For primes p congruent to 1, 2, or 4 modulo 7, the sums H_{a,7}(p) are expressed as rational linear functions of p plus chi_{-7}(x)x, where p = x^2 + 7y^2.
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Sums of Hurwitz Class Numbers and newform of weight 2 and level 49
For primes p congruent to 1, 2, or 4 modulo 7, the sums H_{a,7}(p) are expressed as rational linear functions of p plus chi_{-7}(x)x, where p = x^2 + 7y^2.