Results 1 to 10 of about 64,711 (180)
Modular forms of half-integral weight on Γ0(4) with few nonvanishing coefficients modulo ℓ [PDF]
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
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On the algebraicity of coefficients of half-integral weight mock modular forms
Open Mathematics, 2018 Extending works of Ono and Boylan to the half-integral weight case, we relate the algebraicity of Fourier coefficients of half-integral weight mock modular forms to the vanishing of Fourier coefficients of their shadows.
Choi SoYoung, Kim Chang Heon
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Fast computation of half-integral weight modular forms
Rocky Mountain Journal of Mathematics, 2020 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 ...
İlker İnam, Gabor Wiese
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Arithmetic of half integral weight theta-series [PDF]
Acta Arithmetica, 1993 The theory of Hecke operators acting on Siegel modular forms of integral weight and in particular on theta series of integral positive definite quadratic forms in an even number of variables has been developed in great detail by \textit{A. N. Andrianov} [see e.g. his book ``Quadratic forms and Hecke operators'' (Grundlehren Math. Wiss.
Myung-Hwan Kim
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𝐿-series and modular forms of half-integral weight [PDF]
Proceedings of the American Mathematical Society, 1994 Let f be a normalized Hecke eigenform of weight 2k, with k odd. The main result of this paper is an equation representing the value of L ( f , s ) L ( f ⊗ ε , s ) L(f,s)L(f \otimes \varepsilon ,s) at s = k s =
Rhonda L. Hatcher
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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;
Ken Ono, Jorge Jiménez Urroz
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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.
Pavel Guerzhoy +2 more
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On the real zeroes of half-integral weight Hecke cusp forms. [PDF]
Math AnnJääsaari J.
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Modular forms of half-integral weights on SL(2,Z) [PDF]
Nagoya Mathematical Journal, 2011 Abstract In this paper, we prove that, for an integer r with (r, 6) = 1 and 0 < r < 24 and a nonnegative even integer s, the set is isomorphic to as Hecke modules under the Shimura correspondence. Here Ms(1) denotes the space of modular forms of weight is the space of newforms of weight 2k on Γ0 (6) that are ...
Yifan Yang
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Equidistribution of signs for modular eigenforms of half integral weight [PDF]
Archiv der Mathematik, 2013 8 pages; typos corrected, final version, accepted for publication in Archiv der ...
Ilker Inam, Gabor Wiese
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