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- Title
NEW EFFECTIVE RESULTS IN THE THEORY OF THE RIEMANN ZETA-FUNCTION.
- Authors
SIMONIČ, ALEKSANDER
- Abstract
The article informs about new effective results in the theory of the Riemann zeta-function, focusing on four groups providing estimates for the zeta-function and associated functions under the assumption of the Riemann hypothesis. Topic include explicit and RH estimates for various functions related to the zeta-function, including their applications to the distribution of prime numbers and other arithmetic properties, emphasizing the importance of these findings in mathematical research.
- Subjects
PRIME number theorem; ANALYTIC number theory; RIEMANN hypothesis; ZETA functions; ARITHMETIC series; NUMBER theory
- Publication
Bulletin of the Australian Mathematical Society, 2024, Vol 109, Issue 2, p403
- ISSN
0004-9727
- Publication type
Article
- DOI
10.1017/S0004972723001132