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On universality in short intervals for zeta-functions of certain cusp forms.
- Source :
-
Mathematica Slovaca . Jun2024, Vol. 74 Issue 3, p595-606. 12p. - Publication Year :
- 2024
-
Abstract
- In this paper, we consider universality in short intervals for the zeta-function attached to a normalized Hecke-eigen cusp form with respect to the modular group. For this, we apply a conjecture for the mean square in short interval on the critical strip for that zeta-function. The proof of the obtained universality theorem is based on a probabilistic limit theorem in the space of analytic functions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01399918
- Volume :
- 74
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Mathematica Slovaca
- Publication Type :
- Academic Journal
- Accession number :
- 178073652
- Full Text :
- https://doi.org/10.1515/ms-2024-0045