Geodesic

Sommaire du Fascicule no. 1

Sums of one prime and two prime squares
p. 1-9
The expansion of $\prod_{k=1}^{\infty }(1-q^{ak})(1-q^{bk})$
p. 11-29
Multiplicity estimates for certain pairs of functions involving Drinfeld modular forms
p. 31-54
The Galois group of $X^p+aX^s+a$
p. 55-65
Joint value approximation and joint universality for several types of zeta functions
p. 67-82
Distribution of consecutive modular roots of an integer
p. 83-91
Farey fractions with prime denominators
p. 93-99

Sommaire du Fascicule no. 2

On a problem of Konyagin
p. 101-109
On a correspondence between $p$-adic Siegel–Eisenstein series and genus theta series
p. 111-126
A remark on trigonometric sums
p. 127-131
Density of rational points on elliptic fibrations—II
p. 133-140
Sur l'ordre de grandeur des polynômes de Dirichlet
p. 141-148
On multiple zeros of Bernoulli polynomials
p. 149-155
The uniform primality conjecture for elliptic curves
p. 157-181
Tame kernels of quintic cyclic fields
p. 183-199

Sommaire du Fascicule no. 3

Exotic Collatz cycles
p. 201-209
Yet another generalization of the Ramanujan–Nagell equation
p. 211-217
On the error term in Weyl's law for Heisenberg manifolds
p. 219-257
The dimensions of integral points and holomorphic curves on the complements of hyperplanes
p. 259-270
On torsion in $J_1(N)$, II
p. 271-277
A note on the paper by K. Feng “Non-congruent numbers, odd graphs and the Birch–Swinnerton-Dyer conjecture” (Acta Arith. 75 (1996), 71–83)
p. 279-281
Beilinson–Kato elements in $K_2$ of modular curves
p. 283-298

Sommaire du Fascicule no. 4

Squares in arithmetic progression with at most two terms omitted
p. 299-316
Billiard and diophantine approximation
p. 317-327
Note on the paper “An extension of a theorem of Euler" by Hirata-Kohno et al. (Acta Arith. 129 (2007), 71–102)
p. 329-335
Generalized continued fractions and orbits under the action of Hecke triangle groups
p. 337-348
On the $p$-adic Leopoldt transform of a power series
p. 349-367
Simultaneous Pellian equations with a single or no solution
p. 369-380
Infinite divisibility of Smith matrices
p. 381-386
A note on a multiplicative hybrid problem
p. 387-393