Year: 2025
Type: article
Abstract: In order to well understand the behavior of the Riemann zeta function inside the critical strip, we show, among other things, the Fourier expansion of the () in the half‐plane and we deduce a necessary and sufficient condition for the truth of the Lindelöf hypothesis. Moreover, if denotes the error term in the Piltz divisor problem then for almost all and any given we have where and denote, respectively, the Fourier coefficients of and Laguerre polynomials.
Source: Mathematische Nachrichten
DOI: 10.1002/mana.70081
Author: Lahoucine Elaissaoui
Institution: Mohammed V University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4416537947