Zeta Functions of Simple Algebras - Godement, Jacquet - 1972 () Citation Context ... some care must be taken with the definitions [7]. One can attach to an automorphic representation π of GL(n,A) an L-function L(s, π) that will have an analytic continuation and a functional ...
Roger Godement, Hervé Jacquet Pages 136-184 Back Matter Pages 185-190 Download chapterPDF Back to top Bibliographic Information Book TitleZeta Functions of Simple Algebras AuthorsRoger Godement, Hervé Jacquet Series TitleLecture Notes in Mathematics ...
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...
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...
The results are extended to the $p$-power congruence subalgebras of $\mathcal{L}$, and as an application we obtain the zeta functions of the corresponding congruence subgroups of the uniform pro-$p$ group $\SL_1^2(\Delta_p)$. 展开 ...
To any Nash germ invariant under right composition with a linear action of a finite group, we associate its equivariant zeta functions, inspired from motivic zeta functions, using the equivariant virtual Poincaré series as a motivic measure. We show Denef-Loeser formulae for the equivariant zeta...
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. Introduction The Ihara zeta function, originally associated to certain groups and then combi- natorially reinterpreted as associated with ...
Zeta functions for Abelian characters of simple algebrasMany new inequalities involving the Riemann zeta function are presented.doi:10.1016/0001-8708(73)90121-7Lawrence CorwinElsevier Inc.Advances in Mathematics
G. Fujisaki, On the zeta function of the simple algebra over the field of rational numbers, J. Fac. Sci. Univ: Tokyo. Sect. 17 (1958), 567–604. R. Godement and H. Jacquet, Zeta functions of simple algebras, Lecture Notes in Math. nO 260, Springer, Berlin, 1972. S. Gelbart, ...
(1972) Zeta Functions of Simple Algebras. Springer, BerlinGodement, R., Jacquet, H.: Zeta functions of simple algebras. Springer Lecture Notes 260 (1972)R. Godement and H. Jacquet , Zeta functions of simple algebras . Lecture Notes in Mathematics, Vol. 260. Springer-Verlag, Berlin-New ...