Kniha The distribution of the divisor function in arithmetic progressions Prapanpong Pongsriiam

The distribution of the divisor function in arithmetic progressions

Basics, surveys, methods, second moments, new results

Jazyk: Angličtina
Väzba: Brožovaná
Dostupnosť: Skladom u dodávateľa
Odosielame za 5-8 dní
42.46
Bombieri s average result on primes in arithmetic progressions is the important theorem which substi...

Informácie o knihe

Jazyk
Angličtina
Väzba
Kniha - Brožovaná
Vydalo
2012
Stránok
108
EAN
9783659239441
Enbook ID
07048320
Hmotnosť
177
Rozmery
150 x 220 x 6

Kompletný popis

Bombieri s average result on primes in arithmetic progressions is the important theorem which substitutes, in a certain way, the unproved generalized Riemann hypothesis. This has inspired many researchers to investigate more on this kind of results. Our purpose is to gradually introduce the readers to this active area of research. The basic definitions and notations are thoroughly given. All basic results used in this book are listed with references. A short history and the developement of this subject are discussed. Two new results on the second moment associated with the divisor function in arithmetic progressions are obtained. The large sieve along with two exciting methods of Hooley and Vaughan are our main tools and will be illustrated. Assuming only the material in an introductory course of analytic number theory, this book is therefore suitable for both graduate students and researchers working in the area of number theory.

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