Given a complex number s with 0 < ℛe s < 1, we study the existence of a cusp form of large even weight for the full modular group such that its associated symmetric square L-function L(sym2f, s) does not vanish. This problem is also considered in other articles.published_or_final_versio
The nonvanishing of Hecke Z-functions at the line Re (s) = 1 has proved to be useful in the theory ...
summary:We investigate the average behavior of the $n$th normalized Fourier coefficients of the $j$t...
Given two Hecke cusp forms f1 and f2 of SL(2,ℤ). Suppose there is a quadratic character χ...
We consider questions of non-vanishing of symmetric square L -functions lifted from Hecke cusp forms...
We investigate the large weight (k → ∞) limiting statistics for the low lying zeros of a GL(4) and a...
We prove the non-vanishing of special L-values of cuspidal automorphic forms on GL(2) twisted by Hec...
AbstractWe find a twisted first moment of L(sym2f,s) at any point s on the critical line, over a bas...
AbstractLet p≡3(mod4) be a prime, and k=(p+1)/2. In this paper we prove that two things happen if an...
A generalized Riemann hypothesis states that all zeros of the completed Hecke L-function L* (f, s) o...
Note:In this thesis we use a modular form constructed by Zagier[Z] together with the Lindelof hypoth...
Abstract. Let p ≡ 3 (mod 4) be a prime, and k = (p + 1)/2. In this paper we prove that two things ha...
grantor: University of TorontoThis thesis studies the non-vanishing of the twisted modular...
Let λsym2f(n) be the n-th coefficient in the Dirichlet series of the symmetric square L-function ass...
Let π be a cuspidal representation of GLn(AF), where AF is the ring of adeles of a number field F
In this paper, we study the average behaviour of the coefficients of triple product L-functions and ...
The nonvanishing of Hecke Z-functions at the line Re (s) = 1 has proved to be useful in the theory ...
summary:We investigate the average behavior of the $n$th normalized Fourier coefficients of the $j$t...
Given two Hecke cusp forms f1 and f2 of SL(2,ℤ). Suppose there is a quadratic character χ...
We consider questions of non-vanishing of symmetric square L -functions lifted from Hecke cusp forms...
We investigate the large weight (k → ∞) limiting statistics for the low lying zeros of a GL(4) and a...
We prove the non-vanishing of special L-values of cuspidal automorphic forms on GL(2) twisted by Hec...
AbstractWe find a twisted first moment of L(sym2f,s) at any point s on the critical line, over a bas...
AbstractLet p≡3(mod4) be a prime, and k=(p+1)/2. In this paper we prove that two things happen if an...
A generalized Riemann hypothesis states that all zeros of the completed Hecke L-function L* (f, s) o...
Note:In this thesis we use a modular form constructed by Zagier[Z] together with the Lindelof hypoth...
Abstract. Let p ≡ 3 (mod 4) be a prime, and k = (p + 1)/2. In this paper we prove that two things ha...
grantor: University of TorontoThis thesis studies the non-vanishing of the twisted modular...
Let λsym2f(n) be the n-th coefficient in the Dirichlet series of the symmetric square L-function ass...
Let π be a cuspidal representation of GLn(AF), where AF is the ring of adeles of a number field F
In this paper, we study the average behaviour of the coefficients of triple product L-functions and ...
The nonvanishing of Hecke Z-functions at the line Re (s) = 1 has proved to be useful in the theory ...
summary:We investigate the average behavior of the $n$th normalized Fourier coefficients of the $j$t...
Given two Hecke cusp forms f1 and f2 of SL(2,ℤ). Suppose there is a quadratic character χ...