Results 11 to 20 of about 167,831,130 (242)
Fourier coefficients of modular forms of half-integral weight
Mathematische Annalen, 1985 In two important papers [J. Math. Pures Appl., IX. Sér. 59, 1--32 (1980; Zbl 0412.10019); ibid. 60, 375--484 (1981; Zbl 0431.10015)] \textit{J.-L. Waldspurger} showed that under the Shimura correspondence between Hecke eigenforms of weight \(k+1/2\) and weight \(2k\) the square of the \(m\)th Fourier coefficient (\(m\) squarefree) of a form of half ...
Kohnen, Winfried
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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 2 k , with k odd. The main result of this paper is an equation representing the value of
Rhonda L. Hatcher
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Spectacle cycles with coefficients and modular forms of half-integral weight [PDF]
, 2011 In this paper we present a geometric way to extend the Shintani lift from even weight cusp forms for congruence subgroups to arbitrary modular forms, in particular Eisenstein series. This is part of our efforts to extend in the noncompact situation the results of Kudla-Millson and Funke-Millson relating Fourier coefficients of (Siegel) modular forms ...
Funke, J., Millson, J.
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The p-adic L-function for half-integral weight modular forms [PDF]
manuscripta mathematica, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mercuri, Salvatore
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The C-terminal domain of yeast Arginyltransferase1 is essential for its catalytic activity. [PDF]
FEBS Open BioArginyltransferase 1 (Ate1), a eukaryotic enzyme, catalyses arginylation, transferring arginine from tRNA‐Arg to the amino terminus of the target protein. Overexpression of Ate1 in yeast is lethal and is dependent on arginylation. This study elucidates how mutations in the cofactor‐binding and active site of Ate1 and truncation of its structural ...
Yadav VK +4 more
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Analogues of the Bol operator for half-integral weight weakly holomorphic modular forms [PDF]
, 2022 We define an analogue of the Bol operator on spaces of weakly holomorphic modular forms of half-integral weight.
Lee, M. +2 more
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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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Ternary quadratic forms and half-integral weight modular forms [PDF]
LMS Journal of Computation and Mathematics, 2012 AbstractLet k be a positive integer such that k≡3 mod 4, and let N be a positive square-free integer. In this paper, we compute a basis for the two-dimensional subspace Sk/2(Γ0(4N),F) of half-integral weight modular forms associated, via the Shimura correspondence, to a newform F∈Sk−1(Γ0(N)), which satisfies $L(F,\frac {1}{2})\neq 0$.
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On the Fourier expansions of Jacobi forms of half-integral weight
International Journal of Mathematics and Mathematical Sciences, 2006 Using the relationship between Jacobi forms of half-integral weight and vector valued modular forms, we obtain the number of components which determine the given Jacobi form of index p, p2 or pq, where p and q are odd primes.
B. Ramakrishnan, Brundaban Sahu
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On the Fourier expansions of Jacobi forms
International Journal of Mathematics and Mathematical Sciences, 2004 We use the relationship between Jacobi forms and vector-valued modular forms to study the Fourier expansions of Jacobi forms of indexes p, p2, and pq for distinct odd primes p, q.
Howard Skogman
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