viii, 188 pp., Paperback, spine faded, previous owner's name to verso of front cover else very good. *Buyer is responsible for any additional duties, taxes, or fees required by recipient's country* - If you are reading this, this item is actually (physically) in our stock and ready ...
Zeta Functions of Simple Algebras Book © 1972 Overview Authors: Roger Godement , Hervé Jacquet Part of the book series: Lecture Notes in Mathematics (LNM, volume 260) 3535 Accesses 3 Altmetric This is a preview of subscription content, log in via an institution to check access. ...
Godement, R., Jacquet, H.: Zeta functions of simple algebras. Springer Lecture Notes 260 (1972) Harish-Chandra: Automorphic forms on Semi-Simple Lie Groups. Springer Lecture Notes 62 (1968) Jacquet, H.: Automorphic forms onGL(2). II. Springer Lecture Notes 278 (1972) Jacquet, H., Pyate...
The plot above shows the real and imaginary parts of (i.e., values of along the critical line) as is varied from 0 to 35 (Derbyshire 2004, p. 221). The Riemann zeta function can be split up into (27) where and are the Riemann-Siegel functions. The Riemann zeta function is ...
class of finite groups with prescribed composition factors. We prove that every real numbera \ge 1is the Weil abscissaa(G) of some profinite groupG. In addition, we show that the Euler factors of\zeta _Gare rational functions inp^{-s}ifGis virtually abelian. For finite groupsGwe calculate...
Unlike in the cases of two step operators (even in the elliptic situation and similarly to what was said about the sub-Laplacians), there are not so many concrete results known such as an explicit expression of the heat kernel or of the fundamental solution in terms of special functions (...
L-Functions of Elliptic Curves Modulo Integers 49:33 The Bootstrap Learning Algorithm 20:49 A logarithmic improvement in the Bombieri-Vinogradov theorem 01:00:48 A Reintroduction to Proofs 01:00:18 Ratner_Masur equidistribution by orbit matching 52:22 Optimal transport in statistics and Pitm...
Let D-p be a central simple Q(p)-division algebra of index 2, with maximal Z(p)-order Delta(p). We give an explicit formula for the number of subalgebras of any given finite index in the Z(p) Lie algebra L := sl(1) (Delta(p)). From this we obtain a closed formula for th...
graphs and, using the machinery of operator algebras, we prove a determinant formula, which relates the zeta function with the Laplacian of the graph. We also prove functional equations, and a formula which allows approximation of the zeta function by the zeta functions of finite subgraphs. 0...
As particular cases of our result, we can cite the case of V=M(n, R) studied by Gelbart [Mem. Amer. Math. Soc. 108 (1971)] and Godement and Jacquet [Zeta functions of simple algebras, Lecture Notes in Math., vol. 260, Springer-Verlag, Berlin, 1972], and the case of V= Herm...