On the zeros of derivative of one ternary quadratic form zeta function
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 28, Tome 418 (2013), pp. 168-171
Citer cet article
Voir la notice du chapitre de livre provenant de la source Math-Net.Ru
The author reports on computation of the zeros of the derivative of zeta function of the quadratic form $x^2+y^2+z^2$.
[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. I”, Zap. nauchn. semin. POMI, 286, 2002, 169–178 | MR | Zbl
[3] O. M. Fomenko, “O dzeta-funktsii Epshteina. II”, Zap. nauchn. semin. POMI, 371, 2009, 157–170
[4] N. V. Proskurin, “O nulyakh dzeta-funktsii odnoi ternarnoi kvadratichnoi formy”, Zap. nauchn. semin. POMI, 392, 2011, 159–162 | MR