2 citations · 3 across the 4 of their papers we have counts for
4 papers
On the local factor of the zeta function of quadratic orders
Masanobu Kaneko
We prove by an elementary method the Riemann hypothesis for the local Euler factor of the zeta function of quadratic orders.
A variation of Euler's approach to values of the Riemann zeta function
Masanobu Kaneko, Nobushige Kurokawa, Masato Wakayama
An elementary method of computing the values at negative integers of the Riemann zeta function is presented. The principal ingredient is a new q-analogue of the Riemann zeta functi…
Quasimodular solutions of a differential equation of hypergeometric type
Masanobu Kaneko, Masao Koike
Solutions which are quasimodular forms to a second order differential equation attached to a triangular group are explicitly described in terms of certain orthogonal polynomials.
On modular forms arising from a differential equation of hypergeometric type
Masanobu Kaneko, Masao Koike
Modular and quasimodular solutions of specific second order differential equation in the upper-half plane which originates from a study of supersingular j-invariants are given expl…