Chowla, S. (1970) The nonexistence of nontrivial linear relations between the roots of a certain irreducible equation Journal of Number Theory, 2 (1). pp. 120-123. ISSN 0022-314X
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002231...
Related URL: http://dx.doi.org/10.1016/0022-314X(70)90012-0
Abstract
Let x1,…, xn be the roots of an irreducible equation of degree n over Q. Under what conditions can we have nontrivial" relations a1X1+ … +anX1=0(an ϵ Q) ? In some cases it is shown that the nonexistence of nontrivial relations depends on the nonvanishing of Dirichlet's series L(s, Χ) at s = 1, when Χ is a character with Χ(−1) = −1.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 8594 |
| Deposited On: | 28 Oct 2010 11:22 |
| Last Modified: | 05 Dec 2011 03:53 |
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