On Artin's Conjecture for Odd 2-Dimensional Representations
Author: Gerhard Frey
Publisher:
Published: 2014-01-15
Total Pages: 164
ISBN-13: 9783662182352
DOWNLOAD EBOOK →Lanterna Rally
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On Artin's Conjecture for Odd 2-dimensional Representations
Author: Gerhard Frey
Publisher: Springer
Published: 2006-11-15
Total Pages: 160
ISBN-13: 354048681X
DOWNLOAD EBOOK →The main topic of the volume is to develop efficient algorithms by which one can verify Artin's conjecture for odd two-dimensional representations in a fairly wide range. To do this, one has to determine the number of all representations with given Artin conductor and determinant and to compute the dimension of a corresponding space of cusp forms of weight 1 which is done by exploiting the explicit knowledge of the operation of Hecke operators on modular symbols. It is hoped that the algorithms developed in the volume can be of use for many other problems related to modular forms.
Analysis
Author: Mats Gyllenberg
Publisher: CRC Press
Published: 1994-04-19
Total Pages: 430
ISBN-13: 9780824792176
DOWNLOAD EBOOK →"Presenting the proceedings of the twenty-first Nordic Congress of Mathematicians at Lulearing; University of Technology, Sweden, this outstanding reference discusses recent advances in analysis, algebra, stochastic processes, and the use of computers in mathematical research."
Real Enriques Surfaces
Author: Alexander Degtyarev
Publisher: Springer Science & Business Media
Published: 2000-10-26
Total Pages: 284
ISBN-13: 9783540410881
DOWNLOAD EBOOK →Deformation classes. p. 89.
The Minnesota Notes on Jordan Algebras and Their Applications
Author: Max Koecher
Publisher: Springer Science & Business Media
Published: 1999-09-17
Total Pages: 198
ISBN-13: 9783540663607
DOWNLOAD EBOOK →This volume contains a re-edition of Max Koecher's famous Minnesota Notes. The main objects are homogeneous, but not necessarily convex, cones. They are described in terms of Jordan algebras. The central point is a correspondence between semisimple real Jordan algebras and so-called omega-domains. This leads to a construction of half-spaces which give an essential part of all bounded symmetric domains. The theory is presented in a concise manner, with only elementary prerequisites. The editors have added notes on each chapter containing an account of the relevant developments of the theory since these notes were first written.
The Red Book of Varieties and Schemes
Author: David Mumford
Publisher: Springer
Published: 2004-02-21
Total Pages: 316
ISBN-13: 3540460217
DOWNLOAD EBOOK →Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.
Arithmetic Geometry, Number Theory, and Computation
Author: Jennifer S. Balakrishnan
Publisher: Springer Nature
Published: 2022-03-15
Total Pages: 587
ISBN-13: 3030809145
DOWNLOAD EBOOK →This volume contains articles related to the work of the Simons Collaboration “Arithmetic Geometry, Number Theory, and Computation.” The papers present mathematical results and algorithms necessary for the development of large-scale databases like the L-functions and Modular Forms Database (LMFDB). The authors aim to develop systematic tools for analyzing Diophantine properties of curves, surfaces, and abelian varieties over number fields and finite fields. The articles also explore examples important for future research. Specific topics include● algebraic varieties over finite fields● the Chabauty-Coleman method● modular forms● rational points on curves of small genus● S-unit equations and integral points.
Loeb Measures in Practice: Recent Advances
Author: Nigel J. Cutland
Publisher: Springer
Published: 2004-10-11
Total Pages: 118
ISBN-13: 3540445315
DOWNLOAD EBOOK →This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA. Subsequent chapters sketch a range of recent applications of Loeb measures due to the author and his collaborators, in such diverse fields as (stochastic) fluid mechanics, stochastic calculus of variations ("Malliavin" calculus) and the mathematical finance theory. The exposition is designed for a general audience, and no previous knowledge of either NSA or the various fields of applications is assumed.
Automorphic Forms and L-Functions for the Group GL(n,R)
Author: Dorian Goldfeld
Publisher: Cambridge University Press
Published: 2006-08-03
Total Pages: 65
ISBN-13: 1139456202
DOWNLOAD EBOOK →L-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.
Geometric Aspects of Functional Analysis
Author: V.D. Milman
Publisher: Springer
Published: 2007-05-09
Total Pages: 296
ISBN-13: 354045392X
DOWNLOAD EBOOK →This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Geometric Functional Analysis, but also reflects on some of the recent new trends in Banach Space Theory and related topics. These include the tighter connection with convexity and the resulting added emphasis on convex bodies that are not necessarily centrally symmetric, and the treatment of bodies which have only very weak convex-like structure. Another topic represented here is the use of new probabilistic tools; in particular transportation of measure methods and new inequalities emerging from Poincaré-like inequalities.
