Add to ORKGAbstract: The connection between the values of the L-functions at the point s=1/2 and Gauss sums which leads to the sufficient condition for the validity of the equality L(1/2,χ)=0 is studied. The necessary conditions for the validity of the Extended Riemann Hypothesis for the L-fuctions are given in terms of the signs of the even-order derivatives of the fuctionn ξ(s,χ) which is an analogue of the Riemann ξ-function ξ(s). All the results are applied to the L-functions L(s,χ)$ with a character χ being equal to a Legendre symbol.Note: Research direction:Mathematical problems and theory of numerical method
Abstract Speiser showed that the Riemann hypothesis is equivalent to the absence of non-trivial zero...
In 2011, M.R. Murty and V.K. Murty [10] proved that if L(s, χD) is the Dirichlet L-series attached a...
We estimate the 1-level density of low-lying zeros of L(s, χ) with χ ranging over primitive Dirichle...
Abstract. New results associated with the Extended Riemann Hypothesis on the zeros of the Dirichlet ...
Abstract: New theoretical and numerical investigations of the following two problems assoc...
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...
we allow the backward heat equation to deform the zeros of qua-dratic Dirichlet L-functions. There i...
We investigate the pair correlation function of the zeros of Dirichlet L-functions, namely F((alpha)...
In this paper, we exhibit upper and lower bounds with explicit constants for some objects related to...
For many L-functions of arithmetic interest, the values on or close to the edge of the region of abs...
For many L-functions of arithmetic interest, the values on or close to the edge of the region of abs...
Fung Yiu-cho.Bibliography: leaves 93-114Thesis (M.Phil.)--Chinese University of Hong Kong, 198
We study the 1-level density of low-lying zeros of Dirichlet L-functions attached to real primitive ...
We study the 1-level density of low-lying zeros of Dirichlet L-functions attached to real primitive ...
Integral equalities involving integrals of the logarithm of the Riemann ς-function with exponential ...
Abstract Speiser showed that the Riemann hypothesis is equivalent to the absence of non-trivial zero...
In 2011, M.R. Murty and V.K. Murty [10] proved that if L(s, χD) is the Dirichlet L-series attached a...
We estimate the 1-level density of low-lying zeros of L(s, χ) with χ ranging over primitive Dirichle...
Abstract. New results associated with the Extended Riemann Hypothesis on the zeros of the Dirichlet ...
Abstract: New theoretical and numerical investigations of the following two problems assoc...
The classical Linnik-Sprindzuk phenomenon shows that the Riemann Hypothesis for Dirichlet L-function...
we allow the backward heat equation to deform the zeros of qua-dratic Dirichlet L-functions. There i...
We investigate the pair correlation function of the zeros of Dirichlet L-functions, namely F((alpha)...
In this paper, we exhibit upper and lower bounds with explicit constants for some objects related to...
For many L-functions of arithmetic interest, the values on or close to the edge of the region of abs...
For many L-functions of arithmetic interest, the values on or close to the edge of the region of abs...
Fung Yiu-cho.Bibliography: leaves 93-114Thesis (M.Phil.)--Chinese University of Hong Kong, 198
We study the 1-level density of low-lying zeros of Dirichlet L-functions attached to real primitive ...
We study the 1-level density of low-lying zeros of Dirichlet L-functions attached to real primitive ...
Integral equalities involving integrals of the logarithm of the Riemann ς-function with exponential ...
Abstract Speiser showed that the Riemann hypothesis is equivalent to the absence of non-trivial zero...
In 2011, M.R. Murty and V.K. Murty [10] proved that if L(s, χD) is the Dirichlet L-series attached a...
We estimate the 1-level density of low-lying zeros of L(s, χ) with χ ranging over primitive Dirichle...