Periods Of T Motives And Special Functions In Characteristic P PDF Download
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Author | : Samarendra Kumar Sinha |
Publisher | : |
Total Pages | : 332 |
Release | : 1995 |
Genre | : |
ISBN | : |
Download Periods of T-motives and Special Functions in Characteristic P Book in PDF, ePub and Kindle
Author | : Michel Waldschmidt |
Publisher | : American Mathematical Soc. |
Total Pages | : 410 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0821806068 |
Download Number Theory Book in PDF, ePub and Kindle
To observe the tenth anniversary of the founding of the Ramanujan Mathematical Society, an international conference on Discrete Mathematics and Number Theory was held in January 1996 in Tiruchirapalli, India. This volume contains proceedings from the number theory component of that conference. Papers are divided into four groups: arithmetic algebraic geometry, automorphic forms, elementary and analytic number theory, and transcendental number theory. This work deals with recent progress in current aspects of number theory and covers a wide variety of topics.
Author | : Gebhard Böckle |
Publisher | : Springer |
Total Pages | : 350 |
Release | : 2014-11-13 |
Genre | : Mathematics |
ISBN | : 3034808534 |
Download Arithmetic Geometry over Global Function Fields Book in PDF, ePub and Kindle
This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal with characteristic p global fields; the common theme around which they are centered is the arithmetic of L-functions (and other special functions), investigated in various aspects. Three courses examine some of the most important recent ideas in the positive characteristic theory discovered by Goss (a field in tumultuous development, which is seeing a number of spectacular advances): they cover respectively crystals over function fields (with a number of applications to L-functions of t-motives), gamma and zeta functions in characteristic p, and the binomial theorem. The other two are focused on topics closer to the classical theory of abelian varieties over number fields: they give respectively a thorough introduction to the arithmetic of Jacobians over function fields (including the current status of the BSD conjecture and its geometric analogues, and the construction of Mordell-Weil groups of high rank) and a state of the art survey of Geometric Iwasawa Theory explaining the recent proofs of various versions of the Main Conjecture, in the commutative and non-commutative settings.
Author | : Annette Huber |
Publisher | : Cambridge University Press |
Total Pages | : 266 |
Release | : 2022-05-26 |
Genre | : Mathematics |
ISBN | : 1009022717 |
Download Transcendence and Linear Relations of 1-Periods Book in PDF, ePub and Kindle
This exploration of the relation between periods and transcendental numbers brings Baker's theory of linear forms in logarithms into its most general framework, the theory of 1-motives. Written by leading experts in the field, it contains original results and finalises the theory of linear relations of 1-periods, answering long-standing questions in transcendence theory. It provides a complete exposition of the new theory for researchers, but also serves as an introduction to transcendence for graduate students and newcomers. It begins with foundational material, including a review of the theory of commutative algebraic groups and the analytic subgroup theorem as well as the basics of singular homology and de Rham cohomology. Part II addresses periods of 1-motives, linking back to classical examples like the transcendence of π, before the authors turn to periods of algebraic varieties in Part III. Finally, Part IV aims at a dimension formula for the space of periods of a 1-motive in terms of its data.
Author | : August Leopold Crelle |
Publisher | : |
Total Pages | : 750 |
Release | : 2002 |
Genre | : Electronic journals |
ISBN | : |
Download Journal für die reine und angewandte Mathematik Book in PDF, ePub and Kindle
Author | : Uwe Jannsen |
Publisher | : American Mathematical Soc. |
Total Pages | : 696 |
Release | : 1994-02-28 |
Genre | : Mathematics |
ISBN | : 9780821827994 |
Download Motives Book in PDF, ePub and Kindle
Motives were introduced in the mid-1960s by Grothendieck to explain the analogies among the various cohomology theories for algebraic varieties, to play the role of the missing rational cohomology, and to provide a blueprint for proving Weil's conjectures about the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areas--Hodge theory, algebraic $K$-theory, polylogarithms, automorphic forms, $L$-functions, $ell$-adic representations, trigonometric sums, and algebraic cycles--have discovered that an enlarged (and in part conjectural) theory of ``mixed'' motives indicates and explains phenomena appearing in each area. Thus the theory holds the potential of enriching and unifying these areas. These two volumes contain the revised texts of nearly all the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle, in 1991. A number of related works are also included, making for a total of forty-seven papers, from general introductions to specialized surveys to research papers.
Author | : David Goss |
Publisher | : Walter de Gruyter |
Total Pages | : 493 |
Release | : 2011-06-24 |
Genre | : Mathematics |
ISBN | : 3110886154 |
Download The Arithmetic of Function Fields Book in PDF, ePub and Kindle
Thisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Author | : Donald G. Babbitt |
Publisher | : American Mathematical Soc. |
Total Pages | : 762 |
Release | : 2000-05-05 |
Genre | : Mathematics |
ISBN | : 9780821896709 |
Download Featured Reviews in Mathematical Reviews 1997-1999 Book in PDF, ePub and Kindle
This second volume of Featured Reviews makes available special detailed reviews of some of the most important mathematical articles and books published from 1997 through 1999. Also included are excellent reviews of several classic books and articles published prior to 1970. Among those reviews, for example, are the following: Homological Algebra by Henri Cartan and Samuel Eilenberg, reviewed by G. Hochschild; Faisceaux algebriques coherents by Jean-Pierre Serre, reviewed by C. Chevalley; and On the Theory of General Partial Differential Operators by Lars Hormander, reviewed by J. L. Lions. In particular, those seeking information on current developments outside their own area of expertise will find the volume very useful. By identifying some of the best publications, papers, and books that have had or are expected to have a significant impact in applied and pure mathematics, this volume will serve as a comprehensive guide to important new research across all fields covered by MR.
Author | : |
Publisher | : |
Total Pages | : 924 |
Release | : 2007 |
Genre | : Dissertations, Academic |
ISBN | : |
Download Dissertation Abstracts International Book in PDF, ePub and Kindle
Author | : Rob de Jeu |
Publisher | : American Mathematical Soc. |
Total Pages | : 354 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0821844946 |
Download Motives and Algebraic Cycles Book in PDF, ePub and Kindle
Spencer J. Bloch has, and continues to have, a profound influence on the subject of Algebraic $K$-Theory, Cycles and Motives. This book, which is comprised of a number of independent research articles written by leading experts in the field, is dedicated in his honour, and gives a snapshot of the current and evolving nature of the subject. Some of the articles are written in an expository style, providing a perspective on the current state of the subject to those wishing to learn more about it. Others are more technical, representing new developments and making them especially interesting to researchers for keeping abreast of recent progress.