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Irregularities in the distribution o...

Pintz, Janos.

Irregularities in the distribution of prime numbersfrom the era of Helmut Maier's matrix method and beyond /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Irregularities in the distribution of prime numbersedited by Janos Pintz, Michael Th. Rassias.
Reminder of title:	from the era of Helmut Maier's matrix method and beyond /
other author:	Pintz, Janos.
Published:	Cham :Springer International Publishing :2018.
Description:	xi, 217 p. :digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Numbers, Prime.
Online resource:	http://dx.doi.org/10.1007/978-3-319-92777-0
ISBN:	9783319927770$q(electronic bk.)

Irregularities in the distribution of prime numbersfrom the era of Helmut Maier's matrix method and beyond /
Irregularities in the distribution of prime numbersfrom the era of Helmut Maier's matrix method and beyond /[electronic resource] :edited by Janos Pintz, Michael Th. Rassias. - Cham :Springer International Publishing :2018. - xi, 217 p. :digital ;24 cm.

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)

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.

ISBN: 9783319927770$q(electronic bk.)

Standard No.: 10.1007/978-3-319-92777-0doiSubjects--Topical Terms:

346899
Numbers, Prime.

LC Class. No.: QA246 / .I774 2018

Dewey Class. No.: 512.72

Irregularities in the distribution of prime numbersfrom the era of Helmut Maier's matrix method and beyond /
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505 0 $a 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)
520 $a 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.
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