Results 161 to 170 of about 25,324 (178)

The p -Adic Valuation of Lucas Sequences

, 2016
Let (un)n≥0 be a nondegenerate Lucas sequence with characteristic polynomial X2 − aX − b, for some relatively prime integers a and b. For each prime number p and each positive integer n, we give simple formulas for the p-adic valuation νp(un), in terms ...
Carlo Sanna
exaly   +1 more source

On the p-adic valuation of harmonic numbers [PDF]

Journal of Number Theory, 2016
For any prime number p, let Jp be the set of positive integers n such that p divides the numerator of the n-th harmonic number Hn. An old conjecture of Eswarathasan and Levine states that Jp is finite.
Carlo Sanna
exaly   +2 more sources

On the p-Adic Valuation of Third Order Linear Recurrence Sequences

Results in Mathematics
In 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 ...
Deepa Antony, Rupam Barman, Barman Rupam   +2 more
exaly   +2 more sources

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On the 2-adic valuations of central L-values of elliptic curves

Journal of Number Theory, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

p -Regularity of the p -Adic Valuation of the Fibonacci Sequence [PDF]

, 2015
peer reviewedWe show that the p-adic valuation of the sequence of Fibonacci numbers is a p-regular sequence for every prime p. For p≠2,5, we determine that the rank of this sequence is α(p)+1, where α(m) is the restricted period length of the Fibonacci ...
Luis A Medina, Eric Rowland
exaly   +1 more source

The p -adic Valuation of Eulerian Numbers: Trees and Bernoulli Numbers

Experimental Mathematics, 2015
Francis N Castro, OSCAR E Gonzalez, Luis A Medina   +2 more
exaly  

p-adic valuation of exponential sums associated to trinomials and some consequences

P-Adic Numbers, Ultrametric Analysis, and Applications, 2017
Francis N Castro
exaly  

On the 2-Adic Valuations of the Truncated Polylogarithm Series

The Fibonacci Quarterly, 1999
openaire   +1 more source

On the $${\ell}$$ ℓ -adic valuation of the cardinality of elliptic curves over finite extensions of $${\mathbb{F}_{q}}$$ F q

Archiv Der Mathematik, 2015
Josep M Miret, Jordi Pujolàs, Javier Valera   +2 more
exaly  

On the 2-adic valuation of the cardinality of elliptic curves over finite extensions of $$\mathbb {F}_{\varvec{q}} $$ F q

Archiv Der Mathematik, 2018
Josep M Miret, Jordi Pujolàs, Javier Valera   +2 more
exaly