Pintz J., Rassias M.Th. (Eds.) Irregularities in the Distribution of Prime Numbers: From the Era of Helmut Maier's Matrix Method and Beyond

Springer, 2018. — 220 p. — ISBN: 978-3-319-92777-0.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.Chains of Large Gaps Between Primes
A Note on the Distribution of Primes in Intervals
Distribution of Large Gaps Between Primes
On the Difference in Values of the Euler Totient Function Near Prime Arguments
Vinogradov’s Mean Value Theorem as an Ingredient in Polynomial Large Sieve Inequalities and Some Consequences
Unexpected Regularities in the Behavior of Some Number-Theoretic Power Series
The Convex Hull of the Prime Number Graph
Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: The Log Log Log Devil at Play
Maier’s Matrix Method and Irregularities in the Distribution of Prime Numbers
Sums of Values of Nonprincipal Characters over Shifted Primes