4 citations · 8 across the 4 of their papers we have counts for
4 papers
Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals
Miki Hirano, Taku Ishii, Tadashi Miyazaki
We give explicit formulas of Whittaker functions on GL(4,R) for all irreducible generic representations. As an application, we determine test vectors which attain the associated L-…
Archimedean zeta integrals for
Miki Hirano, Taku Ishii, Tadashi Miyazaki
In this article, we give explicit formulas of archimedean Whittaker functions on and . Moreover, we apply those to the calculation of archimedean zeta integrals for…
Ramanujan Cayley graphs of Frobenius groups
Miki Hirano, Kohei Katata, Yoshinori Yamasaki
In this paper, we determine the bound of the valency of Cayley graphs of Frobenius groups with respect to normal Cayley subsets which guarantees to be Ramanujan. We see that if the…
Ramanujan circulant graphs and the conjecture of Hardy-Littlewood and Bateman-Horn
Miki Hirano, Kohei Katata, Yoshinori Yamasaki
In this paper, we determine the bound of the valency of the odd circulant graph which guarantees to be a Ramanujan graph for each fixed number of vertices. In almost of the cases,…