Geodesic

Sommaire du Fascicule no. 1

Distributions and Euler systems in global function fields
p. 1-17
On the number of pairs of binary forms with given degree and given resultant
p. 19-54
On some special forms of simultaneous Pell equations
p. 55-67
Crible étrange et sommes de Kloosterman
p. 69-100

Sommaire du Fascicule no. 2

Ratios of congruent numbers
p. 101-106
On a mixed Littlewood conjecture in Diophantine approximation
p. 107-124
Sequences with bounded l.c.m. of each pair of terms, III
p. 125-133
Linear equations with the Euler totient function
p. 135-147
Two Diophantine approaches to the irreducibility of certain trinomials
p. 149-156
The distribution of zeros of Epstein zeta functions over ${\rm GL}_{n}$
p. 157-166
Heights of powers of Newman and Littlewood polynomials
p. 167-176
A new construction of $(t,s)$-sequences and some improved bounds on their quality parameter
p. 177-191
Prime numbers of the form $p=m^2+n^2+1$ in short intervals
p. 193-200

Sommaire du Fascicule no. 3

On the arithmetic of genus two fibrations
p. 201-207
The Weil height in terms of an auxiliary polynomial
p. 209-221
Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
p. 223-233
Functoriality and number of solutions of congruences
p. 235-243
Inverse zero-sum problems
p. 245-279
Solving Ramanujan's differential equations for Eisenstein series via a first order Riccati equation
p. 281-294
Congruence and uniqueness of certain Markoff numbers
p. 295-301

Sommaire du Fascicule no. 4

A $q$-analogue of Lehmer's congruence
p. 303-318
Effective solution of the $D(-1)$-quadruple conjecture
p. 319-338
Quartic diophantine chains
p. 339-348
The $D(1)$-extensions of $D(-1)$-triples $\{1,2,c\}$ and integer points on the attached elliptic curves
p. 349-375
Lower bounds for the number of zeros of cosine polynomials in the period: a problem of Littlewood
p. 377-384
On the height of algebraic numbers with real conjugates
p. 385-389
Gauss's three squares theorem with almost prime variables
p. 391-399