J. C. Saunders

activity

20132022

most citedIrreducibility of generalized Fibonacci polynomials

3 citations · 6 across the 12 of their papers we have counts for

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3 papers · 1 filter

math.NT2022

Primes and composites in the determinant Hosoya triangle

Hsin-Yun Ching, Rigoberto Flórez, F. Luca +2

In this paper, we look at numbers of the form $H_{r, k} := F_{k - 1} F_{r - k + 2} + F_{k} F_{r - k}$ . These numbers are the entries of a triangular array called the \emph{determinant Hosoya tria…

math.NT2022

A general criterion for the Pólya-Carlson dichotomy and application

Jason P. Bell, Keira Gunn, Khoa D. Nguyen +1

We prove a general criterion for an irrational power series $f (z) = n = 0 \sum \infty a_{n} z^{n}$ with coefficients in a number field $K$ to admit the unit circle as a natu…

math.NT2022★ 3 cited

Irreducibility of generalized Fibonacci polynomials

Rigoberto Florez, J. C. Saunders

A second order polynomial sequence is of Fibonacci-type $F_{n}$ (Lucas-type $L_{n}$ ) if its Binet formula has a structure similar to that for Fibonacci (Lucas)…