S. Frisch

activity

20072024

most citedInteger-valued polynomials on algebras

39 citations · 144 across the 16 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.RA2011★ 31 cited

A construction of integer-valued polynomials with prescribed sets of lengths of factorizations

Sophie Frisch

For an arbitrary finite set S of natural numbers greater 1, we construct an integer-valued polynomial f, whose set of lengths in Int(Z) is S. The set of lengths of f is the set of…

math.GR2011★ 4 cited

Sylow $p$ -groups of polynomial permutations on the integers mod $p^{n}$

Sophie Frisch, Daniel Krenn

We describe the Sylow $p$ -groups of the group of polynomial permutations of the integers mod $p^{n}$ .

math.NT2011★ 4 cited

Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples

Sophie Frisch, Leonid Vaserstein

A Pythagorean n-tuple is an integer solution of x_1^2+...+x_{n-1}^2=x_n^2. For n=4 and n=6, the Pythagorean n-tuples admit a parametrization by a single n-tuple of polynomials with…

A construction of integer-valued polynomials with prescribed sets of lengths of factorizations

Sylow p-groups of polynomial permutations on the integers mod pn

Polynomial parametrization of Pythagorean quadruples, quintuples and sextuples

Sylow $p$ -groups of polynomial permutations on the integers mod $p^{n}$