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New tests of the correspondence between unitary eigenvalues and the zeros of Riemann’s zeta function
Statistical tests random unitary matrix Riemann zeta function data set
2015/7/14
This paper presents some new statistical tests and new conjectures regarding
the correspondence between the eigenvalues of random unitary matrices and
the zeros of Riemann’s zeta function. Global fe...
Some results on zeros distributions and uniqueness of derivatives of difference polynomials
Zeros difference polynomials derivatives value sharing uniqueness
2011/8/25
Abstract: We consider the zeros distributions on the derivatives of difference polynomials of meromorphic functions, and present some results which can be seen as the discrete analogues of Hayman conj...
On the zeros of Weng zeta functions for Chevalley groups
Weng zeta functions Chevalley groups
2010/11/23
We prove that all but finitely many zeros of Weng's zeta function for a Chevalley group defined over $\Q$ are simple and on the critical line.
Zeros of nonpositive type of generalized Nevanlinna functions with one negative square
Nevanlinna functions negative square
2010/11/15
A generalized Nevanlinna function $Q(z)$ with one negative square has precisely one generalized zero of nonpositive type in the closed extended upper halfplane. The fractional linear transformation d...
Arguments of zeros of highly log concave polynomials
Arguments of zeros highly log concave polynomials
2010/12/14
For a real polynomial p =Pn i=0 cixi with no negative coefficients and n ≥ 6, let β(p) = infn−1 i=1 c2i /ci+1ci−1 (so β(p) ≥ 1 entails that p is log concave). If β(p) > 1.45 . . . , then a...
On a New Result on the Existence of Zeros due to Ricceri
Zeros dual space Ricceri arbitrary topological spaces
2009/1/22
The purpose of this short paper is to extend a recent result of Ricceri, on the existence of zeros of functions with values in a dual space, to the existence of solutions to inclusions with values in ...
Asymptotic Approximationof Jacobi Functions and Their Zeros with Error Bounds
Asymptotic approximation Jacobi function Zero Error bounds
2007/12/12
The study of zeros of orthogonal functions is an important topic. In this paper, by improving the middle variable $x(t)$, we've got a new form of asymptotic approximation, completed with error bounds,...
On Cauchy's Bound for Zeros of a Polynomial
Zeros polynomials upper bound moduli refinement
2010/2/26
In this note, we improve upon Cauchy's classical bound, and upon some recent bounds for the moduli of the zeros of a polynomial.
In this paper diverse results on the location and number of zeros of derivatives of Dirichlet L-functions are proved.