000			nam a22 7a 4500
999			_c28884 _d28884
008			180212b xxu||||| |||| 00| 0 eng d
020			_a9781470437305
082			_a512.73 _bOVE
100			_aOverholt, Marius
245			_aCourse in analytic number theory
260			_bAmerican Mathematical Society, _aIsland: _c2014
300			_axviii, 371 p. _c24 cm.
365			_aINr _b1225.00
440			_aGraduate studies in mathematics ; volume 160
520			_aThis book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions, and the Prime Number Theorem. But it also covers more challenging topics that might be used in a second course, such as the Siegel-Walfisz theorem, functional equations of L-functions, and the explicit formula of von Mangoldt. For students with an interest in Diophantine analysis, there is a chapter on the Circle Method and Waring's Problem. Those with an interest in algebraic number theory may find the chapter on the analytic theory of number fields of interest, with proofs of the Dirichlet unit theorem, the analytic class number formula, the functional equation of the Dedekind zeta function, and the Prime Ideal Theorem.
650			_aNumber theory
650			_aInversion formula
650			_aArithmetic functions
650			_aCircle method
650			_aPrime Number Theorem
650			_aExplicit formulas
942			_cBK