Mean value estimates for exponential sums and L-functions: a spectral theoretic approach.
Mean values connected with the Dedekind zeta-function of a non-normal cubic field
After Landau’s famous work, many authors contributed to some mean values connected with the Dedekind zetafunction. In this paper, we are interested in the integral power sums of the coefficients of the Dedekind zeta function of a non-normal cubic extension K 3/ℚ, i.e. , where M(m) denotes the number of integral ideals of the field K 3 of norm m and l ∈ ℕ. We improve the previous results for and .
Mellin transforms of Whittaker functions
Mellin transforms of Whittaker functions on GL(4, R) and GL(4, C).
Mémoire de Langlands sur la dimension des espaces de formes automorphes
Metaplectic correspondence
Metaplectic forms
Metaplectic forms and Gauss sums I
Mixed automorphic forms and differential equations.
Mixed Automorphic Forms and Invariants of Elliptic Surfaces.
Mixed Hodge structures and automorphic forms for Siegel modular varieties of degree two.
Mixed Jacobi-like forms of several variables.
Mock Heegner Points and Congruent Numbers.
Mock modular forms and singular combinatorial series
A celebrated result of Bringmann and Ono shows that the combinatorial rank generating function exhibits automorphic properties after being completed by the addition of a non-holomorphic integral. Since then, automorphic properties of various related combinatorial families have been studied. Here, extending work of Andrews and Bringmann, we study general infinite families of combinatorial q-series pertaining to k-marked Durfee symbols, in which we allow additional singularities. We show that these...
Mod p Hecke Operators and Congruences Between Modular Forms.
Modular Curves and the Class Group of Q(...p).
Modular curves and the Eisenstein ideal
Modular curves of composite level
Modular Decent and the Saito-Kurokawa Conjecture.
Modular embeddings and rigidity for Fuchsian groups
We prove a rigidity theorem for semiarithmetic Fuchsian groups: If Γ₁, Γ₂ are two semiarithmetic lattices in PSL(2,ℝ ) virtually admitting modular embeddings, and f: Γ₁ → Γ₂ is a group isomorphism that respects the notion of congruence subgroups, then f is induced by an inner automorphism of PGL(2,ℝ ).