- search hit 1 of 1
The weak Gram law for Hecke \(L\)-functions
Please always quote using this URN: urn:nbn:de:bvb:20-opus-324404
- We generalize a theorem by Titchmarsh about the mean value of Hardy’s \(Z\)-function at the Gram points to the Hecke \(L\)-functions, which in turn implies the weak Gram law for them. Instead of proceeding analogously to Titchmarsh with an approximate functional equation we employ a different method using contour integration.
Author: | Sebastian Weishäupl |
---|---|
URN: | urn:nbn:de:bvb:20-opus-324404 |
Document Type: | Journal article |
Faculties: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Language: | English |
Parent Title (English): | The Ramanujan Journal |
ISSN: | 1382-4090 |
Year of Completion: | 2023 |
Volume: | 60 |
Issue: | 4 |
Pagenumber: | 981-997 |
Source: | The Ramanujan Journal (2023) 60:4, 981-997 DOI: 10.1007/s11139-022-00638-5 |
DOI: | https://doi.org/10.1007/s11139-022-00638-5 |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Tag: | Gram points; Gram’s law; Hecke L-functions; Hecke eigenforms |
Release Date: | 2024/02/28 |
Licence (German): | CC BY: Creative-Commons-Lizenz: Namensnennung 4.0 International |