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An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions
the zero-counting formulae Dirichlet $L$-functions Dedekind zeta-functions Number Theory
2012/6/30
This paper contains new explicit upper bounds for the number of zeroes of Dirichlet L-functions and Dedekind zeta-functions in rectangles.
Distinct zeros and simple zeros of Dirichlet $L$-functions
simple zeros distinct zeros Dirichlet L-function
2012/6/29
We study the number of distinct zeros and simple zeros of Dirichlet $L$-function by using Asymptotic Large Sieve in this paper. In asymptotic terms, we prove that there are more than 66.43% of zeros o...
Dirichlet Green Functions for Parabolic Operators with Singular Lower-Order Terms
Green function Parabolic operator Initial-Dirichlet problem Boundary behavior Singular potential Singular drift term Radon measure Schrö dinger heat kernel Parabolic Kato class
2008/7/2
Dirichlet Green Functions for Parabolic Operators with Singular Lower-Order Terms.
In this paper diverse results on the location and number of zeros of derivatives of Dirichlet L-functions are proved.