Consecutive square-free values for some polynomials
Abstract
In this paper we study the distribution of consecutive square-free numbers of the forms x2+y2+z+1, x2+y2+z+2 and x2+y2+z2+z+1, x2+y2+z2+z+2, respectively. We establish asymptotic formulas for each of these two cases.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.