Twisted Kronecker series and periods of modular forms on Γ0(N)
SCIE
SCOPUS
- Title
- Twisted Kronecker series and periods of modular forms on Γ0(N)
- Authors
- CHOIE, YOUNG JU; Blakestad, Clifford
- Date Issued
- 2024-06
- Publisher
- Academic Press
- Abstract
- We introduce an infinite family of Kronecker series twisted by characters. As an application, we give a closed formula for the sum of all Hecke eigenforms on Γ0(N) multiplied by their twisted period polynomials in terms of the product of those twisted Kronecker series, when N is square free. This extends an identity of Zagier among period polynomials, Hecke eigenforms and a quotient of Jacobi theta series. © 2024 Elsevier Inc.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/123144
- DOI
- 10.1016/j.aim.2024.109672
- ISSN
- 0001-8708
- Article Type
- Article
- Citation
- Advances in Mathematics, vol. 446, page. 109672 - 109672, 2024-06
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