The Representations by Certain Duodenary Quadratic Forms
Journal of Advances in Mathematics and Computer Science · pp. 1–20 · Published 1 Jan 2016
10.9734/BJMCS/2016/23292Abstract
The determination of the number of representations of a positive integer by certain quadratic forms is an important goal of number theory. Formulae for N(12i, 22j, 32k, 62l; n) for the nine octonary quadratic forms appear in the literature, whose coefficients are 1, 2, 3 and 6. Here, we determine formulae, for the numbers of representations of a positive integer by one hundred and six different duodenary quadratic forms whose coefficients are 1, 2, 3 and 6.
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