Irregularities in the Distribution of Prime Numbers From the Era of Helmut Maier's Matrix Method and Beyond /
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...
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| Médium: | Elektronický zdroj E-kniha |
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| Jazyk: | English |
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Cham :
Springer International Publishing,
2018.
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| Vydanie: | 1st ed. 2018. |
| Predmet: | |
| ISBN: | 9783319927770 |
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| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 003 | SK-BrCVT | ||
| 005 | 20220618101022.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 180704s2018 gw | s |||| 0|eng d | ||
| 020 | |a 9783319927770 | ||
| 024 | 7 | |a 10.1007/978-3-319-92777-0 |2 doi | |
| 035 | |a CVTIDW10841 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 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. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a XI, 217 p. 13 illus., 1 illus. in color. |b online resource. | ||
| 500 | |a Mathematics and Statistics | ||
| 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). | |
| 516 | |a text file PDF | ||
| 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. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Special functions. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-92777-0 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE08121 | ||
| 919 | |a 978-3-319-92777-0 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 236351 |d 236351 | ||