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Riemann hypothesis for period polynomials for cusp forms on Γ0(N).

Authors :
Choi, SoYoung
Source :
International Journal of Number Theory. Sep2024, Vol. 20 Issue 8, p2027-2043. 17p.
Publication Year :
2024

Abstract

We prove that for even integer k, almost all of zeros of the period polynomial associated to a cusp form of weight k on Γ 0 (N) are on the circle | z | = 1 ∕ N under some conditions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17930421
Volume :
20
Issue :
8
Database :
Academic Search Index
Journal :
International Journal of Number Theory
Publication Type :
Academic Journal
Accession number :
179082485
Full Text :
https://doi.org/10.1142/S1793042124500982