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Bounds on the $p$-adic valuation of the factorial, hyperfactorial and superfactorial

open access: yes
In this article, we investigate the $p$-adic valuation $ν_p$ of quantities such as the factorial $n!$, the hyperfactorial $H(n)$ or the superfactorial $\mathrm{sf}(n)$. In particular, we obtain simple bounds (both upper and lower) for $ν_p$, using the Legendre-de Polignac formula.
openaire   +2 more sources

Abelian varieties of prescribed order over finite fields. [PDF]

open access: yesMath Ann
van Bommel R   +4 more
europepmc   +1 more source

3D Genome Reconstruction from Partially Phased Hi-C Data. [PDF]

open access: yesBull Math Biol
Cifuentes D   +4 more
europepmc   +1 more source

Congruent numbers with many prime factors. [PDF]

open access: yesProc Natl Acad Sci U S A, 2012
Tian Y.
europepmc   +1 more source

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