000			02198nam a22003738a 4500
001			CR9780511526107
003			UkCbUP
005			20160624102301.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090406s1980||||enk s ||1 0|eng|d
020			_a9780511526107 (ebook)
020			_z9780521280600 (paperback)
040			_aUkCbUP _cUkCbUP _erda
050	0	0	_aQA241 _b.K673
082	0	0	_a512/.74 _219
100	1		_aKoblitz, Neal, _eauthor.
245	1	0	_aP-adic Analysis : _bA Short Course on Recent Work / _cNeal Koblitz.
260		1	_aCambridge : _bCambridge University Press, _c1980.
264		1	_aCambridge : _bCambridge University Press, _c1980.
300			_a1 online resource (168 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	0		_aLondon Mathematical Society Lecture Note Series ; _vno. 46
500			_aTitle from publisher's bibliographic system (viewed on 16 Oct 2015).
520			_aThis introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat and Artin-Schreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research.
650		0	_ap-adic analysis
776	0	8	_iPrint version: _z9780521280600
786			_dCambridge
830		0	_aLondon Mathematical Society Lecture Note Series ; _vno. 46.
856	4	0	_uhttp://dx.doi.org/10.1017/CBO9780511526107
942			_2EBK12226 _cEBK
999			_c41520 _d41520