000 02755nam a22003858i 4500
001 CR9780511542923
003 UkCbUP
005 20200124160225.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090505s2006||||enk o ||1 0|eng|d
020 _a9780511542923 (ebook)
020 _z9780521837712 (hardback)
020 _z9781107565029 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA246
_b.G65 2006
082 0 4 _a512.74
_222
100 1 _aGoldfeld, D.,
_eauthor.
245 1 0 _aAutomorphic forms and L-functions for the group GL(n, R) /
_cDorian Goldfeld ; with an appendix by Kevin A. Broughan.
246 3 _aAutomorphic Forms & L-Functions for the Group GL(n,R)
264 1 _aCambridge :
_bCambridge University Press,
_c2006.
300 _a1 online resource (xiii, 493 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v99
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _aDiscrete group actions -- Invariant differential operators -- Automorphic forms and L-functions for SL (2, Z) -- Existence for Maass forms -- Maass forms and Whittaker functions for SL (n, Z) -- Automorphic forms and L-functions for SL (3, Z) -- The Gelbart-Jacket lift -- Bounds for L-functions and Siegel zeros -- The Godement-Jacket L-function -- Langlands Eisenstein series -- Poincaré series and Kloosterman sums -- Rankin-Selberg convolutions -- Langlands conjectures.
520 _aL-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This 2006 book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.
650 0 _aL-functions.
650 0 _aAutomorphic forms.
776 0 8 _iPrint version:
_z9780521837712
830 0 _aCambridge studies in advanced mathematics ;
_v99.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511542923
999 _c517111
_d517109