Automorphic Forms on GL (2)
Author: H. Jacquet
Publisher: Springer
Published: 2006-11-15
Total Pages: 156
ISBN-13: 3540376127
DOWNLOAD EBOOKRead and Download eBook Full
Author: H. Jacquet
Publisher: Springer
Published: 2006-11-15
Total Pages: 156
ISBN-13: 3540376127
DOWNLOAD EBOOKAuthor: Hervé Jacquet
Publisher:
Published: 1970
Total Pages: 548
ISBN-13:
DOWNLOAD EBOOKAuthor: D. Bump
Publisher: Springer
Published: 2006-12-08
Total Pages: 196
ISBN-13: 3540390553
DOWNLOAD EBOOKAuthor: Armand Borel
Publisher: American Mathematical Soc.
Published: 1979-06-30
Total Pages: 394
ISBN-13: 0821814370
DOWNLOAD EBOOKPart 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
Author: Dorian Goldfeld
Publisher: Cambridge University Press
Published: 2006-08-03
Total Pages: 65
ISBN-13: 1139456202
DOWNLOAD EBOOKL-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This 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.
Author: Fred Diamond
Publisher: Cambridge University Press
Published: 2014-10-16
Total Pages: 385
ISBN-13: 1316062333
DOWNLOAD EBOOKAutomorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to explore recent developments in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and representation theory, as well as recent progress on topics from anabelian geometry to p-adic Hodge theory and the Langlands program. The topics covered in volume one include the Shafarevich Conjecture, effective local Langlands correspondence, p-adic L-functions, the fundamental lemma, and other topics of contemporary interest.
Author: H. Jacquet
Publisher:
Published: 2014-09-01
Total Pages: 164
ISBN-13: 9783662205877
DOWNLOAD EBOOKAuthor: H. Jacquet
Publisher: Springer
Published: 2006-11-15
Total Pages: 560
ISBN-13: 3540362347
DOWNLOAD EBOOKAuthor: Henryk Iwaniec
Publisher: American Mathematical Society, Revista Matemática Iberoamericana (RMI), Madrid, Spain
Published: 2021-11-17
Total Pages: 220
ISBN-13: 1470466228
DOWNLOAD EBOOKAutomorphic forms are one of the central topics of analytic number theory. In fact, they sit at the confluence of analysis, algebra, geometry, and number theory. In this book, Henryk Iwaniec once again displays his penetrating insight, powerful analytic techniques, and lucid writing style. The first edition of this book was an underground classic, both as a textbook and as a respected source for results, ideas, and references. Iwaniec treats the spectral theory of automorphic forms as the study of the space of $L^2$ functions on the upper half plane modulo a discrete subgroup. Key topics include Eisenstein series, estimates of Fourier coefficients, Kloosterman sums, the Selberg trace formula and the theory of small eigenvalues. Henryk Iwaniec was awarded the 2002 Cole Prize for his fundamental contributions to number theory.