Results 11 to 20 of about 25,324 (178)
2-Adic valuations of Stirling numbers of the first kind [PDF]
International Journal of Number Theory, 2019 Let [Formula: see text] and [Formula: see text] be positive integers. We denote by [Formula: see text] the 2-adic valuation of [Formula: see text]. The Stirling numbers of the first kind, denoted by [Formula: see text], count the number of permutations of [Formula: see text] elements with [Formula: see text] disjoint cycles.
Qiu, Min, Hong, Shaofang
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Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
, 2013 We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
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2-adic Valuations of Quadratic Sequences
, 2020 Properties of 2-adic valuation sequences for general quadratic polynomials with integer coefficients are determined directly from the coefficients. These properties include boundedness or unboundedness, periodicity, and valuations at terminating nodes. We completely describe the periodic sequences in the bounded case.
Boultinghouse, Will +3 more
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On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]
, 2005 Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
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$p$-adic valuation of harmonic sums and their connections with Wolstenholme primes
, 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 ...
Carofiglio, Leonardo +2 more
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On the 2-adic valuation of a class of elementary symmetric functions of 1, 1/2, …, 1/n
四川大学学报. 自然科学版, 2023 For any integers n\ge k\ge 1, we in this paper consider the 2-adic valuation of H(n, k), which is defined to be the k-th elementary symmetric function of 1, 1/2,..., 1/n. Let p be a prime.
QIU Min, LIN Zong-Bing, TAN Qian-Rong
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On the 2-Adic Valuation of Generalized Fibonacci Sequences
, 2022 See the abstract in the attached pdf.
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On the p-adic valuations of some special Stirling numbers of the second kind
四川大学学报. 自然科学版, 2022 Let k and n be positive integers. The Stirling numbers of the second kind is defined as the number of ways to partition a set of n elements into exactly k non-empty subsets, denoted by S(n,k).
JI Qing-Bing, LU Jian
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2-Adic valuations of certain ratios of products of factorials and applications
Linear Algebra and its Applications, 2007 LaTeX; 27 pages; author name ...
Friedland, S, Krattenthaler, Christian
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The 2-adic valuation of the coefficients of a polynomial
, 2003 In this paper we compute the 2-adic valuations of some polynomials associated with the definite integral $\int_{0}^{\infty} \frac{dx}{(x^4+2*a*x^2+1)^(m+1)}$
Boros, G., Moll, V., Shallit, J.
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