FAST COMPUTATION OF HALF-INTEGRAL WEIGHT MODULAR FORMS

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dc.authoridWiese, Gabor/0000-0001-5106-6737
dc.contributor.authorInam, Ilker
dc.contributor.authorWiese, Gabor
dc.date.accessioned2025-05-20T18:55:58Z
dc.date.issued2022
dc.departmentBilecik Şeyh Edebali Üniversitesi
dc.description.abstractTo study statistical properties of modular forms, including for instance Sato-Tate like problems, it is essential to be able to compute a large number of Fourier coefficients. We show that this can be achieved in level 4 for a large range of half-integral weights by making use of one of three explicit bases, the elements of which can be calculated via fast power series operations.
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [118F148]; Bilecik Seyh Edebali University [2018-01.BSEU.04-01]
dc.description.sponsorshipThis work was supported by The Scientific and Technological Research Council of Turkey (TUBITAK) with the project number 118F148. Inam acknowledges partial and complement support by Bilecik Seyh Edebali University research project number 2018-01.BSEU.04-01 and would like to thank the University of Luxembourg for the hospitality in several visits. The authors are grateful to Henri Cohen for providing them the initial code for obtaining Hecke eigenforms via Rankin-Cohen brackets in Pari/GP and Winfried Kohnen for interesting discussions. Both authors thank the Izmir Institute of Technology, where a huge part of this research was carried out, for its great hospitality. Thanks also to the referees for valuable comments and fruitful suggestions, which improved the paper.
dc.identifier.doi10.1216/rmj.2022.52.1395
dc.identifier.endpage1401
dc.identifier.issn0035-7596
dc.identifier.issn1945-3795
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85139874409
dc.identifier.scopusqualityQ3
dc.identifier.startpage1395
dc.identifier.urihttps://doi.org/10.1216/rmj.2022.52.1395
dc.identifier.urihttps://hdl.handle.net/11552/7494
dc.identifier.volume52
dc.identifier.wosWOS:000920545500013
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWoS
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWoS - Science Citation Index Expanded
dc.language.isoen
dc.publisherRocky Mt Math Consortium
dc.relation.ispartofRocky Mountain Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20250518
dc.subjectmodular forms of half-integral weight
dc.subjectFourier coefficients
dc.subjectcomputation
dc.subjectRankin-Cohen operators
dc.titleFAST COMPUTATION OF HALF-INTEGRAL WEIGHT MODULAR FORMS
dc.typeArticle

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