On Sums of Roots of Unity |
| |
| Authors: | Roberto Dvornicich Umberto Zannier |
| |
| Institution: | (1) University of Pisa, Italy, IT;(2) University of Venezia, Italy, IT |
| |
| Abstract: | Suppose that for some root of unity ζ of order Q with and all coefficients a
i
belonging to a number field L. We bound Q in terms of k and . This generalizes a result of Conway and Jones for the case of rational coefficients. Moreover, we give an application to
linear relations among characteristic functions of arithmetical progressions.
(Received 18 January 1999; in revised from 14 June 1999) |
| |
| Keywords: | 1991 Mathematics Subject Classification: 11R18 11D61 |
| 本文献已被 SpringerLink 等数据库收录！ |
