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Riemann hypothesis for period polynomials for cusp forms on Γ<sub>0</sub>(N)

Authors
Choi, Soyoung
Issue Date
Sep-2024
Publisher
World Scientific Publishing Co
Keywords
Cusp form; period polynomial; Riemann hypothesis; zero
Citation
International Journal of Number Theory, v.20, no.08, pp 1 - 17
Pages
17
Indexed
SCIE
SCOPUS
Journal Title
International Journal of Number Theory
Volume
20
Number
08
Start Page
1
End Page
17
URI
https://scholarworks.gnu.ac.kr/handle/sw.gnu/70799
DOI
10.1142/S1793042124500982
ISSN
1793-0421
1793-7310
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 Gamma(0)(N) are on the circle |z| = 1/root N under some conditions.
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