6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.NT2023★ 1 cited
Apollonius circles and the number of irreducible factors of polynomials
Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat, Yann Bugeaud +2
We provide upper bounds for the sum of the multiplicities of the non-constant irreducible factors that appear in the canonical decomposition of a polynomial ,…
math.NT2016
Two-parameter families of uniquely extendable Diophantine triples
Mihai Cipu, Yasutsugu Fujita, Maurice Mignotte
Let A,K be positive integers and u=-2,-1,1 or 2. The main contribution of the paper is a proof that each of the D(u^2)-triples {K,A^2K+2uA,(A+1)^2K+2u(A+1)} has unique extension to…
math.AC2010★ 6 cited
On the Behaviour of Stanley Depth under Variable Adjunction
Mihai Cipu, Muhammad Imran Qureshi
Let be a polynomial ring in variables over the field . For integers consider the ideal in . In thi…