On a zeta function associated to ternary zero forms

Cipra, Barry A.

doi:10.1090/S0002-9939-1987-0911016-4

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On a zeta function associated to ternary zero forms
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by Barry A. Cipra PDF

Proc. Amer. Math. Soc. 101 (1987), 602-604 Request permission

Abstract:

We rederive a relation due to Eie between a zeta function for ternary quadratic forms and the Riemann zeta function, correcting a factor corresponding to the prime $p = 2$.

References

Min King Eie, A zeta-function associated with zero ternary forms, Proc. Amer. Math. Soc. 94 (1985), no. 3, 387–392. MR 787878, DOI 10.1090/S0002-9939-1985-0787878-9