p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight

Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relatio...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Choi, D. [verfasserIn] Choie, Y.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2010

Schlagwörter:	Prime Ideal Modular Form Fourier Coefficient Eisenstein Series Siegel Modular Form

Anmerkung:	© Hebrew University Magnes Press 2010

Übergeordnetes Werk:	Enthalten in: Israel journal of mathematics - Berlin : Springer, 1963, 175(2010), 1 vom: Jan., Seite 61-83
Übergeordnetes Werk:	volume:175 ; year:2010 ; number:1 ; month:01 ; pages:61-83

Links:	Volltext

DOI / URN:	10.1007/s11856-010-0002-4

Katalog-ID:	SPR022820051

Internformat


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520			\|a Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space.
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912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
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912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
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912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
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912			\|a GBV_ILN_2034
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912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
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publishDate	2010
allfields	10.1007/s11856-010-0002-4 doi (DE-627)SPR022820051 (SPR)s11856-010-0002-4-e DE-627 ger DE-627 rakwb eng Choi, D. verfasserin aut p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2010 Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space. Prime Ideal (dpeaa)DE-He213 Modular Form (dpeaa)DE-He213 Fourier Coefficient (dpeaa)DE-He213 Eisenstein Series (dpeaa)DE-He213 Siegel Modular Form (dpeaa)DE-He213 Choie, Y. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 175(2010), 1 vom: Jan., Seite 61-83 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:175 year:2010 number:1 month:01 pages:61-83 https://dx.doi.org/10.1007/s11856-010-0002-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 175 2010 1 01 61-83
spelling	10.1007/s11856-010-0002-4 doi (DE-627)SPR022820051 (SPR)s11856-010-0002-4-e DE-627 ger DE-627 rakwb eng Choi, D. verfasserin aut p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2010 Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space. Prime Ideal (dpeaa)DE-He213 Modular Form (dpeaa)DE-He213 Fourier Coefficient (dpeaa)DE-He213 Eisenstein Series (dpeaa)DE-He213 Siegel Modular Form (dpeaa)DE-He213 Choie, Y. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 175(2010), 1 vom: Jan., Seite 61-83 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:175 year:2010 number:1 month:01 pages:61-83 https://dx.doi.org/10.1007/s11856-010-0002-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 175 2010 1 01 61-83
allfields_unstemmed	10.1007/s11856-010-0002-4 doi (DE-627)SPR022820051 (SPR)s11856-010-0002-4-e DE-627 ger DE-627 rakwb eng Choi, D. verfasserin aut p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2010 Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space. Prime Ideal (dpeaa)DE-He213 Modular Form (dpeaa)DE-He213 Fourier Coefficient (dpeaa)DE-He213 Eisenstein Series (dpeaa)DE-He213 Siegel Modular Form (dpeaa)DE-He213 Choie, Y. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 175(2010), 1 vom: Jan., Seite 61-83 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:175 year:2010 number:1 month:01 pages:61-83 https://dx.doi.org/10.1007/s11856-010-0002-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 175 2010 1 01 61-83
allfieldsGer	10.1007/s11856-010-0002-4 doi (DE-627)SPR022820051 (SPR)s11856-010-0002-4-e DE-627 ger DE-627 rakwb eng Choi, D. verfasserin aut p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2010 Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space. Prime Ideal (dpeaa)DE-He213 Modular Form (dpeaa)DE-He213 Fourier Coefficient (dpeaa)DE-He213 Eisenstein Series (dpeaa)DE-He213 Siegel Modular Form (dpeaa)DE-He213 Choie, Y. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 175(2010), 1 vom: Jan., Seite 61-83 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:175 year:2010 number:1 month:01 pages:61-83 https://dx.doi.org/10.1007/s11856-010-0002-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 175 2010 1 01 61-83
allfieldsSound	10.1007/s11856-010-0002-4 doi (DE-627)SPR022820051 (SPR)s11856-010-0002-4-e DE-627 ger DE-627 rakwb eng Choi, D. verfasserin aut p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Hebrew University Magnes Press 2010 Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space. Prime Ideal (dpeaa)DE-He213 Modular Form (dpeaa)DE-He213 Fourier Coefficient (dpeaa)DE-He213 Eisenstein Series (dpeaa)DE-He213 Siegel Modular Form (dpeaa)DE-He213 Choie, Y. aut Enthalten in Israel journal of mathematics Berlin : Springer, 1963 175(2010), 1 vom: Jan., Seite 61-83 (DE-627)32654528X (DE-600)2042388-3 1565-8511 nnns volume:175 year:2010 number:1 month:01 pages:61-83 https://dx.doi.org/10.1007/s11856-010-0002-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 175 2010 1 01 61-83
language	English
source	Enthalten in Israel journal of mathematics 175(2010), 1 vom: Jan., Seite 61-83 volume:175 year:2010 number:1 month:01 pages:61-83
sourceStr	Enthalten in Israel journal of mathematics 175(2010), 1 vom: Jan., Seite 61-83 volume:175 year:2010 number:1 month:01 pages:61-83
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Prime Ideal Modular Form Fourier Coefficient Eisenstein Series Siegel Modular Form
isfreeaccess_bool	false
container_title	Israel journal of mathematics
authorswithroles_txt_mv	Choi, D. @@aut@@ Choie, Y. @@aut@@
publishDateDaySort_date	2010-01-01T00:00:00Z
hierarchy_top_id	32654528X
id	SPR022820051
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author	Choi, D.
spellingShingle	Choi, D. misc Prime Ideal misc Modular Form misc Fourier Coefficient misc Eisenstein Series misc Siegel Modular Form p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight
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topic_title	p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight Prime Ideal (dpeaa)DE-He213 Modular Form (dpeaa)DE-He213 Fourier Coefficient (dpeaa)DE-He213 Eisenstein Series (dpeaa)DE-He213 Siegel Modular Form (dpeaa)DE-He213
topic	misc Prime Ideal misc Modular Form misc Fourier Coefficient misc Eisenstein Series misc Siegel Modular Form
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title	p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight
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title_full	p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight
author_sort	Choi, D.
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doi_str_mv	10.1007/s11856-010-0002-4
title_sort	p-adic limit of the fourier coefficients of weakly holomorphic modular forms of half integral weight
title_auth	p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight
abstract	Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space. © Hebrew University Magnes Press 2010
abstractGer	Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space. © Hebrew University Magnes Press 2010
abstract_unstemmed	Abstract Serre obtained the p-adic limit of the integral Fourier coefficients of modular forms on SL2(ℤ) for p = 2, 3, 5, 7. In this paper, we extend the result of Serre to weakly holomorphic modular forms of half integral weight on $ Γ_{0} $(4N) for N = 1, 2, 4. The proof is based on linear relations among Fourier coefficients of modular forms of half integral weight. As applications to our main result, we obtain congruences on various modular objects, such as those for Borcherds exponents, for Fourier coefficients of quotients of Eisentein series and for Fourier coefficients of Siegel modular forms on the Maass Space. © Hebrew University Magnes Press 2010
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title_short	p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight
url	https://dx.doi.org/10.1007/s11856-010-0002-4
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up_date	2024-07-03T15:04:21.179Z
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p-Adic limit of the Fourier coefficients of weakly holomorphic modular forms of half integral weight

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