Results 11 to 20 of about 13,182 (153)
Periodicity in the $p$-adic valuation of a polynomial
Journal of Number Theory, 2017 For a prime $p$ and an integer $x$, the $p$-adic valuation of $x$ is denoted by $\nu_{p}(x)$. For a polynomial $Q$ with integer coefficients, the sequence of valuations $\nu_{p}(Q(n))$ is shown to be either periodic or unbounded.
Medina, Luis A. +2 more
core +4 more sources
On the p-adic valuation of harmonic numbers
Journal of Number Theory, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carlo Sanna
openaire +5 more sources
On the p-adic valuation of stirling numbers of the first kind [PDF]
Acta Mathematica Hungarica, 2016 12 pages, 3 ...
LEONETTI, Paolo, SANNA, CARLO
openaire +7 more sources
p-Adic valuation of the Morgan–Voyce sequence and p-regularity
Proceedings - Mathematical Sciences, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +4 more sources
On the p-Adic Valuation of Third Order Linear Recurrence Sequences
Results in MathematicsIn a recent paper, Bilu et al. studied a conjecture of Marques and Lengyel on the $p$-adic valuation of the Tribonacci sequence. In this article, we study the $p$-adic valuation of third order linear recurrence sequences by considering a generalisation of the conjecture of Marques and Lengyel for third order linear recurrence sequences.
Deepa Antony, Rupam Barman
openaire +4 more sources
Exact p-adic valuations of Stirling numbers of the first kind
Journal of Number Theory, 2017 Abstract For any positive integer k and prime p, we define an explicit set A k , p of positive integers n, having positive upper and lower density, on which the p-adic valuation of the Stirling number of the first kind s ( n + 1 , k + 1 ) is a nondecreasing function of n and is given exactly by a simple formula.
Takao Komatsu, Paul Thomas Young
openaire +3 more sources
On p-adic valuations of colored p-ary partitions [PDF]
Monatshefte für Mathematik, 2018 Let $m\in\N_{\geq 2}$ and for given $k\in\N_{+}$ consider the sequence $(A_{m,k}(n))_{n\in\N}$ defined by the power series expansion $$ \prod_{n=0}^{\infty}\frac{1}{\left(1-x^{m^{n}}\right)^{k}}=\sum_{n=0}^{\infty}A_{m,k}(n)x^{n}. $$ The number $A_{m,k}(n)$ counts the number of representations of $n$ as sums of powers of $m$, where each summand has one
Ulas, Maciej, Żmija, Błażej
openaire +4 more sources
The p-adic valuations of Weil sums of binomials [PDF]
Journal of Number Theory, 2017 26 ...
Katz, Daniel J. +3 more
openaire +3 more sources
On p-adic valuations of certain m colored p-ary partition functions [PDF]
The Ramanujan Journal, 2020 AbstractLet $$k\in \mathbb {N}_{\ge 2}$$ k ∈ N ≥ 2 and for given $$m\in \mathbb {Z}{\setminus }\{0\}$$
Maciej Ulas, Błażej Żmija
openaire +4 more sources
Trace functions and Galois invariant p-adic measures [PDF]
, 2006 Let p be a prime number, Qp the field of p-adic numbers, Qp a fixed algebraic closure of Qp, and Cp the completion of Qp with respect to the p-adic valuation.
Vâjâitu, Marian, Zaharescu, Alexandru
core +2 more sources