國立虎尾科技大學 |

Irregularities in the Distribution of Prime Numbers = From the Era of Helmut Maier's Matrix Method and Beyond /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Irregularities in the Distribution of Prime Numbers/ edited by János Pintz, Michael Th. Rassias.
Reminder of title:	From the Era of Helmut Maier's Matrix Method and Beyond /
other author:	Pintz, János.
Description:	XI, 217 p. 13 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Number theory. -
Online resource:	https://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 János Pintz, Michael Th. Rassias. - 1st ed. 2018. - XI, 217 p. 13 illus., 1 illus. in color.online resource.

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:

527883
Number theory.

LC Class. No.: QA241-247.5

Dewey Class. No.: 512.7

Irregularities in the Distribution of Prime Numbers = From the Era of Helmut Maier's Matrix Method and Beyond /
LDR:03130nam a22003975i 4500 001 998096
003 DE-He213
005 20200629163915.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783319927770 $9 978-3-319-92777-0
024 7 $a 10.1007/978-3-319-92777-0 $2 doi
035 $a 978-3-319-92777-0
050 4 $a QA241-247.5
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
072 7 $a PBH $2 thema
082 0 4 $a 512.7 $2 23
245 1 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 János Pintz, Michael Th. Rassias.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a XI, 217 p. 13 illus., 1 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
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 Number theory. $3 527883
650 0 $a Functions of complex variables. $3 528649
650 0 $a Special functions. $3 1257411
650 1 4 $a Number Theory. $3 672023
650 2 4 $a Functions of a Complex Variable. $3 672126
650 2 4 $a Special Functions. $3 672152
700 1 $a Pintz, János. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1289525
700 1 $a Rassias, Michael Th. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 783127
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319927763
776 0 8 $i Printed edition: $z 9783319927787
776 0 8 $i Printed edition: $z 9783030065140
856 4 0 $u https://doi.org/10.1007/978-3-319-92777-0
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)