# Farey fractions and sums over coprime pairs

Acta Arithmetica (1995)

- Volume: 70, Issue: 2, page 149-159
- ISSN: 0065-1036

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top## How to cite

topMasayoshi Hata. "Farey fractions and sums over coprime pairs." Acta Arithmetica 70.2 (1995): 149-159. <http://eudml.org/doc/206743>.

@article{MasayoshiHata1995,

author = {Masayoshi Hata},

journal = {Acta Arithmetica},

keywords = {coprime pairs; Farey fractions; infinite sums},

language = {eng},

number = {2},

pages = {149-159},

title = {Farey fractions and sums over coprime pairs},

url = {http://eudml.org/doc/206743},

volume = {70},

year = {1995},

}

TY - JOUR

AU - Masayoshi Hata

TI - Farey fractions and sums over coprime pairs

JO - Acta Arithmetica

PY - 1995

VL - 70

IS - 2

SP - 149

EP - 159

LA - eng

KW - coprime pairs; Farey fractions; infinite sums

UR - http://eudml.org/doc/206743

ER -

## References

top- [1] J. W. L. Glaisher, On the history of Euler's constant, Messenger of Math. (N.S.) 1 (1872), 25-30.
- [2] H. Gupta, An identity, Res. Bull. Panjab Univ. (N.S.) 15 (1964), 347-349. Zbl0135.10401
- [3] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Oxford, 1979. Zbl0423.10001
- [4] M. Hata and M. Yamaguti, The Takagi function and its generalization, Japan J. Appl. Math. 1 (1984), 183-199. Zbl0604.26004
- [5] J. Lehner and M. Newman, Sums involving Farey fractions, Acta Arith. 15 (1969), 181-187 Zbl0176.32304

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