Chapter Twelve Asymptotic Location of the Zeros of Exponential Polynomials

1963 ◽  
pp. 393-439
Keyword(s):  
Exponential Polynomials ◽  
Zeros Of Exponential Polynomials

scholarly journals On the number of zeros of exponential polynomials and related questions

1992 ◽  
Vol 46 (3) ◽  
pp. 401-412 ◽  
Author(s):  
A.J. van der Poorten ◽  
I.E. Shparlinski
Keyword(s):  
Power Series ◽  
Differential Equations ◽  
Zeros Of Polynomials ◽  
Number Of Solutions ◽  
Exponential Polynomials ◽  
Number Of Zeros ◽  
Polynomial Coefficients ◽  
Congruence Modulo ◽  
Linear Differential ◽  
Zeros Of Exponential Polynomials

We apply Straßmann's theorem to p–adic power series satisfying linear differential equations with polynomial coefficients and note that our approach leads to our estimating the number of integer zeros of polynomials on a given interval and thence to an investigation of the number of p–adic small values of a function on such an interval, that is, of the number of solutions of a congruence modulo pr.

On the integer zeros of exponential polynomials

1993 ◽  
Vol 23 (3-4) ◽  
pp. 201-211
Author(s):  
C. WardHenson ◽  
Lee A. Rubel ◽  
Lou Van Den Dries ◽  
Michael F. Singer
Keyword(s):  
Exponential Polynomials ◽  
Zeros Of Exponential Polynomials
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