PRIMITIVE RECURSIVE DECIDABILITY FOR THE RING OF INTEGERS OF THE COMPOSITUM OF ALL SYMMETRIC EXTENSIONS OF ℚ
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DOI: 10.1017/s001708952000018x
Abstract: Abstract Let ℚsymm be the compositum of all symmetric extensions of ℚ, i.e., the finite Galois extensions with Galois group isomorphic to Sn for some positive integer n, and let ℤsymm be the ring of… read more here.
Keywords: compositum symmetric; ring integers; symmetric extensions; recursive decidability ... See more keywords
Ramanujan’s sum in the ring of integers of an algebraic number field
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DOI: 10.1142/s1793042120500037
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. read more here.
Keywords: algebraic number; ring integers; ramanujan sum; sum ring ... See more keywords