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Acta Arithmetica

Volume 86

Warszawa 1998

Contents

A. SatoOn the distribution of rational points on certain Kummer surfaces1-16
N. CalkinFactors of sums of powers of binomial coefficients17-26
N. SaradhaSquares in products with terms in an arithmetic progression27-43
Y. BugeaudOn the greatest prime factor of (ab + 1)(bc + 1)(ca + 1)45-49
N. TshudakovBounds for the minimal solution of genus zero diophantine equations51-90
A. BakerA supersingular congruence for modular forms91-100
M. MignotteA corollary to a theorem of Laurent–Mignotte–Nesterenko101-111
S. LiOn the number of elements with maximal order in the multiplicative group modulo n113-132
K. YamamuraDetermination of the imaginary normal octic number fields with class number one which are not CM-fields133-147
H. YuOn two problems of Mordell about exponential sums149-154
L. Richmond
J. Bell
P. Borwein		Growth of the product Π_{j=1}^n (1-x^{a_j})155-170
S. JohanssonGenera of arithmetic Fuchsian groups171-191
B. PoonenSome diophantine equations of the form x^n + y^n = z^m193-205
O. LecacheuxConstructions de polynômes génériques à groupe de Galois résoluble207-216
R. CoulterFurther evaluations of Weil sums217-226
K. Győry
M. Ru		Integer solutions of a sequence of decomposable form inequalities227-237
M. IshibashiQ-linear relations of special values of the Estermann zeta function239-244
H. YuOn Waring’s problem with polynomial summands II245-254
Y. YeHyper-Kloosterman sums and estimation of exponential sums of polynomials of higher degrees255-267
I. RuzsaOn the additive completion of primes269-275
H. Niederreiter
C. Xing		Global function fields with many rational places over the quinary field. II277-288
M. XuCohomology groups of units in {Z_p}^d -extensions289-304
T. KomatsuOn inhomogeneous Diophantine approximation and the Nishioka–Shiokawa–Tamura algorithm305-324
S. Konyagin
A. Dubickas		On the number of polynomials of bounded measure325-342
M. Liu
T. Wang		A numerical bound for small prime solutions of some ternary linear equations343-383

 
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