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 |