Asymptotic valuations of sequences satisfying first order recurrences
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- by Tewodros Amdeberhan, Luis A. Medina and Victor H. Moll PDF
- Proc. Amer. Math. Soc. 137 (2009), 885-890 Request permission
Abstract:
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. We describe the asymptotic behavior of the $p$-adic valuation of $t_n$.References
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- Serge Lang, Algebra, 3rd ed., Graduate Texts in Mathematics, vol. 211, Springer-Verlag, New York, 2002. MR 1878556, DOI 10.1007/978-1-4613-0041-0
- M. Ram Murty, Introduction to $p$-adic analytic number theory, AMS/IP Studies in Advanced Mathematics, vol. 27, American Mathematical Society, Providence, RI; International Press, Somerville, MA, 2002. MR 1913413, DOI 10.1090/amsip/027
Additional Information
- Tewodros Amdeberhan
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
- MR Author ID: 260444
- Email: tamdeberhan@math.tulane.edu
- Luis A. Medina
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
- MR Author ID: 826669
- Email: lmedina@math.tulane.edu
- Victor H. Moll
- Affiliation: Department of Mathematics, Tulane University, New Orleans, Louisiana 70118
- Email: vhm@math.tulane.edu
- Received by editor(s): September 10, 2007
- Received by editor(s) in revised form: March 18, 2008
- Published electronically: September 24, 2008
- Communicated by: Martin Lorenz
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 885-890
- MSC (2000): Primary 11B37; Secondary 11B50, 11B83
- DOI: https://doi.org/10.1090/S0002-9939-08-09580-4
- MathSciNet review: 2457427