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Let hn denote the class number of which is a cyclic extension of degree 2n over the rational number field ℚ. There are no known examples of hn > 1. We prove that a prime number l does not divide hn… (More)
Let p and l be prime numbers. In this paper, we consider the l-indivisibility of the class numbers of the intermediate fields in the cyclotomic Z p -extension of Q. Moreover, we study the class… (More)
We consider a formal linearization that transforms a given nonlinear system into a linear system by means of the Chebyshev interpolation. The proposed linearization has high accuracy and easy… (More)
Abstract We will give a sufficient condition that λ invariants of real quadratic fields vanish. We will also give some examples.
A method of counting the number of load current pulsations in an alternating current supply including monitoring the alternations of the supply current and detecting pulsations thereof by detecting… (More)