Ramanujan’s 1ψ1 summation, Hecke-type double sums, and Appell–Lerch sums
Abstract We use a specialization of Ramanujan’s 1ψ1 summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell–Lerch sums and theta functions.
Gespeichert in:
| Autor*in: |
Mortenson, Eric [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2012 |
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| Übergeordnetes Werk: |
Enthalten in: The Ramanujan journal - Springer US, 1997, 29(2012), 1-3 vom: 18. Juli, Seite 121-133 |
|---|---|
| Übergeordnetes Werk: |
volume:29 ; year:2012 ; number:1-3 ; day:18 ; month:07 ; pages:121-133 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11139-012-9379-5 |
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OLC2059649137 |
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| 520 | |a Abstract We use a specialization of Ramanujan’s 1ψ1 summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell–Lerch sums and theta functions. | ||
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Ramanujan’s 1ψ1 summation, Hecke-type double sums, and Appell–Lerch sums |
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Abstract We use a specialization of Ramanujan’s 1ψ1 summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell–Lerch sums and theta functions. © Springer Science+Business Media, LLC 2012 |
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Abstract We use a specialization of Ramanujan’s 1ψ1 summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell–Lerch sums and theta functions. © Springer Science+Business Media, LLC 2012 |
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Abstract We use a specialization of Ramanujan’s 1ψ1 summation to give a new proof of a recent formula of Hickerson and Mortenson which expands a special family of Hecke-type double sums in terms of Appell–Lerch sums and theta functions. © Springer Science+Business Media, LLC 2012 |
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