Geodesic

Sommaire du Fascicule no. 1

A note on two conjectures
p. 1-3
New criteria for canonical number systems
p. 5-25
Combinatorial relations for Euler–Zagier sums
p. 27-42
Galois representations of dihedral type over ${\Bbb Q}_p$
p. 43-59
A family of quartic Thue inequalities
p. 61-76
On the distribution of $k$th powers of integral quaternions
p. 77-96
A Gel'fond type criterion in degree two
p. 97-103

Sommaire du Fascicule no. 2

Galois module structure of units in real biquadratic number fields
p. 105-124
On the stationary points of Hardy's function $Z(t)$
p. 125-140
The product of two Dirichlet series
p. 141-152
Heine's basic transform and a permutation group for $q$-harmonic series
p. 153-164
Notes on power LCM matrices
p. 165-177
Negative values of cosine sums
p. 179-186
Exceptional congruences for powers of the partition function
p. 187-203

Sommaire du Fascicule no. 3

On the Barban–Davenport–Halberstam theorem: XV
p. 205-224
The size function $h^{\circ} $ for a pure cubic field
p. 225-237
Average distributions and products of special values of $L$-series
p. 239-268
The Jacobi–Perron Algorithm and Pisot numbers
p. 269-275
Uniformly counting points of bounded height
p. 277-297
Multiplicative character sums for nonlinear recurring sequences
p. 299-305

Sommaire du Fascicule no. 4

On the mean squared modulus of a Dirichlet $L$-function over a short segment of the critical line
p. 307-403
Lower bound of real primitive $L$-function at $s=1$
p. 405-409