On a variance associated with the distribution of general sequences in arithmetic progressions. II

On a variance associated with the distribution of general sequences in arithmetic progressions. II

Asymptotic formulae of Montgomery-Hooley type are obtained for general sequences which, for relatively small moduli, have an approximate asymptotic distribution in each residue class.

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Veröffentlicht in:Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 1998-03, Vol.356 (1738), p.793-809
1. Verfasser: Vaughan, R. C.
Format: Artikel
Sprache:eng
Schlagworte:
Arithmetic progressions
Asymptotics
Distribution
Indicator functions
Mathematical sequences
Mathematical theorems
Residue Classes
Sequences
Variance
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Beschreibung
Zusammenfassung:Asymptotic formulae of Montgomery-Hooley type are obtained for general sequences which, for relatively small moduli, have an approximate asymptotic distribution in each residue class.
ISSN:1364-503X
1471-2962
DOI:10.1098/rsta.1998.0186