Delving into the theory of generalized functions, the text illuminates their role in analysis, partial differential equations, stochastic processes, and representation theory. It probes representations of the general linear group over p-adic fields,...Loe edasi...
Delve into the intricacies of societal phenomena such as meme diffusion, urban gentrification, and voter dynamics while examining how individual interactions shape collective behavior. This collection intertwines mathematical modeling, data analysis...Loe edasi...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Loe edasi...
The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality que...Loe edasi...
The method can be viewed as an extension of the work of Godement-Jacquet (1972) for the standard L-function of GLn and is expected to work for all classical groups. We will consider the Archimedean local theory and the global theory in our future wo...Loe edasi...
Nicolas Bergeron, Pierre Charollois, Luis E. Garcia
Sari: CRM Monograph Series
(Ilmumisaeg: 30-Nov-2023, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470474119)
Ce livre constitue un expose detaille de la serie de cours donnes en 2020 par le Prof. Nicolas Bergeron, titulaire de la Chaire Aisenstadt au CRM de Montreal. Lobjet de ce texte est une ample generalisation dune famille didentites classiques, not...Loe edasi...
We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spac...Loe edasi...
Building on the developments of many people including Evans, Greene, Katz, McCarthy, Ono, Roberts, and Rodriguez-Villegas, we consider period functions for hypergeometric type algebraic varieties over finite fields and consequently study hypergeomet...Loe edasi...
In this article, we give explicit formulas of archimedean Whittaker functions on GL(3) and GL(2). Moreover, we apply those to the calculation of archimedean zeta integrals for GL(3) x GL(2), and show that the zeta integral for appropriate Whittaker...Loe edasi...
Generalizing the classical theorems of Max Noether and Petri, we describe generators and relations for the canonical ring of a stacky curve, including an explicit Grobner basis. We work in a general algebro-geometric context and treat log canonical...Loe edasi...
The 2016 meeting of the biennial mathematics school was in Sarajevo, Bosnia and Herzegovina, and the 29 lectures consider such aspects of automorphic forms as noncommutative modular symbols and Eisenstein series, an algebraic and analytic approac...Loe edasi...
After a remembrance of Momose and an overview of his mathematical work, 11 papers explore the arithmetic of modular curves and abelian varieties, along with related areas of mathematics that interested him. Among the topics are quadratic points o...Loe edasi...
Kathrin Bringmann, Amanda Folsom, Ken Ono, Larry Rolen
Sari: Colloquium Publications
(Ilmumisaeg: 30-Dec-2017, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9781470419448)
The 21 papers in this collection consider harmonic Maass forms and mock modular forms, the background to them, and their applications. The topics include theta functions and holomorphic Jacobi forms, classical Maass forms, differential operators...Loe edasi...
Some of the 17 papers in this collection are not based on presentations at the workshop, which was held in Vienna during October 2013, but all relate to Cogdells work. Among the topics are the local transfer and reducibility of induced representatio...Loe edasi...
Editors A. C. Cojocaru, C. David, and F. Pappalardi present readers with a text highlighting presentations at a conference given in honor of the sixtieth birthday of mathematician M. Ram Murty in Montral, Canada in October of 2013. The selections...Loe edasi...
Presents in full detail the proof of Fermats Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole picture of the proof to appreciate one of the greatest achievements in the history of mathematics. C...Loe edasi...
The conference was called to summarize and consolidate the work of Piatetski-Shapiro (d. 2009) and his co-workers on the theory of automorphic forms, and to promote future work by identifying fruitful directions of further investigation. The overall...Loe edasi...
In the margins of a book, Pierre de Fermat (1601-65) claimed that he had a mathematical proof that was too large to fit the margin, but it was not until 1994 that other mathematicians proved what had become known as Fermats Last Theorem. Saito (math...Loe edasi...
(Ilmumisaeg: 30-Oct-2013, Hardback, Kirjastus: American Mathematical Society, ISBN-13: 9780821849903)
Arthur classifies the automorphic representations of special orthogonal and symplective groups in G in terms of those of GL(N). His main tool is the stable trace formula for G, which until recently was conditional on the fundamental lemma, which has...Loe edasi...
