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Author: Joseph Lehner
Publisher: Courier Corporation
Published: 2015-01-21
Total Pages: 162
ISBN-13: 0486789748
DOWNLOAD EBOOKConcise treatment covers basics of Fuchsian groups, development of Poincaré series and automorphic forms, and the connection between theory of Riemann surfaces with theories of automorphic forms and discontinuous groups. 1966 edition.
Author: Anton Deitmar
Publisher: Springer Science & Business Media
Published: 2012-08-29
Total Pages: 255
ISBN-13: 144714435X
DOWNLOAD EBOOKAutomorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem. This text provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point of view of adeles and representation theory. The reader will learn the important aims and results of the theory by focussing on its essential aspects and restricting it to the 'base field' of rational numbers. Students interested for example in arithmetic geometry or number theory will find that this book provides an optimal and easily accessible introduction into this topic.
Author: Gareth A. Jones
Publisher: Cambridge University Press
Published: 1987-03-19
Total Pages: 362
ISBN-13: 9780521313667
DOWNLOAD EBOOKAn elementary account of many aspects of classical complex function theory, including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. The book is based on lectures given to advanced undergraduate students and is well suited as a textbook for a second course in complex function theory.
Author: Joseph Lehner
Publisher:
Published: 1969
Total Pages: 88
ISBN-13:
DOWNLOAD EBOOKAuthor: J. A. John
Publisher:
Published: 1968
Total Pages: 272
ISBN-13:
DOWNLOAD EBOOKAuthor: Joseph Lehner
Publisher: Courier Dover Publications
Published: 2017-05-17
Total Pages: 99
ISBN-13: 0486812421
DOWNLOAD EBOOKConcise book offers expository account of theory of modular forms and its application to number theory and analysis. Substantial notes at the end of each chapter amplify the more difficult subjects. 1969 edition.
Author: W. E. Kirwan
Publisher: Springer
Published: 2006-11-14
Total Pages: 215
ISBN-13: 3540380884
DOWNLOAD EBOOKAuthor: J. P. Serre
Publisher: Springer
Published: 2006-11-15
Total Pages: 294
ISBN-13: 3540372911
DOWNLOAD EBOOKThe proceedings of the conference are being published in two parts, and the present volume is mostly algebraic (congruence properties of modular forms, modular curves and their rational points, etc.), whereas the second volume will be more analytic and also include some papers on modular forms in several variables.
Author: H. M. Farkas
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 348
ISBN-13: 1468499300
DOWNLOAD EBOOKThe present volume is the culmination often years' work separately and joint ly. The idea of writing this book began with a set of notes for a course given by one of the authors in 1970-1971 at the Hebrew University. The notes were refined serveral times and used as the basic content of courses given sub sequently by each of the authors at the State University of New York at Stony Brook and the Hebrew University. In this book we present the theory of Riemann surfaces and its many dif ferent facets. We begin from the most elementary aspects and try to bring the reader up to the frontier of present-day research. We treat both open and closed surfaces in this book, but our main emphasis is on the compact case. In fact, Chapters III, V, VI, and VII deal exclusively with compact surfaces. Chapters I and II are preparatory, and Chapter IV deals with uniformization. All works on Riemann surfaces go back to the fundamental results of Rie mann, Jacobi, Abel, Weierstrass, etc. Our book is no exception. In addition to our debt to these mathematicians of a previous era, the present work has been influenced by many contemporary mathematicians.
Author: Bruce C. Berndt
Publisher: World Scientific
Published: 2007
Total Pages: 150
ISBN-13: 9812792376
DOWNLOAD EBOOK1. Introduction -- 2. The main correspondence theorem -- 3. A fundamental region -- 4. The case [symbol]> 2 -- 5. The case [symbol]
