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Acta Arithmetica

Volume 58

Warszawa 1991

Contents

P. PhilipponDénominateurs dans le théorème des zéros de Hilbert1-25
A. CzogałaOn reciprocity equivalence of quadratic number fields27-46
J. SandsGeneralization of a theorem of Siegel47-57
D. KluschOn entry 8 of Chapter 15 of Ramanujan's Notebook II59-64
T. KløveConstructions of $B_{h}[g]$-sequences65-78
J. Davenport
D. Coppersmith		Polynomials whose powers are sparse79-87
M. LuOn a problem of sums of mixed powers89-102
L. MurataThe distribution of primes satisfying the condition $a^{p-1} ≡ 1 (mod p^{2})$103-111
Н. ТимофеевГипотеза Эрдеша-Кубилюца о распределении значений аддитивных функций на последовательности сдвинутых простых чисел113-131
J. Hsia
A. Earnest		One-class spinor genera of positive quadratic forms133-139
G. HarmanFractional and integral parts of $p^{λ}$141-152
И. ШпарлинскийО полиномиальных сравнениях153-156
G. Niklasch
R. Quême		An improvement of Lenstra's criterion for Euclidean number fields: The totally real case157-168
I. RuzsaThe density of the set of sums169-172
A. FujiiAn additive problem of prime numbers173-179
S. Raghavan
J. Sengupta		A Dirichlet series for Hermitian modular forms of degree 2181-201
M. AyadSur le théorème de Runge203-209
K. BartzCorrection to the paper: "An effective order of Hecke-Landau zeta functions near the line σ=1. I" (Acta Arith. 50 (1988), no. 2, 183-193)211-211
J. CasselsObituary of Kurt Mahler215-228
. List of publications of Kurt Mahler229-237
P. BeckerEffective measures for algebraic independence of the values of Mahler type functions239-250
M. FilasetaOn an irreducibility theorem of I. Schur251-272
S. LouboutinNorme relative de l'unité fondamentale et 2-rang du groupe des classes d'idéaux de certains corps biquadratiques273-288
M. LeOn the generalized Ramanujan-Nagell equation $x^{2} - D = p^{n}$289-298
K. Ramachandra
A. Sankaranarayanan		Note on a paper by H. L. Montgomery - II299-308
U. RauschZum Ellipsoidproblem in algebraischen Zahlkörpern309-333
J. HinzChen's theorem in totally real algebraic number fields335-361
C. Pomerance
P. Erdős
E. Schmutz		Carmichael's lambda function363-385

 
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