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
Hauptverfasser: Cobeli, Cristian, Zaharescu, Alexandru
Format: Artikel
Sprache:eng
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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.
ISSN:0025-5793
2041-7942
DOI:10.1112/S0025579300015746