Formules de trace et non-annulation de fonctions L automorphes au niveau
Growth of Selmer groups of Hilbert modular forms over ring class fields
We prove non-trivial lower bounds for the growth of ranks of Selmer groups of Hilbert modular forms over ring class fields and over certain Kummer extensions, by establishing first a suitable parity result.
Hecke Eigenforms of Degree Two: Dirichlet Series and Euler Products.
Herleitung des Euler-Produktes der Zetafunktio und einiger L-Reihen aus ihrer Funktionalgleicheung
Icosahedral Galois Extensions and Elliptic Curves.
Identities involving the coefficients of automorphic -functions.
Integral power sums of Hecke eigenvalues
L-functions and Fourier-Jacobi coefficients for the unitary group U (3).
L-Functions attached to Jacobi forms of degree n. II. Functional equation.
L-functions attached to Jacobi forms of degree n. Part I. The basic identity.
L-functions for Jacobi forms à la Hecke.
Li coefficients for automorphic -functions
Xian-Jin Li gave a criterion for the Riemann hypothesis in terms of the positivity of a set of coefficients
Low lying zeros of families of -functions
Lower bounds for power moments of L-functions
Lower order terms for the one-level densities of symmetric power L-functions in the level aspect
Lower order terms in the 1-level density for families of holomorphic cuspidal newforms
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 .
Modularity of the Rankin-Selberg -series, and multiplicity one for .
Multiple Dirichlet series over rational function fields
Non-unique models in the Rankin-Selberg method.