Results 41 to 50 of about 346 (52)
Weakly holomorphic modular forms in prime power levels of genus zero
, 2017 Let $M_k^\sharp(N)$ be the space of weight $k$, level $N$ weakly holomorphic modular forms with poles only at the cusp at $\infty$. We explicitly construct a canonical basis for $M_k^\sharp(N)$ for $N\in\{8,9,16,25\}$, and show that many of the Fourier ...
Da Silva, Caroline M. +3 more
core +1 more source
On a completed generating function of locally harmonic Maass forms
, 2014 While investigating the Doi-Naganuma lift, Zagier defined integral weight cusp forms $f_D$ which are naturally defined in terms of binary quadratic forms of discriminant $D$.
Ben Kane +8 more
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Non-vanishing of $L$-functions associated to cusp forms of half-integral weight
, 2013 In this article, we prove non-vanishing results for $L$-functions associated to holomorphic cusp forms of half-integral weight on average (over an orthogonal basis of Hecke eigenforms). This extends a result of W.
G. Shimura +7 more
core +1 more source
, 2013 Let $k$ be an odd integer $\ge 3$ and $N$ a positive integer such that $4 \mid N$. Let $\chi$ be an even Dirichlet character modulo $N$. Shimura decomposes the space of half-integral weight cusp forms $S_{k/2}(N,\chi)$ as a direct sum of $S_0(N,\chi ...
Kohnen W. +3 more
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Records on the vanishing of Fourier coefficients of Powers Of the Dedekind Eta Function
, 2018 In this paper we significantly extend Serre's table on the vanishing properties of Fourier coefficients of odd powers of the Dedekind eta function. We address several conjectures of Cohen and Str\"omberg and give a partial answer to a question of Ono. In
Heim, Bernhard +2 more
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A note on the Fourier coefficients of a Cohen-Eisenstein series
, 2016 We prove a formula for the coefficients of a weight $3/2$ Cohen-Eisenstein series of square-free level $N$. This formula generalizes a result of Gross and in particular, it proves a conjecture of Quattrini. Let $l$ be an odd prime number.
Krishnamoorthy, Srilakshmi
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An additive problem in the Fourier coefficients of cusp forms
, 2003 We establish an estimate on sums of shifted products of Fourier coefficients coming from holomorphic or Maass cusp forms of arbitrary level and nebentypus. These sums are analogous to the binary additive divisor sum which has been studied extensively. As
Harcos, Gergely
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Period functions for Maass cusp forms for $\Gamma_0(p)$: a transfer operator approach
, 2012 We characterize the Maass cusp forms for Hecke congruence subgroups of prime level as 1-eigenfunctions of a finite-term transfer operator.Comment: 17 pages, 6 ...
Pohl, Anke D.
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Finiteness of simple holomorphic eta quotients of a given weight
, 2016 We provide a simplified proof of Zagier's conjecture / Mersmann's theorem which states that of any particular weight, there are only finitely many holomorphic eta quotients, none of which is an integral rescaling of another eta quotient or a product of ...
Bhattacharya, Soumya
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Congruences for the coefficients of weakly holomorphic modular forms
, 2006 Stephanie Treneer
semanticscholar +1 more source