TAILIEUCHUNG - Introductory lectures on Siegel modular forms

The theory of automorphic functions in one complex variable was created during the second half of the nineteenth and the beginning of the twentieth centuries. Important contributions are due to such illustrious mathematicians as F. Klein, P. Koebe and H. Poincare. Two sources may be traced: the uniformization theory of algebraic functions, and certain topics in number theory. Automorphic functions with respect to groups with compact quotient space on the one hand and elliptic modular functions on the other are examples of these two aspects. In several complex variables there is no analogue of uniformization theory; the class of automorphic functions which can be considered becomes much narrower, and. | CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 20 Editorial Board . Garling D. Gorenstein T. tom Dieck p. Walters Introductory lectures on Siegel modular forms Already published 1 . Holcombe Algebraic automata theory 2 K. Petersen Ergodic theory 3 . Johnstone Stone spaces 4 . Schikhof Ultrametric calculus 5 J-P. Kahane Some random series of functions second edition 6 H. Cohn Introduction to the construction of ciass fields 7 J. Lambek . Scott Introduction to higher-order categorical logic 8 H. Matsumura Commutative ring theory 9 . Thomas Characteristic classes and the cohomology of finite groups 10 M. Aschbacher Finite group theory 11 . Alperin Local representation theory 12 p. Koosis The logarithmic integral 1 13 A. Pietsch Eigenvalues and s-numbers 14 . Patterson Introduction to the theory of the Riemann zeta-function 15 H-J. Baues Algebraic homotopy 16 . Varadarajan Introduction to harmonic analysis on semisimple Lie groups 17 w. Dicks . Dunwoody Groups acting on graphs 18 L J. Corwin F. p. Greenleaf Representations of nilpotent Lie groups and their applications 20 H. Klingen Introduction to modular functions 22 M. Collins Representations and characters of finite groups Introductory lectures on Siegel modular forms HELMUT KLINGEN Professor of Mathematics University of Freiburg Thi right of the University of Cambridge Io print and sell all manner of books was granted by Henry VIII in 1534. The University has printed and published continuously since 1584. CAMBRIDGE UNIVERSITY PRESS Cambridge New York Port Chester Melbourne .

• Kỹ thuật lập trình
• Large weights
• The modular group
• Dirichlet series
• Pseudoconcavity
• The symplectic group
• Modular functions