Alexandra Florea Negative moments of the Riemann zeta function (NTWS 140) 50:11 Ananth Shankar Canonical heights on Shimura varieties and the Andre-Oort conject 55:25 Alexandra Shlapentokh Defining integers using unit groups (NTWS 161) 40:14 Amir Shpilka Points, lines and polynomial identi...
Mathematics The Number of Zeros of a Polynomial in a Disk as a Consequence of Coefficient Inequalities with Multiple Reversals EAST TENNESSEE STATE UNIVERSITY Robert Gardner BryantDerekIn this thesis, we explore the effect of restricting the coefficients of polynomials on the bounds for the number of...
of moduli spaces of rational curves 54:26 Zeros of linear combinations of Dirichlet L-functions on the critical line 48:49 The rank of elliptic curves 40:40 A Weyl-type inequality for irreducible elements in function fields, with applica 49:34 BALOG ANTAL_ ON THE L1 NORM OF TRIGONOMETRIC ...
B.N. Datta: Matrix equations, matrix polynomials and the number of zeros of a polynomial inside the unit circle, Linear and Multilinear Alg. 9 (1980), 63–68.Datta,B.N.Matrix equations, matrix polynomials and the number of zeros of a polynomial inside the unit circle.Linear and ...
摘要: Generalizing several previous results in the literature on rational harmonic functions, we derive bounds on the maximum number of zeros of functions , which depend on both and . Furthermore, we prove that any function that attains one of these upper bounds is regular....
We give the upper bound 2 ( d - 1 ) ( n + 1 ) / 2 for the expected number of critical points of a normal random polynomial with degree at most d and n variables. Using the large deviation principle for the spectral value of large random matrices we obtain the bound K exp - n ...
SECTION 3.6 COMPLEX ZEROS; COMPLEX ZEROS; FUNDAMENTAL THEOREM OF ALGEBRA FUNDAMENTAL THEOREM OF ALGEBRA. Polynomial Functions. Polynomial is an expression that is either a real number, a variable, or a product of real numbers and variables with whole number. ...
Counting polynomials with a given number of zeros in a finite field Let denote a polynomial ring in an indeterminate X over a Unite field Exact formulae are derived for (i) the number of polynomials of degree n in with a specified number k of zeros in and (ii) the average number of ...
Non-real Zeros of Derivatives of Real Entire Functions and the Pólya-Wiman Conjectures. A function f is in the class $ V_2p $ iff $ f(z) = e^{-az^{2p+2}}g(z) $ where a ≥ 0 and g is a constant multiple of a real entire function of genus ≤ 2 p... Edwards,Stephanie,...
摘要: Let alf α2,, be a sequence of dependent normal random variables with mean zero, variance one and the correlation between any two random variables is p, 0< p< l. In this paper the average number of real zeros of Σ*= i akkpxk, 0^ p< oo is estimated for large n and this...