Geodesic

Sommaire du Fascicule no. 1

On solutions of the equation $X^n+ Y^n=B Z^n$ with prime $n|BZ$
p. 1-6
Algebraic setup of non-strict multiple zeta values
p. 7-18
On zeros of approximate functions of the Rankin–Selberg $L$-functions
p. 19-45
On sumsets and spectral gaps
p. 47-55
Arithmetic properties of polynomial specializations over finite fields
p. 57-79
Arithmetic functions on Beatty sequences
p. 81-89
Exact exponent in the remainder term of Gelfond's digit theorem in the binary case
p. 91-100

Sommaire du Fascicule no. 2

A note on the pseudorandomness of the Liouville function
p. 101-121
Algebraic relations between special values of multiple sine functions
p. 123-134
On the 4-rank of tame kernels of quadratic number fields
p. 135-149
Representations by quaternary quadratic forms whose coefficients are 1, 3 and 9
p. 151-166
An irregular $D(4)$-quadruple cannot be extended to a quintuple
p. 167-176
Manin's conjecture on a nonsingular quartic del Pezzo surface
p. 177-199

Sommaire du Fascicule no. 3

Continued fractions with sequences of partial quotients over the field of Laurent series
p. 201-211
Functional equation for partial zeta functions twisted by additive characters
p. 213-228
Universality of a non-classical integral quadratic form over $\mathbb Q ( \sqrt 5 )$
p. 229-242
On the non-quadraticity of values of the $q$-exponential function and related $q$-series
p. 243-269
Tame kernels of cyclic extensions of number fields
p. 271-277
A Banach space determined by the Weil height
p. 279-298

Sommaire du Fascicule no. 4

Multiple zeta values for coordinatewise limits at non-positive integers
p. 299-317
Univoque numbers and an avatar of Thue–Morse
p. 319-329
Effective results for linear equations in two unknowns from a multiplicative division group
p. 331-349
Generalized ABC theorems for non-Archimedean entire functions of several variables in arbitrary characteristic
p. 351-384
On Hilbert–Speiser type imaginary quadratic fields
p. 385-389
Convexity bounds for $L$-functions
p. 391-395