The order of inverses mod q
Let q be a prime number and let a = (a1, …, as) be an s-tuple of distinct integers modulo q. For any x coprime with q, let be such that . For fixed s and q→∞ an asymptotic formula is given for the number of residue classes x modulo q for which The more general case, when q is not necessarily prime a...
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Veröffentlicht in: | Mathematika 2000-12, Vol.47 (1-2), p.87-108 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | Let q be a prime number and let a = (a1, …, as) be an s-tuple of distinct integers modulo q. For any x coprime with q, let be such that . For fixed s and q→∞ an asymptotic formula is given for the number of residue classes x modulo q for which The more general case, when q is not necessarily prime and x is restricted to lie in a given subinterval of [1, q], is also treated. |
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ISSN: | 0025-5793 2041-7942 |
DOI: | 10.1112/S0025579300015746 |