Results 11 to 20 of about 639,721 (248)
Power Fibonacci sequences in quadratic integer modulo m [PDF]
Notes on Number Theory and Discrete MathematicsThe power Fibonacci sequence in $\mathbb{Z}_m[\sqrt{\delta}]$ is defined as a Fibonacci sequence \linebreak $F_n = F_{n-1} + F_{n-2}$ where $F_0 = 1$ and $F_1 = a $, such that $a\in \mathbb{Z}_m[\sqrt{\delta}]$ and $F_n\equiv a^n \:(\mathrm{mod}\: m ...
Paul Ryan A. Longhas +3 more
semanticscholar +3 more sources
MoD Tools: regulatory motif discovery in nucleotide sequences from co-regulated or homologous genes [PDF]
Nucleic Acids Res., 2006 Understanding the complex mechanisms regulating gene expression at the transcriptional and post-transcriptional levels is one of the greatest challenges of the post-genomic era.
G. Pavesi +5 more
semanticscholar +3 more sources
Almost supplementary difference sets and quaternary sequences with optimal autocorrelation [PDF]
Cryptography and Communications, 2019 We introduce almost supplementary difference sets (ASDS). For odd m, certain ASDS in ℤm\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs ...
J. Armario, D. Flannery
semanticscholar +4 more sources
Periodicity of Somos sequences [PDF]
, 1992 Various sequences related to one introduced by Michael Somos are shown to be periodic mod m \bmod m for every m m , although the problem remains open for the original sequence.
Raphael M. Robinson
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Reformulating the p-adic Littlewood Conjecture in terms of infinite loops mod p [PDF]
, 2023 This paper introduces the concept of infinite loops mod n and discusses their properties. In particular, it describes how the continued fraction expansions of infinite loops behave poorly under multiplication by the integer n.
Blackman, John
core +1 more source
Divisibility Properties of Recurrent Sequences [PDF]
, 2008 Let m, r ∈ N. We will show, that the recurrent sequences xn = xnrn−1 + 1 (mod g), xn = xn!n−1 + 1 (mod g) and xn = xrnn−1 + 1 (mod g) are periodic modulo m, where m ∈ N, and we will find some estimations of periods and pre ...
Plankis, T., Plankis, Tomas,
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A note on the Fibonacci m-step sequences modulo q [PDF]
, 2022 We briefly discuss a congruence relation of the subsequence of the Fibonacci m-step numbers. Then we use the obtained result to establish many identities regarding the Tribonacci numbers mod q with indices in arithmetic progression and connect them with ...
Gryszka, Karol
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Existence of Auslander–Reiten sequences in subcategories [PDF]
, 2011 This paper studies the existence of Auslander–Reiten sequences in subcategories of mod(Λ), where Λ is a finite dimensional algebra over a field. The two main theorems give necessary and sufficient conditions for the existence of Auslander–Reiten ...
Puiman Ng, Ng, Puiman
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, 1996 Let m, n1, n2, …, nk be positive integers. In this paper we give several sufficient conditions that there exist integers a1, a2, …, ak, such that every integer belongs to at most m residue classes of {ai mod ni}ki ...
Chen, Yong-gao
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The congruence xn ≡ – an (mod m): Solvability and related OEIS sequences [PDF]
We study the solvability of the congruence xn =-an (mod m), where n, m E Z`, a E Z, and gcd (a, m) = 1. Our motivation arises from computer experiments concerning a geometric property of the roots of the congruence xn + yn = 0 (mod p), where n E Z` and p
Timo Tossavainen +9 more
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