Arithmetic properties of Shimura sums related to several modular forms

DOI10.1007/s10958-012-0748-9zbMath1273.11072OpenAlexW2020732110MaRDI QIDQ690551

Galina V. Voskresenskaya

Publication date: 28 November 2012

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-012-0748-9

zbMATH Keywords

identities involving Shimura sums

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Related Items (2)

Ramanujan-type congruences for ℓ-regular partitions modulo 3, 5, 11 and 13 ⋮ Moments in Pearson's four-step uniform random walk problem and other applications of very well-poised generalized hypergeometric series

Cites Work

• Finite groups and Hecke operators
• On the Shimura lift, après Selberg
• Shimura sums related to imaginary quadratic fields
• Metacyclic groups and modular forms
• One special class of modular forms and group representations
• Multiplicative products of Dedekind \(\eta\)-functions and group representations
• Multiplicative Dedekind \(\eta\)-function and representations of finite groups
• On modular forms of half integral weight
• Cusp forms of weight one, quartic reciprocity and elliptic curves
• On McKay’s conjecture
• Eta-quotients and elliptic curves
• Multiplicative 𝜂-quotients
• The construction of modular forms as products of transforms of the Dedekind eta function
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