Geodesic

Sommaire du Fascicule no. 1

Almost squares in arithmetic progression (II)
p. 1-14
Some families of non-congruent numbers
p. 15-36
A note on the existence of certain infinite families of imaginary quadratic fields
p. 37-43
The universality theorem for Hecke $L$-functions
p. 45-71
A remark on the Piatetski-Shapiro–Vinogradov theorem
p. 73-75
Kummer theory of abelian varieties and reductions of Mordell–Weil groups
p. 77-88
Mahler's classification of numbers compared with Koksma's
p. 89-105

Sommaire du Fascicule no. 2

A generalization of Proth's theorem
p. 107-115
On vector-valued modular forms and their Fourier coefficients
p. 117-124
Pairs of cubic forms in many variables
p. 125-140
On the order of unimodular matrices modulo integers
p. 141-151
An application of a lower bound for linear forms in two logarithms to the Terai–Jeśmanowicz conjecture
p. 153-164
On irregularities in the graph of generalized divisor functions
p. 165-171
On some developments of the Erdős–Ginzburg–Ziv Theorem II
p. 173-184
On the Diophantine equation $F(x)=G(y)$
p. 185-200
Erratum to “Cohomology sets inside arithmetic groups” (Acta Arith. 107 (2003), 27–33)
p. 201
Corrigendum to the paper: “Linear relations between roots of polynomials" (Acta Arith. 89 (1999), 53–96)
p. 203

Sommaire du Fascicule no. 3

On metric Diophantine approximation in positive characteristic
p. 205-218
An analog of van der Corput's $A^{4}$-process for exponential sums
p. 219-231
On non-intersecting arithmetic progressions
p. 233-238
The integral mean of the sum-of-digits function of the Ostrowski expansion
p. 239-258
The jumping champions of the Farey series
p. 259-274
On the upper bound for $\pi _{2}(x)$
p. 275-298
On additive properties of two special sequences
p. 299-303

Sommaire du Fascicule no. 4

An inductive method for proving the transcendence of certain series
p. 305-330
Parametrizing ${\rm SL}_2({\Bbb Z})$ and a question of Skolem
p. 331-337
On the diophantine equation $ x(x-1)\dots (x-(m-1 ) )= \lambda y(y-1 )\dots (y-(n-1 ) )+ l$
p. 339-360
Divisibility properties of generalized Vandermonde determinants
p. 361-379
Septic analogues of the Rogers–Ramanujan functions
p. 381-399
Familles de polynômes liées aux courbes modulaires $X_1(l)$ unicursales et points rationnels non-triviaux de courbes elliptiques quotient
p. 401-410