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Explicit formulas for the $p$-adic valuations of Fibonomial coefficients II
AIMS Mathematics, 2020 updated and ...
Phakhinkon Phunphayap +1 more
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New Results on the p-Adic Valuation of Stirling Numbers
, 2021 See the abstract in the attached pdf.
Adelberg, Arnold, Lengyel, Tamás
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A generalization of arithmetic derivative to p-adic fields and number fields [PDF]
Notes on Number Theory and Discrete MathematicsThe arithmetic derivative is a function from the natural numbers to itself that sends all prime numbers to 1 and satisfies the Leibniz rule. The arithmetic partial derivative with respect to a prime p is the p-th component of the arithmetic derivative ...
Brad Emmons, Xiao Xiao
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On the closed subfields of Q¯~p${\tilde{\bar Q}}_p$
Open Mathematics, 2016 Let p be a prime number, and let Q¯~p$\bf{\tilde{\bar {\text Q}}}_p$ be the completion of Q with respect to the pseudovaluation w which extends the p-adic valuation vp. In this paper our goal is to give a characterization of closed subfields of Q¯~p$\bf{\
Achimescu Sever +2 more
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Valuations of p-adic regulators of cyclic cubic fields
Journal of Number Theory, 2016 We compute the $p$-adic regulator of cyclic cubic extensions of $\mathbb Q$ with discriminant up to $10^{16}$ for ...
Hofmann, Tommy, Zhang, Yinan
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Displayed equations for Galois representations [PDF]
, 2012 The Galois representation associated to a p-divisible group over a complete noetherian normal local ring with perfect residue field is described in terms of its Dieudonn\'e display. As a corollary we deduce in arbitrary characteristic Kisin's description
Fontaine, Lau, Messing, Seydi, Tate
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On Diophantine Equations Related to Order of Appearance in Fibonacci Sequence
Mathematics, 2019 Let F n be the nth Fibonacci number. Order of appearance z ( n ) of a natural number n is defined as smallest natural number k, such that n divides F k .
Pavel Trojovský
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The p-adic valuation of k-central binomial coefficients [PDF]
Acta Arithmetica, 2009 11 ...
Straub, Armin +2 more
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p-adic valuation of harmonic sums and their connections with Wolstenholme primes
Indian Journal of Pure and Applied Mathematics, 2023 We explore a conjecture posed by Eswarathasan and Levine on the distribution of $p$-adic valuations of harmonic numbers $H(n)=1+1/2+\cdots+1/n$ that states that the set $J_p$ of the positive integers $n$ such that $p$ divides the numerator of $H(n)$ is finite.
Carofiglio, Leonardo +2 more
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Binomial expansions modulo prime powers
International Journal of Mathematics and Mathematical Sciences, 1980 In this note a result is given and proved concerning binomial expansions modulo prime powers. In the proof congruence modulo prime powers is generalized to the rational numbers via valuations.
Paul W. Haggard, John O. Kiltinen
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