Geodesic

Sommaire du Fascicule no. 1

On polynomials that are sums of two perfect $q$th powers
p. 1-31
On the non-existence of simple congruences for quotients of Eisenstein series
p. 33-41
Multiplicity results for the functional equation of the Dirichlet $L$-functions
p. 43-70
Multiplicity results for the functional equation of the Dirichlet $L$-functions: case $p=2$
p. 71-81
Okutsu invariants and Newton polygons
p. 83-108

Sommaire du Fascicule no. 2

Multiple $p$-adic log-gamma functions and their characterization theorem
p. 109-122
Multivariable polynomial injections on rational numbers
p. 123-127
On a Diophantine problem of Bennett
p. 129-136
Reciprocity formulae for general multiple Dedekind–Rademacher sums and enumeration of lattice points
p. 137-154
On the infinite product exponents of meromorphic modular forms for certain arithmetic groups
p. 155-169
Eight cubes of primes and powers of 2
p. 171-192
On a Diophantine problem with two primes and $s$ powers of two
p. 193-208
More exact solutions to Waring's problem for finite fields
p. 209-212

Sommaire du Fascicule no. 3

Decomposing rational numbers
p. 213-220
On the parity of the number of multiplicative partitions
p. 221-232
On the Andrianov-type identity for power series attached to Jacobi forms and its application
p. 233-265
Infinite Hilbert 2-class field tower of quadratic number fields
p. 267-272
A notion of diaphony based on $p$-adic arithmetic
p. 273-284
Valeurs moyennes de fonctions multiplicatives sur les entiers friables translatés
p. 285-304
On certain Diophantine systems with infinitely many parametric solutions and applications
p. 305-313

Sommaire du Fascicule no. 4

On the class number of some real abelian number fields of prime conductors
p. 315-318
Quantitative Riemann existence theorem over a number field
p. 319-339
Generalizations of some irreducibility results by Schur
p. 341-371
Dimensions of spaces of modular forms for $\Gamma _H(N)$
p. 373-395
Fractional moments of Dirichlet $L$-functions
p. 397-409
Note on the Erdős–Graham theorem
p. 411-412