000			03709nam a22005175i 4500
001			978-0-387-30829-6
003			DE-He213
005			20161121231024.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387308296 _9978-0-387-30829-6
024	7		_a10.1007/0-387-30829-6 _2doi
050		4	_aQA241-247.5
072		7	_aPBH _2bicssc
072		7	_aMAT022000 _2bisacsh
082	0	4	_a512.7 _223
245	1	0	_aNumber Theory _h[electronic resource] : _bTradition and Modernization / _cedited by Wenpeng Zhang, Yoshio Tanigawa.
264		1	_aBoston, MA : _bSpringer US, _c2006.
300			_aXXII, 234 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aDevelopments in Mathematics, _x1389-2177 ; _v15
505	0		_aPositive Finiteness of Number Systems -- On a Distribution Property of the Residual Order of a (mod p)— IV -- Diagonalizing “Bad” Hecke Operators on Spaces of Cusp Forms -- On the Hilbert-Kamke and the Vinogradov Problems in Additive Number Theory -- The Goldbach-Vinogradov Theorem in Arithmetic Progressions -- Densities of Sets of Primes Related to Decimal Expansion of Rational Numbers -- Spherical Functions on p-Adic Homogeneous Spaces -- On Modular forms of Weight (6n + 1)/5 Satisfying a Certain Differential Equation -- Some Aspects of the Modular Relation -- Zeros of Automorphic L-Functions and Noncyclic Base Change -- Analytic Properties of Multiple Zeta-Functions in Several Variables -- Cubic Fields and Mordell Curves -- Towards the Reciprocity of Quartic Theta-Weyl Sums, and Beyond -- Explicit Congruences for Euler Polynomials -- Square-Free Integers as Sums of Two Squares -- Some Applications of L-Functions to the Mean Value of the Dedekind Sums and Cochrane Sums.
520			_aNumber Theory: Tradition and Modernization is a collection of survey and research papers on various topics in number theory. Though the topics and descriptive details appear varied, they are unified by two underlying principles: first, making everything readable as a book, and second, making a smooth transition from traditional approaches to modern ones by providing a rich array of examples. The chapters are presented in quite different in depth and cover a variety of descriptive details, but the underlying editorial principle enables the reader to have a unified glimpse of the developments of number theory. Thus, on the one hand, the traditional approach is presented in great detail, and on the other, the modernization of the methods in number theory is elaborated. The book emphasizes a few common features such as functional equations for various zeta-functions, modular forms, congruence conditions, exponential sums, and algorithmic aspects. Audience This book is intended for researchers and graduate students in analytic number theory.
650		0	_aMathematics.
650		0	_aApproximation theory.
650		0	_aFourier analysis.
650		0	_aSpecial functions.
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aNumber Theory.
650	2	4	_aSpecial Functions.
650	2	4	_aApproximations and Expansions.
650	2	4	_aFourier Analysis.
700	1		_aZhang, Wenpeng. _eeditor.
700	1		_aTanigawa, Yoshio. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387304144
830		0	_aDevelopments in Mathematics, _x1389-2177 ; _v15
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-30829-6
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c507433 _d507433