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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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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 =
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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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Diagonalising modular forms of half-integral weight
Journal of Number Theory, 1992 The authors continue their study [J. Number Theory 34, 210-224 (1990; Zbl 0704.11013)] on cusp forms of half-integral weight on the groups \(\Gamma_ 0(4M)\) for odd squarefree \(M\). They introduce operators \(C(4)\) and \(C(p^ 2)\) for the primes \(p\mid M\) which are analogous to the operators \(C(p)\) for cusp forms of even weight introduced by ...
Manickam, M. +2 more
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Sign changes of fourier coefficients of modular forms of half integral weight, 2 [PDF]
, 2016 In this paper, we investigate the sign changes of Fourier coefficients of half-integral weight Hecke eigenforms and give two quantitative results on the number of sign ...
Jiang, Yujiao +4 more
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Generating weights for the Weil representation attached to an even order cyclic quadratic module [PDF]
, 2017 We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group.
Candelori, Luca +2 more
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Locally harmonic Maass forms and the kernel of the Shintani lift [PDF]
, 2014 In this paper we define a new type of modular object and construct explicit examples of such functions. Our functions are closely related to cusp forms constructed by Zagier which played an important role in the construction by Kohnen and Zagier of a ...
Bringmann, Kathrin +2 more
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Quantum Invariant, Modular Form, and Lattice Points [PDF]
, 2004 We study the Witten--Reshetikhin--Turaev SU(2) invariant for the Seifert manifold with 4-singular fibers. We define the Eichler integrals of the modular forms with half-integral weight, and we show that the invariant is rewritten as a sum of the Eichler ...
Hikami, Kazuhiro
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