Results 1 to 10 of about 167,831,130 (242)
A note on the Fourier coefficients of half-integral weight modular forms [PDF]
Archiv Der Mathematik, 2014 To appear in Archiv der ...
Narasimha Kumar
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Fast computation of half-integral weight modular forms [PDF]
Rocky Mountain Journal of Mathematics, 2022 To study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to have a large number of Fourier coefficients. In this article, we exhibit three bases for the space of modular forms of any half-integral weight and level 4, which have the property that many coefficients can be computed (relatively ...
Inam, Ilker, Wiese, Gabor
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Periodicities for Taylor coefficients of half-integral weight modular forms [PDF]
Pacific Journal of Mathematics, 2020 Congruences of Fourier coefficients of modular forms have long been an object of central study. By comparison, the arithmetic of other expansions of modular forms, in particular Taylor expansions around points in the upper-half plane, has been much less studied. Recently, Romik made a conjecture about the periodicity of coefficients around $τ=i$ of the
Guerzhoy, P., Mertens, M., Rolen, L.
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Coefficients of half-integral weight modular forms [PDF]
Journal of Number Theory, 2003 Inspired by Kolyvagin's celebrated work on the Birch and Swinnerton-Dyer Conjecture and works of Waldspurger, Kohnen and Zagier relating the Fourier coefficients of half-integral weight Hecke eigenforms to values of modular \(L\)-functions (there have been a number of works on the indivisibility of the coefficients of half-integral weight modular forms)
Bruinier, Jan H., Ono, Ken
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Period functions of half-integral weight modular forms [PDF]
Journal de théorie des nombres de Bordeaux, 2015 In this paper, we study the Eichler cohomology associated with half-integral weight cusp forms using the Dedekind eta function η ( z )
Choi, Dohoon, Lim, Subong, Raji, Wissam
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Modular forms of half-integral weight on Γ0(4) with few nonvanishing coefficients modulo ℓ
Open Mathematics, 2022 Let kk be a nonnegative integer. Let KK be a number field and OK{{\mathcal{O}}}_{K} be the ring of integers of KK. Let ℓ≥5\ell \ge 5 be a prime and vv be a prime ideal of OK{{\mathcal{O}}}_{K} over ℓ\ell . Let ff be a modular form of weight k+12k+\frac{1}
Choi Dohoon, Lee Youngmin
doaj +2 more sources
On “good” half-integral weight modular forms [PDF]
Mathematical Research Letters, 2000 The authors prove a result on the nonvanishing of Fourier coefficients of modular forms of half-integral weight. Recently, there have been quite a few papers in this field by, among others, \textit{J. Bruinier} [Abh. Math. Sem. Univ. Hamb. 68, 163--168 (1998; Zbl 0954.11016)] and \textit{K. Ono} [C. R. Math. Acad. Sci., Soc. R. Can. 20, 103--107 (1998;
Jiménez-Urroz, Jorge, Ono, Ken
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Bounds for twisted symmetric square L-functions via half-integral weight periods
Forum of Mathematics, Sigma, 2020 We establish the first moment bound $$\begin{align*}\sum_{\varphi} L(\varphi \otimes \varphi \otimes \Psi, \tfrac{1}{2}) \ll_\varepsilon p^{5/4+\varepsilon} \end{align*}$$ for triple product L-functions, where $\Psi $ is a fixed Hecke ...
Paul D. Nelson
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SIGN OF FOURIER COEFFICIENTS OF MODULAR FORMS OF HALF‐INTEGRAL WEIGHT [PDF]
Mathematika, 2016 We establish lower bounds for (i) the numbers of positive and negative terms and (ii) the number of sign changes in the sequence of Fourier coefficients at squarefree integers of a half-integral weight modular Hecke eigenform.
Lau, Yuk-Kam, Royer, Emmanuel, Wu, Jie
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Half-integral weight modular forms and modular forms for Weil representations [PDF]
manuscripta mathematica, 2019 26 ...
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