Irregularities In The Distribution Of Prime Numbers - Pintz János (Curatore); Rassias Michael Th. (Curatore) | Libro Springer 02/2019 -

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pintz jános (curatore); rassias michael th. (curatore) - irregularities in the distribution of prime numbers

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


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Lingua: Inglese


Pubblicazione: 02/2019
Edizione: Softcover reprint of the original 1st ed. 2018


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.


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).


János Pintz is a Hungarian mathematician working in analytic number theory. He is a fellow of the Rényi Mathematical Institute and is also a member of the Hungarian Academy of Sciences. In 2014, he received the Cole Prize.

Michael Th. Rassias is a Latsis Foundation Senior Fellow at the University of Zürich and a visiting researcher at the Institute for Advanced Study, Princeton. He has also been a researcher at ETH-Zürich and Princeton University. While at Princeton, he collaborated with John F. Nash, Jr., for the Springer volume Open Problems in Mathematics. 

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Condizione: Nuovo
Dimensioni: 235 x 155 mm Ø 361 gr
Formato: Brossura
Illustration Notes:12 Illustrations, black and white
Pagine Arabe: 217
Pagine Romane: xi

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