Monogenity and power integral bases: recent developments
I Gaál - Axioms, 2024 - mdpi.com
Monogenity is a classical area of algebraic number theory that continues to be actively
researched. This paper collects the results obtained over the past few years in this area …
researched. This paper collects the results obtained over the past few years in this area …
GENERALIZED WALL-SUN-SUN PRIMES AND MONOGENIC POWER-COMPOSITIONAL TRINOMIALS.
L Jones - Albanian Journal of Mathematics, 2023 - projecteuclid.org
GENERALIZED WALL-SUN-SUN PRIMES AND MONOGENIC POWER-COMPOSITIONAL
TRINOMIALS LENNY JONES Professor Emeritus, Department of Mathe Page 1 ALBANIAN …
TRINOMIALS LENNY JONES Professor Emeritus, Department of Mathe Page 1 ALBANIAN …
A New Condition for -Wall–Sun–Sun Primes
L Jones - Taiwanese Journal of Mathematics, 2024 - projecteuclid.org
Let $ k\geq 1$ be an integer, and let $(U_ {n}) $ be the Lucas sequence of the first kind
defined by\[U_ {0}= 0,\quad U_ {1}= 1\quad\textrm {and}\quad U_ {n}= kU_ {n-1}+ U_ {n …
defined by\[U_ {0}= 0,\quad U_ {1}= 1\quad\textrm {and}\quad U_ {n}= kU_ {n-1}+ U_ {n …
Fixed points of K-Fibonacci sequences
B Benfield, O Lippard - arXiv preprint arXiv:2404.08194, 2024 - arxiv.org
A $ K $-Fibonacci sequence is a binary recurrence sequence where $ F_0= 0$, $ F_1= 1$,
and $ F_n= K\cdot F_ {n-1}+ F_ {n-2} $. These sequences are known to be periodic modulo …
and $ F_n= K\cdot F_ {n-1}+ F_ {n-2} $. These sequences are known to be periodic modulo …
Connecting Zeros in Pisano Periods to Prime Factors of -Fibonacci Numbers
B Benfield, O Lippard - arXiv preprint arXiv:2407.20048, 2024 - arxiv.org
The Fibonacci sequence is periodic modulo every positive integer $ m> 1$, and perhaps
more surprisingly, each period has exactly 1, 2, or 4 zeros that are evenly spaced, which …
more surprisingly, each period has exactly 1, 2, or 4 zeros that are evenly spaced, which …