ON THE SCHRÖTER FORMULA FOR THETA FUNCTIONS

DOI10.1142/S1793042109002754zbMath1185.33026OpenAlexW2012439156MaRDI QIDQ3406096

Zhi-Guo Liu, Xiao-Mei Yang

Publication date: 12 February 2010

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042109002754

zbMATH Keywords

theta functionSchröter formulaRamanujan identitiesHirschhorn septuple product identity

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Elliptic functions and integrals (33E05) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (3)

SOME INVERSE RELATIONS AND THETA FUNCTION IDENTITIES ⋮ A theta function identity of degree eight and Eisenstein series identities ⋮ A note on certain modular equations about infinite products of Ramanujan

Cites Work

• An addition formula for the Jacobian theta function and its applications
• Addition formulas for Jacobi's theta functions, Dedekind's eta function, and Ramanujan's congruences
• Uniform proofs of \(q\)-series-product identities
• New proofs of Ramanujan's partition identities for moduli 5 and 7
• Arithmetical consequences of a sextuple product identity
• A three-term theta function identity and its applications
• On the quintuple product identity
• ELLIPTIC FUNCTIONS AND THE QUINTUPLE, HIRSCHHORN AND WINQUIST PRODUCT IDENTITIES
• A NOTE ON TWO OF RAMANUJAN'S FORMULAE
• A FURTHER NOTE ON TWO OF RAMANUJAN'S FORMULAE

This page was built for publication: ON THE SCHRÖTER FORMULA FOR THETA FUNCTIONS