On Maillet determinant |
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Authors: | Kai Wang |
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Institution: | Department of Mathematics, Wayne State University, Detroit, Michigan 48202 USA |
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Abstract: | For a positive integer m, let and let n = |A|. For an integer x, let R(x) be the least positive residue of x modulo m and if (x, m) = 1, let x′ be the inverse of x modulo m. If m is odd, then |R(ab′)|a,b∈A = ?21?n(∏χ(Σa = 1m ? 1aχ(a))), where χ runs over all the odd Dirichlet characters modulo m. |
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