-series, elliptic curves, and odd values of the partition function.
Q-curves over quadratic fields.
Q(T)-rank of elliptic curves and certain limit coming from the local points.
Quadratic congruences on average and rational points on cubic surfaces
We investigate the average number of solutions of certain quadratic congruences. As an application, we establish Manin's conjecture for a cubic surface whose singularity type is A₅ + A₁.
Quadratic forms, fibre products and some plane curves with many points
Quadratic integral solutions to double Pell equations
Quadratic modular symbols on Shimura curves
We introduce the concept of quadratic modular symbol and study how these symbols are related to quadratic-adic -functions. These objects were introduced in [3] in the case of modular curves. In this paper, we discuss a method to attach quadratic modular symbols and quadratic -adic -functions to more general Shimura curves.
Qualitative properties of coupled parabolic systems of evolution equations
We apply functional analytical and variational methods in order to study well-posedness and qualitative properties of evolution equations on product Hilbert spaces. To this aim we introduce an algebraic formalism for matrices of sesquilinear mappings. We apply our results to parabolic problems of different nature: a coupled diffusive system arising in neurobiology, a strongly damped wave equation, and a heat equation with dynamic boundary conditions.
Quantitative Riemann existence theorem over a number field
Quasi-modular forms attached to elliptic curves, I
In the present text we give a geometric interpretation of quasi-modular forms using moduli of elliptic curves with marked elements in their de Rham cohomologies. In this way differential equations of modular and quasi-modular forms are interpreted as vector fields on such moduli spaces and they can be calculated from the Gauss-Manin connection of the corresponding universal family of elliptic curves. For the full modular group such a differential equation is calculated and it turns out to be the...
Quasi-periodic functions and Drinfeld modular forms
Quelques propriétés d’approximation reliées à la cohomologie galoisienne d’un groupe algébrique fini
On étudie différentes propriétés d’approximation pour des espaces homogènes (à stabilisateur fini) de sur un corps de nombres. On discute également du lien avec le problème de Galois inverse et on établit une formule pour le groupe de Brauer non ramifié de .
Quotient curves of the Suzuki curve