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math.NT2003★ 2 cited
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.
math.NT2002★ 1 cited
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.
math.NT2002
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…