# On consecutive Farey arcs II

Acta Arithmetica (1994)

- Volume: 66, Issue: 1, page 1-9
- ISSN: 0065-1036

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topR. R. Hall. "On consecutive Farey arcs II." Acta Arithmetica 66.1 (1994): 1-9. <http://eudml.org/doc/206589>.

@article{R1994,

author = {R. R. Hall},

journal = {Acta Arithmetica},

keywords = {Farey sequence; distance between consecutive Farey points; asymptotic formula; square power moment; nearest spacings},

language = {eng},

number = {1},

pages = {1-9},

title = {On consecutive Farey arcs II},

url = {http://eudml.org/doc/206589},

volume = {66},

year = {1994},

}

TY - JOUR

AU - R. R. Hall

TI - On consecutive Farey arcs II

JO - Acta Arithmetica

PY - 1994

VL - 66

IS - 1

SP - 1

EP - 9

LA - eng

KW - Farey sequence; distance between consecutive Farey points; asymptotic formula; square power moment; nearest spacings

UR - http://eudml.org/doc/206589

ER -

## References

top- [1] J. Franel, Les suites de Farey et le problème des nombres premiers, Göttinger Nachr. 1924, 198-201. Zbl50.0119.01
- [2] R. R. Hall and G. Tenenbaum, On consecutive Farey arcs, Acta Arith. 44 (1984), 397-405. Zbl0553.10011
- [3] R. R. Hall and G. Tenenbaum, The set of multiples of a short interval, in: Number Theory, New York Seminar 1989-90, D. V. Chudnovsky, G. V. Chudnovsky, H. Cohn and M. B. Nathanson (eds.), Springer, 1991, 119-128. Zbl0741.11038
- [4] S. Kanemitsu, R. Sita Rama Chandra Rao and A. Siva Rama Sarma, Some sums involving Farey fractions 1, J. Math. Soc. Japan 34 (1982), 125-142.

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