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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Irregularities in the distribution of prime numbers/ edited by Janos Pintz, Michael Th. Rassias.
其他題名:	from the era of Helmut Maier's matrix method and beyond /
其他作者:	Pintz, Janos.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xi, 217 p. :digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Numbers, Prime. -
電子資源:	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:

672195
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 /
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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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