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Acta Arithmetica

Volume 30

Warszawa 1976

Contents

S. Chowla
D. Goldfeld		A remark on certain Hecke L-series which are non-negative on the real axis1-3
J. BerstelFactorisation de fractions rationnelles et de suites récurrentes5-17
R. Lidl
W. Müller		Über Permutationsgruppen die durch Tschebyscheff-Polynome erzeugt werden19-25
T. ShoreyOn linear forms in the logarithms of algebraic numbers27-42
A. BazylewiczOn the product of the conjugates outside the unit circle of an algebraic integer43-61
H. CohenVariations sur un thème de Siegel et Hecke63-93
В. СпринджукГиперэллиптическое диофантово уравнение и числа классов идеалов95-108
D. NordonZéros communs non singuliers de deux formes quadratiques109-119
P. Erdös
A. Sárkozi
J. Deshouillers		On additive bases121-132
R. HudsonA sharper bound for the least pair of consecutive k-th power non-residues of non-principal characters (mod p) of order k > 3 133-135
E. GrossmanOn the solutions of diophantine equations in units137-143
Я. МозерО функции S(t) в теории дзета-функции Римана145-158
M. Dodson
A. Tietäväinen		A note on Waring's problem in GF (p)159-167
M. Madan
J. Leitzel		Algebraic function fields with equal class number169-177
H. MöllerImaginär-quadratische Zahlkörper mit einklassigen Geschlechtern179-186
A. TerrasThe Fourier expansion of Epstein's zeta function for totally real algebraic number fields and some consequences for Dedekind's zeta function187-197
M. PohstInvarianten des total reellen Körpers siebten Grades mit Minimaldiskriminante199-207
I. KátaiDistribution mod 1 of additive functions on the set of divisors209-212
S. AgouCritères d'irréductibilite des polynômes composés à coefficients dans un corps fini213-223
B. RichterÜber die Monotonie von Differenzenfolgen225-227
A. Jones
J. Conway		Trigonometric diophantine equations (On vanishing sums of roots of unity)229-240
R. TerrasA stopping time problem on the positive integers241-252
J. CohnThe diophantine equations (x^2 - c)^2 = (t^2 ± 2) y^2 + 1253-255
P. Erdös
T. Shorey		On the greatest prime factor of 2^p - 1 for a prime p and other expressions257-265
D. CorayAlgebraic points on cubic hypersurfaces267-296
M. BruneauComportement local des fonctions à série de Fourier lacunaire297-305
F. Gerth IIIRanks of 3-class groups of non-Galois cubic fields307-322
T. Nguyen-Quang-DoFiltration de K*/(K*)^p et ramification sauvage323-340
P. ElliottOn two conjectures of Kátai341-365
H. Cohn
G. Cooke		Parametric form of an eight class field367-377
. Conspectus materiae tomorum XVI-XXX (1969-1976)379-408

 
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