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Ramanujan’s sum in the ring of integers of an algebraic number field

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In this paper, we generalize Ramanujan’s sum to the ring of integers of an algebraic number field. We also obtain the orthogonality properties of Ramanujan’s sum in the ring of… Click to show full abstract

In this paper, we generalize Ramanujan’s sum to the ring of integers of an algebraic number field. We also obtain the orthogonality properties of Ramanujan’s sum in the ring of integers.

Keywords: algebraic number; ring integers; ramanujan sum; sum ring; integers algebraic

Journal Title: International Journal of Number Theory
Year Published: 2019

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