The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

A Generalisation of Winquist’s Identity and a Conjecture of Ramanujan


Affiliations
1 School of Mathematics, The University of New South Wales, P.O. Box 1, Kensington, N.S.W. 2033, Australia
     

   Subscribe/Renew Journal


In a paper which appeared in 1919, S. Ramanujan [1] made the conjecture, among others, that p(11n+6)≡0 mod 11. His proof was published posthumously [2], but it was not until fully fifty years had elapsed that an elementary proof, due to L. Winquist [3] appeared.
Subscription Login to verify subscription
User
Notifications
Font Size


Abstract Views: 225

PDF Views: 0




  • A Generalisation of Winquist’s Identity and a Conjecture of Ramanujan

Abstract Views: 225  |  PDF Views: 0

Authors

Michael D. Hirschhorn
School of Mathematics, The University of New South Wales, P.O. Box 1, Kensington, N.S.W. 2033, Australia

Abstract


In a paper which appeared in 1919, S. Ramanujan [1] made the conjecture, among others, that p(11n+6)≡0 mod 11. His proof was published posthumously [2], but it was not until fully fifty years had elapsed that an elementary proof, due to L. Winquist [3] appeared.