Geodesic

Sommaire du Fascicule no. 1

Hybrid mean value for a generalization of a problem of D. H. Lehmer
p. 1-17
An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field
p. 19-35
Algebraic relations for reciprocal sums of Fibonacci numbers
p. 37-60
Some explicit constructions of sets with more sums than differences
p. 61-77
Low-discrepancy sequences using duality and global function fields
p. 79-97

Sommaire du Fascicule no. 2

Euler sums with Dirichlet characters
p. 99-125
A criterion for periodicity of multi-continued fraction expansion of multi-formal Laurent series
p. 127-140
Parameterized families of quadratic number fields with 3-rank at least 2
p. 141-147
Representation functions, Sidon sets and bases
p. 149-156
Some identities involving the Dirichlet $L$-function
p. 157-166
A family of pseudorandom binary sequences constructed by the multiplicative inverse
p. 167-180
On the arithmetic of certain modular curves
p. 181-193
On a class of equations with special degrees over finite fields
p. 195-202

Sommaire du Fascicule no. 3

A congruence involving the quotients of Euler and its applications (II)
p. 203-214
The Ostrogradsky series and related Cantor-like sets
p. 215-230
Infinite sums as linear combinations of polygamma functions
p. 231-254
Representations of integers as sums of primes from a Beatty sequence
p. 255-275
Nineteen quaternary quadratic forms
p. 277-310

Sommaire du Fascicule no. 4

Products of an arbitrary number of Hecke eigenforms
p. 311-319
Minimal polynomials of some beta-numbers and Chebyshev polynomials
p. 321-332
Generalised Mertens and Brauer–Siegel theorems
p. 333-350
Arithmetical applications of an identity for the Vandermonde determinant
p. 351-359
On the Siegel–Tatuzawa–Hoffstein theorem
p. 361-367
An improvement of an estimate for finite additive bases
p. 369-380
Sumsets without powerful numbers
p. 381-387
A characterization of rational numbers by $p$-adic Sylvester series expansions
p. 389-402
Poisson distribution for a sum of additive functions on shifted primes
p. 403-414