Results 21 to 30 of about 25,597,246 (186)
p-Adic and Group-Valued Probabilities
p-Adic and Group-Valued Probabilities.
Khrennikov, Andrei,
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New Results on the p-Adic Valuation of Stirling Numbers
See the abstract in the attached pdf.
Adelberg, Arnold, Lengyel, Tamás
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On Periodic Points of the Order of Appearance in the Fibonacci Sequence
Let ( F n ) n ≥ 0 be the Fibonacci sequence. The order of appearance z ( n ) of an integer n ≥ 1 is defined by z ( n ) = min { k ≥ 1 : n ∣ F k } .
Eva Trojovská
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Let ( F n ) n ≥ 0 be the sequence of the Fibonacci numbers. The order (or rank) of appearance z ( n ) of a positive integer n is defined as the smallest positive integer m such that n divides F m .
Eva Trojovská
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On the $p$-adic valuation of a hyperfactorial
In this document will be proved a formula to compute the $p$-adic valuation of a hyperfactorial. We call a hyperfactorial the result of multiplying a given number of consecutive integers from 1 to the given number,each raised to its own power. For example, the hyperfactorial of $n$ is equal to: $1^1 2^2 3^3\dots n^n$ .
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On Diophantine Equations Related to Order of Appearance in Fibonacci Sequence
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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On the p-adic valuations of some special Stirling numbers of the second kind
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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Valuations of p-adic regulators of cyclic cubic fields
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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Improved Cryptoanalysis of the Self-shrinking p-adic Cryptographic Generator [PDF]
The Self-shrinking p-adic cryptographic generator (SSPCG) is a fast software stream cipher. Improved cryptoanalysis of the SSPCG is introduced. This cryptoanalysis makes more precise the length of the period of the generator.
Stoyanov, Borislav
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On the 2-adic valuation of a class of elementary symmetric functions of 1, 1/2, …, 1/n
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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