000			03404nam a22003498i 4500
001			CR9780511666179
003			UkCbUP
005			20200124160242.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091217s1997||||enk o ||1 0|eng|d
020			_a9780511666179 (ebook)
020			_z9780521625128 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	4	_aQA241 _b.A485 1997
082	0	0	_a512/.72 _221
245	0	0	_aAnalytic number theory / _cedited by Y. Motohashi.
264		1	_aCambridge : _bCambridge University Press, _c1997.
300			_a1 online resource (vi, 382 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v247
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aSubvarieties of linear Tori and the unit equation : a survey ; Remarks on the analytic complexity of zeta functions / E. Bombieri -- Normal distribution of zeta functions and applications / E. Bombieri and A. Perelli -- Goldbach numbers and uniform distribution / J. Brüdern and A. Perelli -- The number of algebraic numbers of given degree approximating of a given algebraic number / J.-H. Evertse -- The Brun-Titchmarsh theorem / J. Friedlander and H. Iwaniec -- A decomposition of Riemann's zeta-function / A. Granville -- Multiplicative properties of consecutive integers / A.J. Hildebrand -- On the equation (x [superscript m] -1)/(x-1) = y[superscript q] with x power / N. Hirata-Kohno and T.N. Shorey -- Congruence families of exponential sums / M.N. Huxley and N. Watt -- On some results concerning the Riemann hypothesis / A. Ivić -- Mean values of Dirichlet series via Laplace transforms / M. Jutila -- The mean square of the error term in a generalization of the Dirichlet divisor problem / K.-Y. Lam and K.M. Tsang -- The Goldbach problem with primes in arithmetic progressions / M.-C. Liu and T. Zhan -- On the sum of the three squares of primes / H. Mikawa -- Trace formula over the hyberbolic upper half space / Y. Motohashi -- Modular forms and the Chebotarev density theorem II / V.K. Murty -- Congruences between modular forms / M.R. Murty -- Regular singularities in G-function theory / M. Nagata -- Spectral theory and L-functions / P. Sarnak -- Irrationality criteria for numbers of Mahler's type / T.N. Shorey and R. Tijdeman -- Hypergeometric functions and irrationality measures / C. Viola -- Forms in many variables / T.D. Wooley -- Remark on the Kuznetsov trace formula / E. Yoshida.
520			_aThis volume presents an authoritative, up-to-date review of analytic number theory. It contains outstanding contributions from leading international figures in this field. Core topics discussed include the theory of zeta functions, spectral theory of automorphic forms, classical problems in additive number theory such as the Goldbach conjecture, and Diophantine approximations and equations. This will be a valuable book for graduates and researchers working in number theory.
650		0	_aNumber theory _vCongresses.
700	1		_aMotohashi, Y. _q(Yoichi), _eeditor.
776	0	8	_iPrint version: _z9780521625128
830		0	_aLondon Mathematical Society lecture note series ; _v247.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511666179
999			_c518642 _d518640