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2011 An observation on generating functions with an application to a sum of secant powers
Jeffrey Mudrock
Involve 4(2): 117-125 (2011). DOI: 10.2140/involve.2011.4.117

Abstract

Suppose that P(x), Q(x)[x] are two relatively prime polynomials, and that P(x)Q(x)=n=0anxn has the property that an for all n. We show that if Q(1α)=0, then α is an algebraic integer. Then, we show that this result can be used to provide a solution to Problem 11213(b) of the American Mathematical Monthly (2006).

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Jeffrey Mudrock. "An observation on generating functions with an application to a sum of secant powers." Involve 4 (2) 117 - 125, 2011. https://doi.org/10.2140/involve.2011.4.117

Information

Received: 19 July 2010; Revised: 1 February 2011; Accepted: 2 February 2011; Published: 2011
First available in Project Euclid: 20 December 2017

zbMATH: 1243.11101
MathSciNet: MR2876193
Digital Object Identifier: 10.2140/involve.2011.4.117

Subjects:
Primary: 11R04
Secondary: 11R18

Rights: Copyright © 2011 Mathematical Sciences Publishers

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Vol.4 • No. 2 • 2011
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