Jacob's ladders, point of contact of the remainder in the prime-number law with the Fermat-Wiles theorem and multiplicative puzzles on some sets of integrals

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1. Verfasser: Moser, Jan
Format: Preprint
Veröffentlicht: 2026
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author Moser, Jan
author_facet Moser, Jan
contents In this paper we prove, on the Riemann hypothesis, the existence of such increments of the Ingham integral (1932) that generate new functionals together with corresponding new $Pζ$-equivalents of the Fermat-Wiles theorem. We obtain also new results in this direction.
format Preprint
id arxiv_https___arxiv_org_abs_2601_13855
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Jacob's ladders, point of contact of the remainder in the prime-number law with the Fermat-Wiles theorem and multiplicative puzzles on some sets of integrals
Moser, Jan
Number Theory
In this paper we prove, on the Riemann hypothesis, the existence of such increments of the Ingham integral (1932) that generate new functionals together with corresponding new $Pζ$-equivalents of the Fermat-Wiles theorem. We obtain also new results in this direction.
title Jacob's ladders, point of contact of the remainder in the prime-number law with the Fermat-Wiles theorem and multiplicative puzzles on some sets of integrals
topic Number Theory
url https://arxiv.org/abs/2601.13855