Geodesic

Sommaire du Fascicule no. 1

Fields of definition of building blocks with quaternionic multiplication
p. 1-14
An equivalent of Kronecker's theorem for powers of an algebraic number and structure of linear recurrences of fixed length
p. 15-33
Mahler measure of the Horie unit and Weber's class number problem in the cyclotomic $\mathbb Z_{3}$-extension of $\mathbb Q$
p. 35-49
Arithmetic and ergodic properties of `flipped' continued fraction algorithms
p. 51-79
Upper bounds for the $L_q$ norm of Fekete polynomials on subarcs
p. 81-91
Rational points on some elliptic surfaces
p. 93-108

Sommaire du Fascicule no. 2

A decomposition of the space of higher order modular cusp forms
p. 109-132
Primes in arithmetic progressions to spaced moduli
p. 133-159
Congruences for Ramanujan's $\phi $ function
p. 161-189
On the hybrid mean value of Cochrane sums and generalized Kloosterman sums
p. 191-197
Independence measures of arithmetic functions II
p. 199-216

Sommaire du Fascicule no. 3

A generalization of a theorem of Lekkerkerker to Ostrowski's decomposition of natural numbers
p. 217-249
Class numbers of ring class fields of prime conductor
p. 251-269
The number of solutions of a homogeneous linear congruence
p. 271-279
Class number one problem for real quadratic fields of a certain type
p. 281-298
The prime number theorem for Beurling's generalized numbers. New cases
p. 299-324

Sommaire du Fascicule no. 4

Linear equations over multiplicative groups in positive characteristic
p. 325-347
On the reducibility type of trinomials
p. 349-372
On the system of Diophantine equations $a^2+b^2=(m^2+1)^r$ and $a^x+b^y=(m^2+1)^z$
p. 373-392
On the indices of multiquadratic number fields
p. 393-414
Weak Néron models for cubic polynomial maps over a non-Archimedean field
p. 415-428