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Kim, Kyoungmin
Journal of number theory, 20/May , Letnik: 246Journal Article
Let f be a positive definite integral quinary quadratic form. We say f is strongly s-regular if it satisfies a strong regularity property on the number of representations of squares of integers by f. In this article, we show that there exist exactly 19 strongly s-regular diagonal quinary quadratic forms representing 1 (see Table 1). In particular, we use eta-quotients of weight 52 to prove the strongly s-regularity of the quinary quadratic form x2+2y2+2z2+3w2+3t2, which is, in fact, of class number 4.
