Geodesic

Sommaire du Fascicule no. 1

Formules de trace et non-annulation de fonctions $L$ automorphes au niveau $\mathfrak{p}^{\nu}$
p. 1-32
Jacobi sums and cyclotomic numbers of order $l^2$
p. 33-49
2-adic and 3-adic part of class numbers and properties of central values of $L$-functions
p. 51-72
Addendum to the papers “On polynomials taking small values at integral arguments I, II” (Acta Arith. 42 (1983), 189–196; ibid. 106 (2003), 115–121)
p. 73–79
On the number of representations of $n$ by $ax^2+by(y-1)/2$, $ax^2+by(3y-1)/2$ and $ax(x-1)/2+by(3y-1)/2$
p. 81-100

Sommaire du Fascicule no. 2

Approximation algébrique en caractéristique $p$
p. 101-113
The universality theorem for class group $L$-functions
p. 115-128
Green–Tao theorem in function fields
p. 129-152
Slightly improved sum-product estimates in fields of prime order
p. 153-160
A note on simultaneous Diophantine approximation in positive characteristic
p. 161-171
On the parity of $k$-th powers modulo $p$. A generalization of a problem of Lehmer
p. 173-203

Sommaire du Fascicule no. 3

A note on Farey fractions with denominators in arithmetic progressions
p. 205-215
Noether forms for the study of non-composite rational functions and their spectrum
p. 217-231
Regular positive ternary quadratic forms
p. 233-243
A new kind of Diophantine equations
p. 245-251
On the sum of two integral squares in quadratic fields $\mathbb Q(\sqrt{\pm p})$
p. 253-260
Logarithmic vector-valued modular forms
p. 261-282
Arithmetic progressions in sums of subsets of sparse sets
p. 283-289
The Brauer–Manin obstruction on a general diagonal quartic surface
p. 291-302

Sommaire du Fascicule no. 4

A structure theory for small sum subsets
p. 303-327
An application of Tao's analytic method to restricted sumsets
p. 329-336
On conjectures of Minkowski and Woods for $n=8$
p. 337-385
On the zeros of linear recurrence sequences
p. 387-396
On Hall's conjecture
p. 397-402