## About this book

### Introduction

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.

### Keywords

analytic number theory approximation theory probabilistic theory additive number theory computational number theory Vinogradov's mean value theorem Euler totient function Euler-Kronecker constants

### Editors and affiliations

- János Pintz
- Michael Th. Rassias

- 1.Alfréd Rényi Institute of MathematicsHungarian Academy of SciencesBudapestHungary
- 2.Institute of MathematicsUniversity of ZürichZürichSwitzerland

#### About the editors

János Pintz is a Hungarian mathematician working in analytic number theory. He is a fellow of the Rényi Mathematical Institute and is also a member of the Hungarian Academy of Sciences. In 2014, he received the Cole Prize.

Michael Th. Rassias is a Latsis Foundation Senior Fellow at the University of Zürich and a visiting researcher at the Institute for Advanced Study, Princeton. He has also been a researcher at ETH-Zürich and Princeton University. While at Princeton, he collaborated with John F. Nash, Jr., for the Springer volume Open Problems in Mathematics.

### Bibliographic information