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math.NT2012★ 2 cited
On partial sums of the Möbius and Liouville functions for number fields
Yusuke Fujisawa, Makoto Minamide
Landau examined the partial sums of the Möbius function and the Liouville function for a number field . First we shall try again the same problem by using a new Perron's formula…
math.NT2012★ 1 cited
On a generalization of arithmetic functions and the Ramanujan sums
Yusuke Fujisawa
Let be a number field. This paper considers arithmetic functions over , that are, complex valued functions on the set of nonzero integral ideals in . Firstly we generaliz…