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Corrales Rodrigáñez, Carmen and Schoof, René (1997) The Support Problem and Its Elliptic Analogue. Journal of number theory, 64 (2). pp. 276-290. ISSN 1096-1658
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Official URL: http://www.sciencedirect.com/science/article/pii/S0022314X97921144
Abstract
Let F be a number field, Suppose x, y Є F* have the property that for all n Є Z and almost all prime ideals p of the ring of integers of F* one has that yn =1 (mod p) whenever xn=1 (mod p). We show that then y is a power of x. This answers a question of Erdos. We also prove an elliptic analogue of this result.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Algebraic number; Congruence; Support problem; Elliptic curves |
| Subjects: | Sciences > Mathematics > Number theory |
| ID Code: | 20271 |
| Deposited On: | 07 Mar 2013 12:09 |
| Last Modified: | 25 Jun 2018 11:27 |
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