Some Lambert series expansions of products of theta functions

DOI10.1023/A:1009853106329zbMath0938.11017OpenAlexW1496320939MaRDI QIDQ1964786

Kenneth S. Williams

Publication date: 21 June 2000

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1009853106329

zbMATH Keywords

Lambert seriesbinary quadratic formstheta functions

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) General binary quadratic forms (11E16)

Related Items (7)

Ramanujan series for Epstein zeta functions ⋮ Epstein zeta function and Bloch-Wigner dilogarithm ⋮ Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms ⋮ On the number of representations of \(n\) by \(ax(x-1)/2+by(y-1)/2\) ⋮ Several identities for certain products of theta functions ⋮ Representations of certain binary quadratic forms as a sum of Lambert series and eta-quotients ⋮ Theta series associated with certain positive definite binary quadratic forms

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