The action of Hecke operators to families of Weierstrass-type functions and Weber-type functions and their applications

DOI10.1016/j.amc.2011.03.090zbMath1247.11056OpenAlexW2066368079MaRDI QIDQ648160

Yilmaz Simsek, Aykut Ahmet Aygunes

Publication date: 22 November 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.090

zbMATH Keywords

Riemann zeta functionEisenstein seriestheta functionsBernoulli numbersHecke operatorsgeneralized Dedekind eta functionsWeber functionsWeierstrass type functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) (zeta (s)) and (L(s, chi)) (11M06) Dedekind eta function, Dedekind sums (11F20) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (1)

Eisenstein series and their applications to some arithmetic identities and congruences

Cites Work

• A unified presentation of identities involving Weierstrass-type functions and their applications
• Hecke operators and an identity for the Dedekind sums
• Relations between theta-functions, Hardy sums, Eisenstein and Lambert series in the transformation formula of log \(\eta_{g,h}(z)\).
• A note on Bernoulli identities associated with the Weierstrass ℘-function
• Some families of Weierstrass-type functions and their applications
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