Results 21 to 30 of about 327 (36)
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
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Taylor coefficients of non-holomorphic Jacobi forms and applications
, 2017 In this paper, we prove modularity results of Taylor coefficients of certain non-holomorphic Jacobi forms. It is well-known that Taylor coefficients of holomorphic Jacobi forms are quasimoular forms.
Bringmann, Kathrin
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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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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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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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, 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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Sign changes of coefficients of half integral weight modular forms
, 2007 For a half integral weight modular form $f$ we study the signs of the Fourier coefficients $a(n)$. If $f$ is a Hecke eigenform of level $ N$ with real Nebentypus character, and $t$ is a fixed square-free positive integer with $a(t)\neq 0$, we show that ...
Bruinier, Jan Hendrik, Kohnen, Winfried
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Combination of a triple wavelength (650 nm, 810 nm, and 915 nm) class IV laser system and local mechanical abrasion in the treatment of chronic toenail onychomycosis: an uncontrolled prospective pilot study. [PDF]
Int J Dermatol, 2022 Aukstikalnyte AE +3 more
europepmc +1 more source
Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions. [PDF]
Ramanujan J, 2021 Klein D, Kupka J.
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, 2019 \textit{Weak moonshine} for a finite group $G$ is the phenomenon where an infinite dimensional graded $G$-module $$V_G=\bigoplus_{n\gg-\infty}V_G(n)$$ has the property that its trace functions, known as McKay-Thompson series, are modular functions ...
Dawsey, Madeline Locus, Ono, Ken
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