Irregularities in the Distribution of Prime Numbers
From the Era of Helmut Maier's Matrix Method and Beyond
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Beschreibung
This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier’s matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics.
This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier’s matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics.
Contains open problems and new directions for future research in a simple, self-contained format Features contributions by experts from the international community Provides an historical overview of a large body of research in analytic number theory and approximation theory
Autor*in
János Pintz
Themen in »Irregularities in the Distribution of Prime Numbers«
analytic number theory approximation theory probabilistic theory additive number theory computational number theory Vinogradov's mean value theorem Euler totient function Euler-Kronecker constants