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Acta Arithmetica

Volume 41

Warszawa 1982

Contents

J. Parnami
A. Rajwade
M. Agrawal		Jacobi sums and cyclotomic numbers for a finite field1-13
S. SrinivasanA note on |αp - q|15-18
Y. MatsuokaGeneralizations of Ramanujan's formulae19-26
А. СоколовскийОб одной теореме А. Шаркози27-31
J. Colliot-Thélène
J. Sansuc		Sur le principe de Hasse et l'approximation faible, et sur une hypothèse de Schinzel33-53
C. CordesQuadratic forms over fields with four quaternion algebras55-70
J. RiddellPartitions into distinct small primes71-84
D. Heath-BrownGaps between primes, and the pair correlation of zeros of the zeta-function85-99
A. BazylewiczTraces of monomials in algebraic numbers101-116
J. WójcikOn the density of some sets of primes connected with cyclotomic polynomials117-131
G. MullenMatrix equivalence over finite fields133-139
S. Wagstaff Jr.Pseudoprimes and a generalization of Artin's conjecture141-150
J. WójcikOn the congruence f(x^k) ≡ 0 mod q, where q is a prime and f is a k-normal polynomial151-161
A. OstrowskiOn the error term in multidimensional diophantine approximation163-183
R. BéjianMinoration de la discrépance d'une suite quelconque sur T185-202
A. SchinzelAn application of Hilbert's irreducibility theorem to diophantine equations203-211
J. Beard Jr.
R. Mcconnel		Matrix field extensions213-221
J. HinzEine Anwendung der Selbergschen Siebmethode in algebraisehen Zahlkörpern223-254
T. ShoreyThe equation ax^m + by^m = cx^n + dy^n255-260
R. Hudson
K. Williams		An application of a formula of Western to the evaluation of certain Jacobsthal sums261-276
U. ZannierA note on recurrent mod p sequences277-280
D. RawsthorneSelberg's sieve estimate with a one sided hypothesis281-289
E. ReyssatPropriétés d'indépendance algébrique de nombres liés aux fonctions de Weierstrass291-310
R. Hudson
K. Williams		Congruences for representations of primes by binary quadratic forms311-322
R. MatthewsSome generalisations of Chebyshev polynomials and their induced group structure over a finite field323-335
H. FaureDiscrépance de suites associées à un système de numération (en dimension s)337-351
M. NewmanCyclotomic units and Hilbert's Satz 90353-357
E. FouvryRépartition des suites dans les progressions arithmétiques359-382
V. SchulzeErweiterung eines Satzes von Schinzel über Potenzreste383-394
P. Erdös
A. Sárközy		Some asymptotic formulas on generalized divisor functions, III395-411

 
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