{"product_id":"9783540550211","title":"Lecture Notes in Mathematics: Based on Lectures by James Arthur","description":"\u003ch1\u003eLecture Notes in Mathematics: Based on Lectures by James Arthur\u003c\/h1\u003e \u003ch2\u003eShokranian, Salahoddin\u003c\/h2\u003e \u003cp\u003eThis book based on lectures given by James Arthur discusses\nthe trace       formula of Selberg and Arthur. The emphasis is\nlaid on Arthur's trace       formula for GL(r), with several\nexamples in order to illustrate the basic   concepts. The book\nwill be useful and stimulating reading for graduate      students\nin automorphic forms, analytic number theory,                      and\nnon-commutative harmonic analysis, as well as researchers in\nthese  fields. Contents:\nI. Number Theory and Automorphic Representations.1.1.     Some\nproblems in classical number theory, 1.2. Modular forms                and\nautomorphic representations; II. Selberg's Trace Formula\n2.1.       Historical Remarks, 2.2. Orbital integrals and\nSelberg's trace formula, 2.3.Three examples, 2.4. A\nnecessary condition, 2.5. Generalizations and        applications;\nIII. Kernel Functions and the Convergence Theorem,            3.1.\nPreliminaries on GL(r), 3.2. Combinatorics and reduction\ntheory,   3.3. The convergence theorem; IV. The Ad lic Theory,\n4.1. Basic facts; V.   The Geometric Theory, 5.1. The JTO(f)\nand JT(f) distributions, 5.2. A       geometric I-function, 5.3.\nThe weight functions; VI. The Geometric Expansionof the\nTrace Formula, 6.1. Weighted orbital integrals, 6.2.                 The\nunipotent distribution; VII. The Spectral Theory, 7.1. A\nreview of  the Eisenstein series, 7.2. Cusp forms,\ntruncation, the trace formula; VIII.The Invariant Trace\nFormula and its Applications, 8.1. The invariant        trace\nformula for GL(r), 8.2. Applications and remarks\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1992-02-12\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540550211\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/BFb0092305\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 99\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369787318412,"sku":"9783540550211","price":35.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540550211.jpg?v=1772802887","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540550211","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}