A new class of theta-function identities originating in Ramanujan’s notebooks

Bruce C. Berndt; Liang Cheng Zhang

doi:10.1006/jnth.1994.1064

A new class of theta-function identities originating in Ramanujan’s notebooks

Bruce C. Berndt, Liang Cheng Zhang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In the unorganized pages of his second notebook, Ramanujan offers two new theta-function identities that have a form different from other identities found in the literature. Using the theory of modular forms, we prove a general theorem containing Ramanujan′s two identities as special cases.

Original language	English (US)
Pages (from-to)	224-242
Number of pages	19
Journal	Journal of Number Theory
Volume	48
Issue number	2
DOIs	https://doi.org/10.1006/jnth.1994.1064
State	Published - Aug 1994

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jnth.1994.1064

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title = "A new class of theta-function identities originating in Ramanujan{\textquoteright}s notebooks",

abstract = "In the unorganized pages of his second notebook, Ramanujan offers two new theta-function identities that have a form different from other identities found in the literature. Using the theory of modular forms, we prove a general theorem containing Ramanujan′s two identities as special cases.",

author = "Berndt, {Bruce C.} and Zhang, {Liang Cheng}",

year = "1994",

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A new class of theta-function identities originating in Ramanujan’s notebooks

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