Please use this identifier to cite or link to this item: https://gnanaganga.inflibnet.ac.in:8443/jspui/handle/123456789/6354
Title: On a Conjecture of Bateman About r5 (n)
Authors: Arpita Kar
M. Ram Murty
Issue Date: 2019
Publisher: Journal of the Ramanujan Mathematical Society
Abstract: Let r5(n) be the number of ways of writing n as a sum of five integer squares. In his study of this function, Bateman was led to formulate a conjecture regarding the sum Σ σ(n − j^2) | j|≤√n where σ (n) is the sum of positive divisors of n. We give a proof of Bateman’s conjecture in the case n is square-free and congruent to 1 (mod 4).
URI: http://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6354
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