Add to ORKGFix a Hecke cusp form $f$, and consider the $L$-function of $f$ twisted by a primitive Dirichlet character. As we range over all primitive characters of a large modulus $q$, what is the average behavior of the square of the central value of this $L$-function? Stefanicki proved an asymptotic valid only for $q$ having very few prime factors, and we extend this to almost all $q$
We prove that more than nine percent of the central values $L(1/2,\chi_p)$ are non-zero, where $p\eq...
Abstract. We study the 2k-th power moment of Dirichlet L-functions L(s, χ) at the centre of the crit...
Abstract. Let K be a number field containing the n-th roots of unity for some n> 3. We prove a un...
Abstract. We study the average of the product of the central values of two L-functions of modular fo...
We study the second moment of Dirichlet L-functions to a large prime modulus q twisted by the square...
Abstract. We obtain the formula for the twisted harmonic second moment of the L-functions associated...
Moments of families of L-functions provide understanding of their size and also about their distribu...
Individual values of L-functions inside the critical strip have great arithmetic significance (such ...
We compute the first moment of twisted Hecke L-functions of weight 2 and prime power level going to ...
We prove that given a Hecke-Maass form f for SL(2, Z) and a sufficiently large prime q, there exists...
We prove that given a Hecke-Maass form f for SL(2, Z) and a sufficiently large prime q, there exists...
In the paper, a limit theorem for the argument of twisted with Dirichlet character L-functions of el...
level 1 and weight k. For =(z)> 0 we have a Fourier expansion of f: f(z) = n≥
In the paper, a limit theorem for the argument of twisted with Dirichlet character L-functions of el...
Abstract. We study the nonvanishing of twists of automorphic L-functions at the centre of the critic...
We prove that more than nine percent of the central values $L(1/2,\chi_p)$ are non-zero, where $p\eq...
Abstract. We study the 2k-th power moment of Dirichlet L-functions L(s, χ) at the centre of the crit...
Abstract. Let K be a number field containing the n-th roots of unity for some n> 3. We prove a un...
Abstract. We study the average of the product of the central values of two L-functions of modular fo...
We study the second moment of Dirichlet L-functions to a large prime modulus q twisted by the square...
Abstract. We obtain the formula for the twisted harmonic second moment of the L-functions associated...
Moments of families of L-functions provide understanding of their size and also about their distribu...
Individual values of L-functions inside the critical strip have great arithmetic significance (such ...
We compute the first moment of twisted Hecke L-functions of weight 2 and prime power level going to ...
We prove that given a Hecke-Maass form f for SL(2, Z) and a sufficiently large prime q, there exists...
We prove that given a Hecke-Maass form f for SL(2, Z) and a sufficiently large prime q, there exists...
In the paper, a limit theorem for the argument of twisted with Dirichlet character L-functions of el...
level 1 and weight k. For =(z)> 0 we have a Fourier expansion of f: f(z) = n≥
In the paper, a limit theorem for the argument of twisted with Dirichlet character L-functions of el...
Abstract. We study the nonvanishing of twists of automorphic L-functions at the centre of the critic...
We prove that more than nine percent of the central values $L(1/2,\chi_p)$ are non-zero, where $p\eq...
Abstract. We study the 2k-th power moment of Dirichlet L-functions L(s, χ) at the centre of the crit...
Abstract. Let K be a number field containing the n-th roots of unity for some n> 3. We prove a un...