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Please use this identifier to cite or link to this item: https://gnanaganga.inflibnet.ac.in:8443/jspui/handle/123456789/6354
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dc.contributor.authorArpita Kar-
dc.contributor.authorM. Ram Murty-
dc.date.accessioned2024-02-27T05:57:01Z-
dc.date.available2024-02-27T05:57:01Z-
dc.date.issued2019-
dc.identifier.urihttp://gnanaganga.inflibnet.ac.in:8080/jspui/handle/123456789/6354-
dc.description.abstractLet 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).-
dc.publisherJournal of the Ramanujan Mathematical Society-
dc.titleOn a Conjecture of Bateman About r5 (n)-
dc.volVol 34-
dc.issuedNo 1-
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