Geodesic

Sommaire du Fascicule no. 1

On a conjecture of R. L. Graham
p. 1-38
The Dirichlet series of $ζ(s)ζ^α(s+1)f(s+1)$: On an error term associated with its coefficients
p. 39-69
Non-congruent numbers, odd graphs and the Birch-Swinnerton-Dyer conjecture
p. 71-83
Distribution of lattice points on hyperbolic surfaces
p. 85-95

Sommaire du Fascicule no. 2

On the pure Jacobi sums
p. 97-104
On Tornheim's double series
p. 105-117
Problems and results on αp - βq
p. 119-131
Arithmetic progressions of length three in subsets of a random set
p. 133-163
Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations
p. 165-190
On addition of two distinct sets of integers
p. 191-194

Sommaire du Fascicule no. 3

On character sums of rational functions over local fields
p. 195-204
Minimal multipliers for consecutive Fibonacci numbers
p. 205-218
On a metrical theorem of W. Schmidt
p. 219-233
Kummer type congruences and Stickelberger subideals
p. 235-250
Solvability of
p. 251-258
Sets of integers with pairwise common divisor and a factor from a specified set of primes
p. 259-276
The two parameter hyperbola problem
p. 277-285
A note on the equation $ax^n - by^n = c$
p. 287-295

Sommaire du Fascicule no. 4

Symmetry and specializability in continued fractions
p. 297-320
A proof of quintic reciprocity using the arithmetic of y² = x⁵ + 1/4
p. 321-337
Asymptotic behaviour of some infinite products involvingprime numbers
p. 339-350
Farey series and the Riemann hypothesis
p. 351-374
Algebraic integers of small discriminant
p. 375-382
Explicit global function fields over the binary field with many rational places
p. 383-396