Geodesic

Sommaire du Fascicule no. 1

Multi-continued fraction algorithm on multi-formal Laurent series
p. 1-16
Behrend-type constructions for sets of linear equations
p. 17-33
The real $3x+1$ problem
p. 35-44
On integers of the form $p+2^k$
p. 45-50
On the mean value of $L(m,\chi )L(n,\overline {\chi })$ at positive integers $m,n\geq 1$
p. 51-56
On a conjecture of Yiming Long
p. 57-61
On the trace map between absolutely abelian number fields of equal conductor
p. 63-74
An average formula for the class number
p. 75-90
Polynomial extension of Fleck's congruence
p. 91-100

Sommaire du Fascicule no. 2

On the number of representations of $n$ by $ax^2+bxy+cy^2$
p. 101-171
Limit theorems for the Mellin transform of the square of the Riemann zeta-function. I
p. 173-184
The number of $S_4$-fields with given discriminant
p. 185-194
A characterization of rational elements by Lüroth-type series expansions in the $p$-adic number field and in the field of Laurent series over a finite field
p. 195-205

Sommaire du Fascicule no. 3

Coincidences in the values of the Euler and Carmichael functions
p. 207-234
Sur le sous-groupe des éléments de hauteur infinie du $K_2$ d'un corps de nombres
p. 235-244
Quotient curves of the Suzuki curve
p. 245-274
On the equivariant main conjecture of Iwasawa theory
p. 275-296
A relative trace formula proof of the Petersson trace formula
p. 297-313

Sommaire du Fascicule no. 4

Initial powers of Sturmian sequences
p. 315-347
Ramanujan identities and Euler products for a type of Dirichlet series
p. 349-393
On certain combinatorial Diophantine equations and their connection to Pythagorean numbers
p. 395-406
On the number of solutions of simultaneous Pell equations II
p. 407-417