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Showing 2007 · math.NTShow all
3 papers · 2 filters
math.NT2007
An elementary trigonometric equation
Victor H. Moll
A systematic study of the trigonometric equation A tan a + B sin b = C, where A, B and C^2 are rational numbers. The special case tan Pi/11 + 4 sin 3 Pi/11 = sqrt[11] appears in th…
math.NT2007
Asymptotic valuations of sequences satisfying first order recurrences
T. Amdeberhan, L. Medina, Victor H. Moll
Let t[n] be a sequence that satisfies a first order homogeneous recurrence t[n] = Q[n]*t[n-1], where Q is a polynomial with integer coefficients. The asymptotic behavior of the p-a…
math.NT2007★ 2 cited
The 2-adic valuation of a sequence arising from a rational integral
Tewodros Amdeberhan, Dante Manna, Victor H. Moll
We analyze properties of the 2-adic valuations of an integer sequence that originates from an explicit evaluation of a quartic integral. We also give a combinatorial interpretation…