Geodesic

Sommaire du Fascicule no. 1

Double transitivity of Galois groups of trinomials
p. 1-15
On the diophantine equation $(x^m + 1)(x^n + 1) = y²$
p. 17-26
Determination of all imaginary abelian sextic number fields with class number ≤ 11
p. 27-43
On the average number of direct factors of finite abelian groups
p. 45-55
A note on Sinnott's index formula
p. 57-67
On integer solutions to x² - dy² = 1, z² - 2dy² =1
p. 69-76
The space of period polynomials
p. 77-93
On arithmetic progressions of equal lengthsand equal products of terms
p. 95-97
Errata to the paper "On a functional equation satisfied by certain Dirichlet series" (Acta Arith. 71 (1995), 265-272)
p. 99-101

Sommaire du Fascicule no. 2

Hypergeometric series and the Riemann zeta function
p. 103-118
On decimal and continued fraction expansions of a real number
p. 119-128
On double covers of the generalized alternating group $ℤ_d ≀
p. 129-145
On perfect powers in products with terms from arithmetic progressions
p. 147-172
The class number one problem for the non-abelian normal CM-fields of degree 16
p. 173-196

Sommaire du Fascicule no. 3

The ternary Goldbach problem in arithmetic progressions
p. 197-227
Properties of certain integer-valued analogues of Dedekind sums
p. 229-242
Norms of factors of polynomials
p. 243-255
Arithmetical aspects of certain functional equations
p. 257-277
Modular equations of hyperelliptic X₀(N) and an application
p. 279-291
Polynomials with nontrivial relations between their roots
p. 293-302
On the irreducibility of some polynomials in two variables
p. 303-307

Sommaire du Fascicule no. 4

New integral representations for the square of the Riemann zeta-function
p. 309-330
Gauss sums for orthogonal groups over a finite field of characteristic two
p. 331-357
Une courbe elliptique définie sur ℚ de rang ≥ 22
p. 359-363
On finite pseudorandom binary sequences I: Measure of pseudorandomness, the Legendre symbol
p. 365-377
Ramanujan's class invariants, Kronecker's limit formula and modular equations (III)
p. 379-392
Algebraic points of low degree on the Fermat quintic
p. 393-401
Prime divisors of Lucas sequences
p. 403-410