On square of the Riemann zeta function modulus in the critical strip and estimates of means
A new integral representation is derived for the square of the modulus of the Riemann zeta function. Estimates of the Laplace transform of the residual term $E_\sigma(T)$ and of the mean value with respect to a Gaussian function of the square of the modulus of the zeta function are obtained. Bibliography: 6 titles.
Authors
- A. V. Zobnin (ORCID: https://orcid.org/0000-0003-0583-8657)
Institutions
- Joint Institute for High Temperatures (RU)
Publication Details
- Journal
- Sbornik Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.4213/sm10113e
- Primary Topic
- Analytic Number Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Education and Science of the Russian Federation