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

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Pintz, János (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Rassias, Michael Th (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Θέματα: Number theory.; Functions of complex variables.; Special functions.; Number Theory.; Functions of a Complex Variable.; Special Functions.

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...

Πίνακας περιεχομένων:

• 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).