Geometric And Analytic Number Theory

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Geometric And Analytic Number Theory

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Author : Edmund Hlawka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometric And Analytic Number Theory written by Edmund Hlawka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In the English edition, the chapter on the Geometry of Numbers has been enlarged to include the important findings of H. Lenstraj furthermore, tried and tested examples and exercises have been included. The translator, Prof. Charles Thomas, has solved the difficult problem of the German text into English in an admirable way. He deserves transferring our 'Unreserved praise and special thailks. Finally, we would like to express our gratitude to Springer-Verlag, for their commitment to the publication of this English edition, and for the special care taken in its production. Vienna, March 1991 E. Hlawka J. SchoiBengeier R. Taschner Preface to the German Edition We have set ourselves two aims with the present book on number theory. On the one hand for a reader who has studied elementary number theory, and who has knowledge of analytic geometry, differential and integral calculus, together with the elements of complex variable theory, we wish to introduce basic results from the areas of the geometry of numbers, diophantine ap proximation, prime number theory, and the asymptotic calculation of number theoretic functions. However on the other hand for the student who has al ready studied analytic number theory, we also present results and principles of proof, which until now have barely if at all appeared in text books.

Number Theory Analysis And Geometry

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Author : Dorian Goldfeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-20

Number Theory Analysis And Geometry written by Dorian Goldfeld and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-20 with Mathematics categories.

In honor of Serge Lang’s vast contribution to mathematics, this memorial volume presents articles by prominent mathematicians. Reflecting the breadth of Lang's own interests and accomplishments, these essays span the field of Number Theory, Analysis and Geometry.

Geometric And Analytic Number Theory

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Author : Edmund Hlawka
language : en
Publisher:
Release Date : 1991-08-02

Geometric And Analytic Number Theory written by Edmund Hlawka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-08-02 with categories.

Riemannian Geometry And Geometric Analysis

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Author : Jürgen Jost
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Riemannian Geometry And Geometric Analysis written by Jürgen Jost and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.

From the reviews: "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. It is a good introduction to Riemannian geometry. The book is made more interesting by the perspectives in various sections. where the author mentions the history and development of the material and provides the reader with references." Math. Reviews. The 2nd ed. includes new material on Ginzburg-Landau, Seibert-Witten functionals, spin geometry, Dirac operators.

Algebraic K Theory Number Theory Geometry And Analysis

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Author : Anthony Bak
language : en
Publisher: Springer
Release Date : 1984-02

Algebraic K Theory Number Theory Geometry And Analysis written by Anthony Bak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-02 with Mathematics categories.

Algebraic Geometry And Number Theory

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Author : Hussein Mourtada
language : en
Publisher: Birkhäuser
Release Date : 2017-05-07

Algebraic Geometry And Number Theory written by Hussein Mourtada and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-07 with Mathematics categories.

This lecture notes volume presents significant contributions from the “Algebraic Geometry and Number Theory” Summer School, held at Galatasaray University, Istanbul, June 2-13, 2014. It addresses subjects ranging from Arakelov geometry and Iwasawa theory to classical projective geometry, birational geometry and equivariant cohomology. Its main aim is to introduce these contemporary research topics to graduate students who plan to specialize in the area of algebraic geometry and/or number theory. All contributions combine main concepts and techniques with motivating examples and illustrative problems for the covered subjects. Naturally, the book will also be of interest to researchers working in algebraic geometry, number theory and related fields.

Arithmetic Geometry And Number Theory

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Author : Lin Weng
language : en
Publisher: World Scientific
Release Date : 2006-06-02

Arithmetic Geometry And Number Theory written by Lin Weng and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-02 with Mathematics categories.

Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations.More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on local gamma factors in automorphic representations; of Weng on Deligne pairings and Takhtajan-Zograf metrics; of Yoshida on CM-periods; of Yu on transcendence of special values of zetas over finite fields. In addition, the lecture notes presented by Weng at the University of Toronto from October to November 2005 explain basic ideas and the reasons (not just the language and conclusions) behind Langlands' fundamental, yet notably difficult, works on the Eisenstein series and spectral decompositions.And finally, a brand new concept by Weng called the Geometric Arithmetic program that uses algebraic and/or analytic methods, based on geometric considerations, to develop the promising and yet to be cultivated land of global arithmetic that includes non-abelian Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L Functions, etc.

Categories And Representation Theory

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Author : Hideto Asashiba
language : en
Publisher: American Mathematical Society
Release Date : 2022-09-29

Categories And Representation Theory written by Hideto Asashiba and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-29 with Mathematics categories.

This book gives a self-contained account of applications of category theory to the theory of representations of algebras. Its main focus is on 2-categorical techniques, including 2-categorical covering theory. The book has few prerequisites beyond linear algebra and elementary ring theory, but familiarity with the basics of representations of quivers and of category theory will be helpful. In addition to providing an introduction to category theory, the book develops useful tools such as quivers, adjoints, string diagrams, and tensor products over a small category; gives an exposition of new advances such as a 2-categorical generalization of Cohen-Montgomery duality in pseudo-actions of a group; and develops the moderation level of categories, first proposed by Levy, to avoid the set theoretic paradox in category theory. The book is accessible to advanced undergraduate and graduate students who would like to study the representation theory of algebras, and it contains many exercises. It can be used as the textbook for an introductory course on the category theoretic approach with an emphasis on 2-categories, and as a reference for researchers in algebra interested in derived equivalences and covering theory.

Representation Theory Of Geigle Lenzing Complete Intersections

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Author : Martin Herschend
language : en
Publisher: American Mathematical Society
Release Date : 2023-05-23

Representation Theory Of Geigle Lenzing Complete Intersections written by Martin Herschend and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-23 with Mathematics categories.

View the abstract. https://www.ams.org/bookstore/pspdf/memo-285-1412-abstract.pdf?

Empirical Measures Geodesic Lengths And A Variational Formula In First Passage Percolation

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Author : Erik Bates
language : en
Publisher: American Mathematical Society
Release Date : 2024-02-01

Empirical Measures Geodesic Lengths And A Variational Formula In First Passage Percolation written by Erik Bates and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-01 with Mathematics categories.

View the abstract.