Geodesic

Sommaire du Fascicule no. 1

Square-free values of $n^2+1$
p. 1-13
On the determination of the Plancherel measure for Lebedev–Whittaker transforms on $\mathop {GL}(n)$
p. 15-26
Schinzel's problem: Imprimitive covers and the monodromy method
p. 27-40
On additive decompositions of the set of quadratic residues modulo $p$
p. 41-51
Generalized Frobenius numbers: bounds and average behavior
p. 53-62
Zero-cycles and rational points on some surfaces over a global function field
p. 63-70
Improved discrepancy bounds for hybrid sequences involving Halton sequences
p. 71-84
On the Hausdorff dimension of the expressible set of certain sequences
p. 85-90
A symmetric diophantine system concerning fifth powers
p. 91-95
On interaction of Hecke–Shimura rings: symplectic versus orthogonal
p. 97-107
A set of squares without arithmetic progressions
p. 109-115

Sommaire du Fascicule no. 2

Familles d'équations de Thue–Mahler n'ayant que des solutions triviales
p. 117-138
Groupes de Galois résolubles et séries formelles
p. 139-147
A polynomial investigation inspired by work of Schinzel and Sierpiński
p. 149-161
Product-free sets with high density
p. 163-173
On a conjecture of Pomerance
p. 175-184
Lower bounds for the conductor of $L$-functions
p. 185-199
Linear polynomials in numbers of bounded degree
p. 201-205
Linear recurrences as sums of squares
p. 207-216
On power values of pyramidal numbers, I
p. 217-226
Number of solutions in a box of a linear homogeneous equation in an Abelian group
p. 227-231

Sommaire du Fascicule no. 3

Elliptic Carmichael numbers and elliptic Korselt criteria
p. 233-246
On some new congruences for generalized Bernoulli numbers
p. 247-258
Effective results for restricted rational approximation to quadratic irrationals
p. 259-269
On Waring's problem for two cubes and two small cubes
p. 271-285
Mean value theorems for binary Egyptian fractions II
p. 287-296
Linear independence of Hurwitz zeta values and a theorem of Baker–Birch–Wirsing over number fields
p. 297-309
Small values of the Euler function and the Riemann hypothesis
p. 311-321
Arf equivalence II
p. 323-337
Spectral factorization of trigonometric polynomials and lattice geometry
p. 339-347

Sommaire du Fascicule no. 4

On some number-theoretic sums introduced by Jacobsthal
p. 349-351
Small gaps between zeros of twisted L-functions
p. 353-371
Geometric properties of the zeta function
p. 373-396
The Bounded Gap Conjecture and bounds between consecutive Goldbach numbers
p. 397-405
Exceptional units and cyclic resultants
p. 407-418
Baker's explicit $abc$-conjecture and applications
p. 419-429
Primitive prime factors in second-order linear recurrence sequences
p. 431-452
On a question of Schinzel about the length and Mahler's measure of polynomials that have a zero on the unit circle
p. 453-463