Jacob's ladders and infinite set of transmutations of asymptotic complete hybrid formula on level curves in Gauss' plane

2019/05/15 by Jan Moser, Moser, Jan
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Meromorphic and Entire Functions #math.CA

paper · pdf · doi:10.48550/arxiv.1905.06078

arxiv created 2019/05/15 · openalex publication_date 2019/05/15 · arxiv updated 2019/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we have obtained new phenomenon lying in the following: every fixed asymptotic complete hybrid formula (we call it as mother formula) generates infinite set of new formulas (transmutations) such that every new formula expresses a close binding between some subset of \|ζ(s)|\ and subset of moduli of certain integral and meromorphic functions.

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