Abstract
TextLet K be an algebraic number field with OK its ring of integers, and n a nonzero ideal of OK. For an element a∈OK/n, we define (OK/n)⁎⋅a as an orbit of a. Then we show explicitly which orbits are part of the union which constitutes the sumset of two given orbits. We also obtain a formula for the number of representations of each element in the sumset of two orbits. VideoFor a video summary of this paper, please visit https://youtu.be/xGpnILG6BPA.
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