Transcendence of Some Infinite Series

M. Ram Murty and Purusottam Rath
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M. Ram Murty: Queen’s University, Department of Mathematics and Statistics
Purusottam Rath: Chennai Mathematical Institute

Chapter Chapter 24 in Transcendental Numbers, 2014, pp 137-151 from Springer

Abstract: Abstract In this chapter, we investigate the transcendental nature of the sum ∑ ′ n ∈ ℤ A ( n ) B ( n ) $$\displaystyle{\mathop{\sum\nolimits^{\prime}}_{n\in \mathbb{Z}}{ A(n) \over B(n)}}$$ where A(x), B(x) are polynomials with algebraic coefficients with deg A

Keywords: Unconditional Results; Transcendental Nature; Integral Root; Integral Zero; Lindemann-Weierstrass Theorem (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4939-0832-5_24

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DOI: 10.1007/978-1-4939-0832-5_24

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