On the Topology of the Sets of the Real Projections of the Zeros of Exponential Polynomials

2014 ◽  
pp. 33-55 ◽  
Author(s):  
Gaspar Mora
Keyword(s):  
Exponential Polynomials ◽  
The Real ◽  
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.

Sign in / Sign up

Export Citation Format

Share Document