The conservative matrix field

2023/03/15 by Ofir David, David, Ofir · 1 citation
Mathematics · #11J70 #11J72 #40A15 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM) #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2303.09318

openalex publication_date 2023/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new structure called the "conservative matrix field", initially developed to elucidate and provide insight into the methodologies employed by Apéry's in his proof of the irrationality of the Riemann zeta function at 3. This framework is also applicable to other well known mathematical constants, such as e, π, ln(2), and more, and can be used to study their properties. Moreover, the conservative matrix field exhibits inherent connections to various ideas and techniques in number theory, thereby indicating promising avenues for further applications and investigations.

Cited by

• On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic

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