Representations of certain binary quadratic forms as a sum of Lambert series and eta-quotients

DOI10.1142/S1793042115500578zbMath1319.11022MaRDI QIDQ5253872

Dongxi Ye

Publication date: 5 June 2015

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

zbMATH Keywords

Lambert seriesbinary quadratic formseta-quotients

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Analogues of the Ramanujan-Mordell theorem ⋮ New and simple proofs of Ramanujan’s modular equations of degree 11

Cites Work

• Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms
• Some Lambert series expansions of products of theta functions
• The expansion of ∏_k=1^∞(1-q^ak)(1-q^bk)
• Representations of certain binary quadratic forms as Lambert series
• Some Infinite Products of Ramanujan Type
• On the number of representations of a positive integer by a binary quadratic form

This page was built for publication: Representations of certain binary quadratic forms as a sum of Lambert series and eta-quotients