A Proof Of Melham's Identities
Humby, George
Date: 9 October 2017
Publisher
University of Exeter
Degree Title
MbyRes Mathematics
Abstract
Melham [10] conjectures 21 identities, all of which are analogous to Jacobi's two-square theorem.
Melham mentions that a small number of these have already been proved in various ways by Hirschhorn
[5], Sun [13], and Dickson [3] (combined with work from Adiga, Cooper, and Han [1]). In this paper
we offer a straightforward method to ...
Melham [10] conjectures 21 identities, all of which are analogous to Jacobi's two-square theorem.
Melham mentions that a small number of these have already been proved in various ways by Hirschhorn
[5], Sun [13], and Dickson [3] (combined with work from Adiga, Cooper, and Han [1]). In this paper
we offer a straightforward method to proving all of them.
MbyRes Dissertations
Doctoral College
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