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Displaying 21 – 40 of 158

Coefficient bounds for level 2 cusp forms

Paul Jenkins, Kyle Pratt (2015)

Acta Arithmetica

We give explicit upper bounds for the coefficients of arbitrary weight k, level 2 cusp forms, making Deligne’s well-known $O (n^{(k - 1) / 2 + ϵ})$ bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions.

Congruence Properties and Density Problems for the Fourier Coefficients of Modular Forms.

T. Hjelle, T. Klove (1968)

Mathematica Scandinavica

Congruences for the coefficients of quotients of Eisenstein series

Bruce C. Berndt, Ae Ja Yee (2002)

Acta Arithmetica

Congruences for the Coefficients of the Modular Invariant j(...).

Hans-Fredrick Aas (1964)

Mathematica Scandinavica

Congruences for the Coefficients of the Modular Invariant j(...).

Hans-Fredrick Aas (1964)

Mathematica Scandinavica

Constructing modular forms from harmonic Maass Jacobi forms

Ran Xiong, Haigang Zhou (2021)

Czechoslovak Mathematical Journal

We construct a family of modular forms from harmonic Maass Jacobi forms by considering their Taylor expansion and using the method of holomorphic projection. As an application we present a certain type Hurwitz class relations which can be viewed as a generalization of Mertens' result in M. H. Mertens (2016).