000			03336nam a22005295i 4500
001			978-3-540-36364-4
003			DE-He213
005			20190213151554.0
007			cr nn 008mamaa
008			100301s2006 gw | s |||| 0|eng d
020			_a9783540363644 _9978-3-540-36364-4
024	7		_a10.1007/3-540-36363-7 _2doi
050		4	_aQA241-247.5
072		7	_aPBH _2bicssc
072		7	_aMAT022000 _2bisacsh
072		7	_aPBH _2thema
082	0	4	_a512.7 _223
100	1		_aFriedlander, J. B. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aAnalytic Number Theory _h[electronic resource] : _bLectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 11–18, 2002 / _cby J. B. Friedlander, D. R. Heath-Brown, H. Iwaniec, J. Kaczorowski ; edited by Alberto Perelli, Carlo Viola.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006.
300			_aXI, 217 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aC.I.M.E. Foundation Subseries ; _v1891
505	0		_aProducing Prime Numbers via Sieve Methods -- Counting Rational Points on Algebraic Varieties -- Conversations on the Exceptional Character -- Axiomatic Theory of L-Functions: the Selberg Class.
520			_aThe four contributions collected in this volume deal with several advanced results in analytic number theory. Friedlander’s paper contains some recent achievements of sieve theory leading to asymptotic formulae for the number of primes represented by suitable polynomials. Heath-Brown's lecture notes mainly deal with counting integer solutions to Diophantine equations, using among other tools several results from algebraic geometry and from the geometry of numbers. Iwaniec’s paper gives a broad picture of the theory of Siegel’s zeros and of exceptional characters of L-functions, and gives a new proof of Linnik’s theorem on the least prime in an arithmetic progression. Kaczorowski’s article presents an up-to-date survey of the axiomatic theory of L-functions introduced by Selberg, with a detailed exposition of several recent results.
650		0	_aNumber theory.
650		0	_aGeometry, algebraic.
650	1	4	_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001
650	2	4	_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019
700	1		_aHeath-Brown, D. R. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aIwaniec, H. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aKaczorowski, J. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aPerelli, Alberto. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt
700	1		_aViola, Carlo. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540826699
776	0	8	_iPrinted edition: _z9783540363637
830		0	_aC.I.M.E. Foundation Subseries ; _v1891
856	4	0	_uhttps://doi.org/10.1007/3-540-36363-7
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c11142 _d11142