Reference : Fast bases for half-integral weight modular forms
Scientific congresses, symposiums and conference proceedings : Unpublished conference
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/51642
Fast bases for half-integral weight modular forms
English
Wiese, Gabor mailto [University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH) >]
2021
No
Yes
International
Arithmetic, Geometry, Cryptography and Coding Theory (AGC2T-18)
31/05/2021 - 04/06/2021
[en] In this joint work with Ilker Inam, we exploit classical results of Kohnen and Cohen to give explicit bases of the spaces of half-integral weight modular forms of level Gamma_0(4) in any weight, which can be compared to the Miller bases for integral weight modular forms of level 1. They are very simple and can be computed quickly by performing power series multiplications. In further work with Inam et al., we apply them to a computational study of the distribution of signs of such modular forms.
http://hdl.handle.net/10993/51642

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