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

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Author(s): Pintz, János; Rassias, Michael Th (eds.)
Publisher: Springer Nature
Year: 2018

Language: English
Pages: 217
Tags: Numbers, Prime.;Mathematics.;Number Theory.;Functions of a Complex Variable.;Special Functions.

Content: 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).