Lectures on Riemann Matrices
by C.L. Siegel
Publisher: Tata Institute of Fundamental Research 1963
ISBN/ASIN: B000OK34HM
Number of pages: 101
Description:
In this course of lectures, we shall be concerned with a systematic study of Riemann matrices which arise in a natural way from the theory of abelian functions. Contents: Abelian Functions; Commutator-algebra of a R-matrix; Division algebras over Q with a positive involution; Cyclic algebras; Division algebras over Q; Positive involutions of the second kind in division algebras; Existence of R-matrices with given commutator-algebra; Modular groups associated with Riemann matrices.
Download or read it online for free here:
Download link
(600KB, PDF)
Similar books
Hyperbolic Functionsby James McMahon - John Wiley & Sons
College students who wish to know something of the hyperbolic trigonometry, will find it presented in a simple and comprehensive way in the first half of the work. Readers are then introduced to the more general trigonometry of the complex plane.
(13771 views)
Methods for Finding Zeros in Polynomialsby Leif Mejlbro - BookBoon
Polynomials are the first class of functions that the student meets. Therefore, one may think that they are easy to handle. They are not in general! Topics as e.g. finding roots in a polynomial and the winding number are illustrated.
(10747 views)
Elliptic Functions and Elliptic Curvesby Jan Nekovar - Institut de Mathematiques de Jussieu
Contents: Introduction; Abel's Method; A Crash Course on Riemann Surfaces; Cubic curves; Elliptic functions; Theta functions; Construction of elliptic functions; Lemniscatology or Complex Multiplication by Z[i]; Group law on smooth cubic curves.
(8889 views)
Lectures On The General Theory Of Integral Functionsby Georges Valiron - Chelsea Pub. Co.
These lectures give us, in the form of a number of elegant and illuminating theorems, the latest word of mathematical science on the subject of Integral Functions. They descend to details, they take us into the workshop of the working mathematician.
(7353 views)