Irregularities in the Distribution of Prime Numbers: From the Era of Helmut Maier's Matrix Method an

Janos / Rassias Pintz

217 pages, parution le 15/07/2018

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Résumé

Research inspired by Maier's Matrix Method

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.

Foreword (H. Maier).- Preface.- 1. Chains of Large Gaps Between Primes (K. Ford, J. Maynard, T. Tao).- 2. A Note on the Distrution of Primes in Intervals (T. Freiberg).- 3. Distribution of Large Gaps Between Primes (S. Funkhouser, D.A. Goldston, A.H. Ledoan).- 4. On the Difference in Values of the Euler Totient Function Near Prime Arguments (S.R. Garcia, F. Luca).- 5. Vinogradov's Mean Value Theorem As an Ingredient in Polynomial Large Sieve Inequalities and Some Consequences (K. Halupczok).- 6. Unexpected Regularities in the Behavior of Some Number-Theoretic Power Series (A.J. Hildebrand).- 7. The Convex Hull of the Prime Number Graph (N. McNew).- 8. Irregular Behaviour of Class Numbers and Euler-Kronecker Constants of Cyclotomic Fields: the Log Log Log Devil at Play (P. Moree).- 9. Maier's Matrix Method and Irregularities in the Distribution of Prime Numbers (A. Raigorodskii, M.Th. Rassias).- 10. Sums of Values of Non-Principal Characters Over Shifted Primes (R.Z. Khusenovich).Janos Pintz is a Hungarian mathematician working in analytic number theory. He is a fellow of the Renyi 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 Zurich and a visiting researcher at the Institute for Advanced Study, Princeton. He has also been a researcher at ETH-Zurich and Princeton University. While at Princeton, he collaborated with John F. Nash, Jr., for the Springer volume Open Problems in Mathematics.

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Janos / Rassias Pintz
Parution	15/07/2018
Nb. de pages	217
EAN13	9783319927763

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Irregularities in the Distribution of Prime Numbers: From the Era of Helmut Maier's Matrix Method an

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