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Zeros of p ‐Adic Exponential Polynomials II
Author(s) -
van der Poorten A. J.,
Rumely Robert S.
Publication year - 1987
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-36.1.1
Subject(s) - mathematics , exponential polynomial , exponential function , polynomial , convergence (economics) , order (exchange) , polynomial function theorems for zeros , exponential growth , upper and lower bounds , divided differences , combinatorics , pure mathematics , mathematical analysis , matrix polynomial , square free polynomial , finance , economics , economic growth
We give a bound for the total number of zeros of a p ‐adic exponential polynomial in its disc of convergence. For an exponential polynomial of order n defined over Q p , with p > n ⩾ 3, the bound is ( n − 2) p . Similar bounds are obtained in general.