zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Analytic number theory. An introductory course. (English) Zbl 1074.11001
Monographs in Number Theory 1. River Edge, NJ: World Scientific (ISBN 981-238-938-5/hbk; 981-256-080-7/pbk). xiii, 360 p. £ 26.00; $ 42.00 pbk; £ 48.00; $ 78.00 hbk (2004).
This textbook steers a gentle course through multiplicative analytic number theory. Beginning with arithmetic functions and their summatory functions, it takes the student through the elementary proof of the prime number theorem (PNT), and then to Dirichlet series, the Wiener-Ikehara proof of the PNT, and then to the classical proof, with de la Vallée-Poussin’s error term. One then meets characters, Dirichlet $L$-functions, and the PNT for arithmetic progressions, followed by some simple oscillation theorems. The book concludes with two chapters on sieves. There are exercises scattered throughout the book, and end of chapter notes. This book is suitable for beginning graduate students, or possibly even advanced undergraduates.

11-01Textbooks (number theory)
11MxxAnalytic theory of zeta and $L$-functions
11NxxMultiplicative number theory
11N37Asymptotic results on arithmetic functions
11N36Applications of sieve methods
11N05Distribution of primes
11M06$\zeta (s)$ and $L(s, \chi)$