Lambert series and Ramanujan
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Publication:1329246
DOI10.1007/BF02866991zbMath0849.33012OpenAlexW2075670045MaRDI QIDQ1329246
Publication date: 7 November 1996
Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02866991
Basic hypergeometric functions (33D99) Other special functions (33E99) Additive number theory; partitions (11P99)
Related Items (6)
An asymptotic expansion for a twisted Lambert series associated to a cusp form and the Möbius function: level aspect ⋮ Iterated elliptic and hypergeometric integrals for Feynman diagrams ⋮ Basic and bibasic identities related to divisor functions ⋮ Some new explicit bounds for weakly singular integral inequalities with applications to fractional differential and integral equations ⋮ Pairs of eta-quotients with dual weights and their applications ⋮ Unnamed Item
Cites Work
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- On the paper a 'lost' notebook of Ramanujan
- Ramanujan's ``Lost Notebook. VI: The mock theta conjectures
- An identity for the divisor generating function arising from sorting theory
- Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
- Transformations of non-terminating basic hypergeometric series, their contour integrals and applications to Rogers-Ramanujan identites
- Ramanujan's ``Lost Notebook. VII: The sixth order mock theta functions
- Some continued fractions of the Rogers-Ramanujan type
- An Introduction to Ramanujan's "lost" Notebook
- An Algebraic Identity
- Some Identities Connected with Representations of Numbers
- An Inversion of the Lambert Transform
- A NOTE ON TWO OF RAMANUJAN'S FORMULAE
- A FURTHER NOTE ON TWO OF RAMANUJAN'S FORMULAE
- Further Identities of the Rogers-Ramanujan Type
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