TY - JOUR

T1 - On the number of zeros of exponential polynomials and related questions

AU - Van Der Poorten, A. J.

AU - Shparlinski, I. E.

PY - 1992/12

Y1 - 1992/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84971790260&partnerID=8YFLogxK

U2 - 10.1017/S0004972700012065

DO - 10.1017/S0004972700012065

M3 - Article

AN - SCOPUS:84971790260

VL - 46

SP - 401

EP - 412

JO - Bulletin of the Australian Mathematical Society

JF - Bulletin of the Australian Mathematical Society

SN - 0004-9727

IS - 3

ER -