i] have greatest common divisor 1, we have [zeta] = 1 as a pole of order N + 1, and the other poles have order strictly less.

N+1]] be a list of integers with greatest common divisor equal to 1, and let

Let n and k be positive integers, n > k, and let d be their greatest

common divisor.

Among the topics are multivariate ultrametric root counting, efficient polynomial system solving by numerical methods, a search for an optimal start system for numerical homotopy continuation, dense fewnomials, and the numerical greatest

common divisor of univariate polynomials.

Let (a, b) = d denotes the Greatest

Common Divisor of a and b, and a = d x [a.

t]] denote the greatest

common divisor and the least common multiple of any positive integers [x.

Assume that (u, v) is the greatest

common divisor of u and v, then we have

where (s(n),m) denotes the greatest

common divisor of s(n) and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and [epsilon] is any positive number.

The nonsingularity criterion is related to the greatest

common divisors of two polynomials, henceforth denoted by gcd(*, *).

Among the topics are greatest

common divisors, integer multiples and exponents, quotients of polynomial rings, divisibility and factorization in integral domains, subgroups of cyclic groups, cosets and Lagrange's theorem, the fundamental theorem of finite abelian groups, and check digits.

A professor from Pierre and Marie Curie University presents an algorithm for computing the radius of convergence function for first order differential equations, and a professor from the University of North Texas proves the existence of greatest

common divisors and factorization in rings of non-Archimedean entire functions.

This means that all numbers that are not multiples of 13 have no

common divisors with 13 except for the number one.