東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Irregularities in the distribution o...

Pintz, Janos.

Linked to FindBook

Google Book

Amazon

博客來

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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Irregularities in the distribution of prime numbers/ edited 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.
[NT 15003449]:	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)
Contained By:	Springer eBooks
Subject:	Numbers, Prime. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-92777-0
ISBN:	9783319927770

Irregularities in the distribution of prime numbers = from 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

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

521084
Numbers, Prime.

LC Class. No.: QA246 / .I774 2018

Dewey Class. No.: 512.72

Irregularities in the distribution of prime numbers = from the era of Helmut Maier's matrix method and beyond /
LDR:02699nmm a2200313 a 4500 001 2152503
003 DE-He213
005 20190129172610.0
006 m d
007 cr nn 008maaau
008 190403s2018 gw s 0 eng d
020 $a 9783319927770 $q (electronic bk.)
020 $a 9783319927763 $q (paper)
024 7 $a 10.1007/978-3-319-92777-0 $2 doi
035 $a 978-3-319-92777-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA246 $b .I774 2018
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
082 0 4 $a 512.72 $2 23
090 $a QA246 $b .I71 2018
245 0 0 $a Irregularities in the distribution of prime numbers $h [electronic resource] : $b from the era of Helmut Maier's matrix method and beyond / $c edited by Janos Pintz, Michael Th. Rassias.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xi, 217 p. : $b digital ; $c 24 cm.
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.
650 0 $a Numbers, Prime. $3 521084
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Number Theory. $3 891078
650 2 4 $a Functions of a Complex Variable. $3 897310
650 2 4 $a Special Functions. $3 897326
700 1 $a Pintz, Janos. $3 3338887
700 1 $a Rassias, Michael Th. $3 2059563
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-92777-0
950 $a Mathematics and Statistics (Springer-11649)