Geodesic

Sommaire du Fascicule no. 1

Error functions, Mordell integrals and an integral analogue of a partial theta function
p. 1-37
Solutions to certain linear equations in Piatetski-Shapiro sequences
p. 39-52
Diophantine exponents for standard linear actions of ${\rm SL}_2$ over discrete rings in $\mathbb {C}$
p. 53-73
On Tate–Shafarevich groups of 1-motives
p. 75-89
Rational approximation of affine coordinate subspaces of Euclidean space
p. 91-100

Sommaire du Fascicule no. 2

New examples of complete sets, with connections to a Diophantine theorem of Furstenberg
p. 101-131
Elementary methods for incidence problems in finite fields
p. 133-142
Decaying and non-decaying badly approximable numbers
p. 143-152
On the numbers of prime factors of square free amicable pairs
p. 153-167
Effective approximation and Diophantine applications
p. 169-199

Sommaire du Fascicule no. 3

Supnorm of modular forms of half-integral weight in the weight aspect
p. 201-218
On weak Mellin transforms, second degree characters and the Riemann hypothesis
p. 219-275
The first moment of central values of symmetric square $L$-functions of cusp forms
p. 277-291
Families of periodic Jacobi--Perron algorithms in any dimension with period lengths going to infinity
p. 293-299

Sommaire du Fascicule no. 4

Badly approximable points in twisted Diophantine approximation and Hausdorff dimension
p. 301-314
Divisor divisibility sequences on tori
p. 315-345
A new tower with good $p$-rank meeting Zink’s bound
p. 347-374
Some real quadratic number fields whose Hilbert 2-class fields have class number congruent to 2 modulo 4
p. 375-392
A note on rational points near planar curves
p. 393-396