On Sums of Three Squares
نویسندگان
چکیده
(1) r3(n) = 4πn S3(n), where the singular series S3(n) is given by (16) with Q = ∞. While in principle this exact formula can be used to answer almost any question concerning r3(n), the ensuing calculations can be tricky because of the slow convergence of the singular series S3(n). Thus, one often sidesteps (1) and attacks problems involving r3(n) directly. For example, concerning the mean value of r3(n), one can adapt the method of solution of the circle problem to obtain the following ∑
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