Some new old-fashioned modular identities

DOI10.1023/A:1009782529605zbMath0909.11018MaRDI QIDQ1265270

Paul T. Bateman, Marvin Isadore Knopp

Publication date: 8 April 1999

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

zbMATH Keywords

sums of squaresmodular functionssum of divisorsmodular identitiestheta group

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Holomorphic modular forms of integral weight (11F11) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (8)

Unnamed Item ⋮ Proofs of some conjectures of Sun on the relations between \(T(a, b, c, d; n)\) and \(N(a, b, c, d; n)\) ⋮ Sums of triangular numbers and sums of squares ⋮ Proofs of some conjectures of Sun on representations by linear combinations of triangular numbers ⋮ SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS INDUCED BY PARTITIONS OF 8 ⋮ Ramanujan’s theta functions and sums of triangular numbers ⋮ A GENERAL RELATION BETWEEN SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS ⋮ A NOTE ON SPECIAL VALUES OF CERTAIN DIRICHLET L-FUNCTIONS

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