Algèbres de Hecke quasi-ordinaires universelles
All Congruent Numbers Less than 2000.
All Two-Gnerator Fuchsian Group.
Almost -representation. (Presque -représentations.)
Amenability, Poincaré series and quasiconformal maps.
An A4 extension of Q attached to a non-selfdual automorphic form on GL(3).
An analog of crank for a certain kind of partition function arising from the cubic continued fraction
An analogue of the Weil representation for G2.
An analytic function and iterated integrals
An application of the projections of automorphic forms
An Arithmetic of Hermitian Modular Forms of Degree Two.
An arithmetic of modular function fields of degree two
An arithmetic Riemann-Roch theorem for pointed stable curves
Let be an arithmetic ring of Krull dimension at most 1, and an -pointed stable curve of genus . Write . The invertible sheaf inherits a hermitian structure from the dual of the hyperbolic metric on the Riemann surface . In this article we prove an arithmetic Riemann-Roch type theorem that computes the arithmetic self-intersection of . The theorem is applied to modular curves , or , prime, with sections given by the cusps. We show , with when . Here is the Selberg zeta...
An arithmetic theory of Jacobi forms in higher dimensions.
An Elementary Approach to Hecke Operators.
An elementary proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves.
An elliptic analogue of the multiple Dedekind sums
An example of Fourier transforms of orbital integrals and their endoscopic transfer.
An explicit computation of -stabilized vectors
In this paper, we give a concrete method to compute -stabilized vectors in the space of parahori-fixed vectors for connected reductive groups over -adic fields. An application to the global setting is also discussed. In particular, we give an explicit -stabilized form of a Saito-Kurokawa lift.
An explicit formula for the Hilbert symbol of a formal group
A Brückner-Vostokov formula for the Hilbert symbol of a formal group was established by Abrashkin under the assumption that roots of unity belong to the base field. The main motivation of this work is to remove this hypothesis. It is obtained by combining methods of ()-modules and a cohomological interpretation of Abrashkin’s technique. To do this, we build ()-modules adapted to the false Tate curve extension and generalize some related tools like the Herr complex with explicit formulas for the...