eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014-11-27 2 6 220 222 10.12691/tjant-2-6-5 TJANT2014265 article Manvendra Tamba tamba@unigoa.ac.in 1 Department of Mathematics, Goa University, Taleigao Plateau, Goa, India Let G(n) denote the number of partitions of n into distinct parts which are of the form 2m, 3m, 5m, 6m-3, 8m-3, 9m-3 or 11m-3 with parts of the form 2m, 3m, 6m-3, or 11m-3 being even in number minus the number of them with parts of the form 2m, 3m, 6m-3, or 11m-3 being odd in number. In this paper, we prove that G(n) assumes all integral values and does so infinitely often. http://pubs.sciepub.com/tjant/2/6/5/tjant-2-6-5.pdf partition functions Gaussian integers Jacobi's triple product identity