Jacob's ladders and |ζ|^-2-representation of some functionals generated by a new class of transcendental integrals

2013/09/26 by Jan Moser, Moser, Jan
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical and Theoretical Analysis #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.1309.6758

openalex publication_date 2013/09/26 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28

Abstract

In this paper we introduce a new infinite set of transcendental integrals. Each of them is expressed by corresponding value of the function |\zf|^-2. Such a property is another argument about universality of the Riemann zeta-function \zf in the field of pure mathematics.

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