Geodesic

Sommaire du Fascicule no. 1

Generators and integral points on twists of the Fermat cubic
p. 1-16
On the behavior close to the unit circle of the power series whose coefficients are squared Möbius function values
p. 17-30
On invariants of elliptic curves on average
p. 31-70
On the multiples of a badly approximable vector
p. 71-81
Asymptotic formulae for partition ranks
p. 83-100

Sommaire du Fascicule no. 2

Another smallest part function related to Andrews' ${\rm spt}$ function
p. 101-105
Beta expansion of Salem numbers approaching Pisot numbers with the finiteness property
p. 107-119
Asymptotic distribution and symmetric means of algebraic numbers
p. 121-138
$L_p$- and $S_{p,q}^rB$-discrepancy of (order $2$) digital nets
p. 139-159
Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers
p. 161-186
The range of the sum-of-proper-divisors function
p. 187-199

Sommaire du Fascicule no. 3

Further remarks on Diophantine quintuples
p. 201-219
Convergence of series of dilated functions and spectral norms of GCD matrices
p. 221-246
On additive bases II
p. 247-267
Approximation properties of $\beta $-expansions
p. 269-287
On a conjecture of Lemke and Kleitman
p. 289-299

Sommaire du Fascicule no. 4

On certain infinite families of imaginary quadratic fields whose Iwasawa $\lambda $-invariant is equal to 1
p. 301-339
Coefficient bounds for level 2 cusp forms
p. 341-367
The divisor function on residue classes I
p. 369-381
An example in Beurling's theory of generalised primes
p. 383-395