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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