{"title":"James Arthur","description":"\u003cp\u003eWelcome to our collection dedicated to the distinguished author \u003cstrong\u003eJames Arthur\u003c\/strong\u003e, whose contributions to the realms of mathematics and science have enlightened readers worldwide. Renowned for his deep insights and comprehensive exploration of complex topics, Arthur's works are a treasure trove for those passionate about science and mathematics.\u003c\/p\u003e\n\n\u003cp\u003eIncluded in this collection are pivotal titles such as \u003cem\u003eSimple Algebras\u003c\/em\u003e, where Arthur deftly unravels intricate algebraic concepts, making them accessible to both novice and seasoned mathematicians alike. In \u003cem\u003eBase Change\u003c\/em\u003e, Arthur explores the nuances of mathematical transformations, providing readers with a profound understanding of this fundamental concept.\u003c\/p\u003e\n\n\u003cp\u003eOne of the highlights of this selection is \u003cem\u003eThe Advanced Theory of the Trace Formula\u003c\/em\u003e, a detailed examination of the trace formula's myriad applications in theoretical mathematics. With a reputation for clarity and precision, James Arthur's writings are invaluable resources for researchers, students, and enthusiasts seeking to deepen their understanding of mathematics.\u003c\/p\u003e\n\n\u003cp\u003eDive into James Arthur's collection and discover a world of scientific and mathematical mastery that will both challenge and inspire your intellectual pursuits.\u003c\/p\u003e","products":[{"product_id":"simple-algebras-base-change-and-the-advanced-theory-of-the-trace-formula-by-james-arthur-9780691085180","title":"Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula","description":"\u003cdiv class=\"book-description\"\u003e\n\u003cp\u003eA general principle, discovered by Robert Langlands and named by him the \"functoriality principle,\" predicts relations between automorphic forms on arithmetic subgroups of different reductive groups. Langlands functoriality relates the eigenvalues of Hecke operators acting on the automorphic forms on two groups (or the local factors of the \"automorphic representations\" generated by them). In the few instances where such relations have been probed, they have led to deep arithmetic consequences.\u003c\/p\u003e\n\n\u003cp\u003e\u003cem\u003eSimple Algebras, Base Change, and the Advanced Theory of the Trace Formula\u003c\/em\u003e studies one of the simplest general problems in the theory—that of relating automorphic forms on arithmetic subgroups of GL(n,E) and GL(n,F) when E\/F is a cyclic extension of number fields. This is known as the base change problem for GL(n). The problem is attacked and solved by means of the trace formula.\u003c\/p\u003e\n\n\u003cp\u003eThe book relies on deep and technical results obtained by several authors during the last twenty years. It could not serve as an introduction to them, but, by giving complete references to the published literature, the authors have made the work useful to a reader who does not know all the aspects of the theory of automorphic forms.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"NewSouth Books","offers":[{"title":"Default Title","offer_id":46854830915820,"sku":"9780691085180","price":182.0,"currency_code":"NZD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0705\/7784\/8556\/files\/1a123ccf153afb0340ffae533133dfed.jpg?v=1759264247"}],"url":"https:\/\/bookhero.co.nz\/collections\/james-arthur.oembed","provider":"Book Hero","version":"1.0","type":"link"}