3 citations · 6 across the 12 of their papers we have counts for
12 papers
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 . These numbers are the entries of a triangular array called the \emph{determinant Hosoya tria…
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 with coefficients in a number field to admit the unit circle as a natu…
Irreducibility of generalized Fibonacci polynomials
Rigoberto Florez, J. C. Saunders
A second order polynomial sequence is of Fibonacci-type (Lucas-type ) if its Binet formula has a structure similar to that for Fibonacci (Lucas)…
Endomorphisms of positive characteristic tori: entropy and zeta function
Keira Gunn, Khoa D. Nguyen, J. C. Saunders
Let be a finite field of order and characteristic . Let , , equipped with the discrete valuation for which…
The Euler Totient Function on Lucas Sequences
J. C. Saunders
In 2009, Luca and Nicolae proved that the only Fibonacci numbers whose Euler totient function is another Fibonacci number are , and . In 2015, Faye and Luca proved that the…
Density of sequences of the form in [0,1]
J. C. Saunders
In 2013, Strauch asked how various sequences of real numbers defined from trigonometric functions such as distributed themselves. Strauch's inquiry is mot…