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
SN - 0004-9727
VL - 46
SP - 401
EP - 412
JO - Bulletin of the Australian Mathematical Society
JF - Bulletin of the Australian Mathematical Society
IS - 3
ER -