Geodesic
On the zeros of one ternary quadratic form zeta function
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 26, Tome 392 (2011), pp. 159-162 Cet article a éte moissonné depuis la source Math-Net.Ru

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The author reports on computation of the zeros of the Epstein zeta-function of the quadratic form $x^2+y^2+z^2$. 
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N. V. Proskurin. On the zeros of one ternary quadratic form zeta function. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 26, Tome 392 (2011), pp. 159-162. http://geodesic.mathdoc.fr/item/ZNSL_2011_392_a7/

[1] C. L. Siegel, “Contributions to the theory of the Dirichlet $L$-series and the Epstein zeta-functions”, Ann. Math., 44:2 (1943), 143–172 | DOI | MR | Zbl

[2] O. M. Fomenko, “O dzeta-funktsii Epshteina”, Zap. nauchn. semin. POMI, 286, 2002, 169–178 ; “О дзета-функции Эпштейна. II”, Зап. научн. семин. ПОМИ, 371, 2009, 157–170 | MR | Zbl

[3] E. C. Titchmarsh, The theory of functions, Oxford University Press, 1939 | MR

[4] K. Ramachandra, A. Sankaranarayanan, “Hardy's theorem for zeta-functions of quadratic forms”, Proc. Indian Acad. Sci., 106:3 (1996), 217–226 | DOI | MR | Zbl