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Title: | Transcendence of Certain Fourier Series |
Authors: | Chester Weatherby |
Issue Date: | 2016 |
Publisher: | Journal of the Ramanujan Mathematical Society |
Abstract: | In this note we offer and alternate approach to studying the transcendental nature of the sumsΣ f(n)A(n)/B(n) and Σ A(n)/B(n)where A(x), B(x) are polynomials with algebraic coefficients with deg A < deg B, f is an algebraic valued periodic function, and the sum is over integers n which are not zeros of B(x). By relating these sums to the Fourier series of certain functions we are able to obtain an alternate formulation of some results found in [3] and [6]. |
URI: | http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6325 |
Appears in Collections: | Articles to be qced |
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Transcendence of certain Fourier series.pdf Restricted Access | 361.89 kB | Adobe PDF | View/Open Request a copy |
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