Colloquium Report

Members
Participants	.	.
Programme .
Message from the Prime Minister		.

PAPERS

CARL LUDWIG SIEGEL:	A generalization of the Epstein zeta-
	function	.	.	.	.

N.	G. TCHUDAKOFF: Theory of the characters of number
	semigroups	.	.	.

PAUL TURAN:	On the zeros of the zeta-function of
	Riemann	.

Y.	V. LINNIK: An application of the theory of matrices and of Lobatschevskian geometry to the theory of Dirichlet’s real
	characters	. .	.

A.	SELERG: Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to
	Dirichlet series	.			. .

M.	DEURING : The zeta-functions of algebraic curves and
	varieties	.	.	89

R.	A. RANKIN: The construction of automorphic forms from
	the derivatives of a given form	.	.

HANs MAASS : Spherical functions and quadratic forms 117 MARTIN EICHLER: Modular correspondences and their
	representations	.	.	.	.	163
CONTENTS

A.	G. POSTNIKOV: Generalization of one of the Hilbert
	problems	.	.	.	.	.	.	.

A.	G. POSTNIKOV On Dirichlet L-series with the character modulus equal to the power of a prime number .

K.	G. RAMANATHAN: Quadratic forms over involutorial division
	algebras	.	.	.	.	227

ICHIRO SATAKE: On the compactification of the Siegel
	space	.	.	.

ABSTRACTS OF PAPERS

S.	BOCHNER: Gamma factors in functional equations . 283

S.	BOCHNER and K. CIIANDRASEKHARAN : On Riemann s
	functional equation	.	.	.	.

M.	KOECHER: On the Hecke operators for modular forms
	of degree n	.	.	289

H.	PETERSSON : On a ccrtain kind of zetafuchsian
	functions	.	.	.	.	.	.