The purpose of this paper is to prove a conjecture in Yoshida’s book [2, p.33] on the higher derivative of Shintani zeta functions at $s=0$. We use multivariable Shintani zeta functions to prove the conjecture.
@article{1293500473,
author = {Hirose, Minoru},
title = {On Yoshida's conjecture on the derivative of Shintani zeta functions},
journal = {Proc. Japan Acad. Ser. A Math. Sci.},
volume = {87},
number = {1},
year = {2011},
pages = { 13-15},
language = {en},
url = {http://dml.mathdoc.fr/item/1293500473}
}
Hirose, Minoru. On Yoshida’s conjecture on the derivative of Shintani zeta functions. Proc. Japan Acad. Ser. A Math. Sci., Tome 87 (2011) no. 1, pp. 13-15. http://gdmltest.u-ga.fr/item/1293500473/