We introduce and study certain truncated sums of Hecke eigenvalues of GL 2-automorphic
forms along quadratic polynomials. A power-saving estimate is established, and new …

In this paper, we propose a conjectural formula, relating the Fourier–Jacobi periods of
automorphic forms on U (n)× U (n) and the central value of some Rankin–Selberg L-function …

In the early 1980s, Rohrlich began a study of canonical Hecke characters, which are closely
related to the simplest examples of CM elliptic curves. He and Montgomery showed the non …

We prove a formula of Gross type for the central critical values of L-functions, which are
associated to Hilbert newforms twisted by a finite CM character. The formula expresses the …

ON THE L-FUNCTION OF THE CURVES $\lowercase{y}^2 = \lowercase{x}^5 + A$ Page 1 J.
London Math. Soc. (2) 68 (2003) 273–287 Cf2003 London Mathematical Society DOI …

In this paper we study the central values of L-functions associated to a large class of
algebraic Hecke characters of imaginary quadratic fields. When these central values are …

Let− D<− 4 denote a fundamental discriminant which is either odd or divisible by 8, so that
the canonical Hecke character of Q (− D) exists. Let d be a fundamental discriminant prime …

We prove quantitative nonvanishing theorems for central values and central derivatives of L–
series associated to canonical Hecke characters of imaginary quadratic fields. These results …

Abstract Let K= ℚ (− D) be an imaginary quadratic field of discriminant− D with D> 3 and D≡
3 mod 4. Let 𝒪 K be the ring of integers of K, let ɛ be the quadratic character of K of …

In this paper we prove a nonvanishing theorem for central values of L-functions associated
to a large class of algebraic Hecke characters of CM number fields. A key ingredient in the …