Geodesic

Sommaire du Fascicule no. 1

Professor K. G. Ramanathan (1920-1992)
p. 1-6
The abc-inequality and the generalized Fermat equation in function fields
p. 7-18
A note on the diophantine equation $(x^m-1)/(x-1) = y^n$
p. 19-28
On the diophantine equation $D₁x² + D₂ = 2^{n+2}$
p. 29-41
Une nouvelle minoration de |logα - β|, |α - expβ|, α et β algébriques
p. 43-57
On numbers with a unique representation by a binary quadratic form
p. 59-68
Elliptic units of cyclic unramified extensions of complex quadratic fields
p. 69-85
Some remarks on the S-unit equation in function fields
p. 87-98
Corrigendum to the paper "On the 2-primary part of a conjecture of Birch and Tate" (Acta Arith. 43 (1983), 69-81)
p. 99

Sommaire du Fascicule no. 2

Modular forms of weight 1/2 over class number 1 imaginary quadratic number fields
p. 101-123
A simple characterization of principal ideal domains
p. 125-128
The number of squarefull numbers in an interval
p. 129-149
Functions without residue and a bilinear differential equation
p. 151-174
Propriétés arithmétiques d'une série liée aux fonctions thêta
p. 175-188
On the l-divisibility of the relative class number of certain cyclic number fields
p. 189-204

Sommaire du Fascicule no. 3

Digital sum moments and substitutions
p. 205-225
Cyclotomic polynomials with large coefficients
p. 227-235
Zur Anzahl unitärer Faktoren abelscher Gruppen
p. 237-248
Short interval results for k-free values of irreducible polynomials
p. 249-270
Explicit solution of a class of quartic Thue equations
p. 271-283
On the number of abelian groups of a given order (supplement)
p. 285-296

Sommaire du Fascicule no. 4

Mordell-Weil rank of the jacobians of the curves defined by $y^p = f(x)$
p. 297-302
Quadratic field extensions and residue homomorphisms of Witt rings
p. 303-323
On Sidon sequences of even orders
p. 325-330
A result on the digits of aⁿ
p. 331-339
Ramsey problems in additive number theory
p. 341-355
The mean square of the Riemann zeta-function in the critical strip III
p. 357-382
Generating units modulo an odd integer by addition and subtraction
p. 383-388