# Denser Egyptian fractions

Acta Arithmetica (2000)

- Volume: 95, Issue: 3, page 231-260
- ISSN: 0065-1036

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top## How to cite

topMartin, Greg. "Denser Egyptian fractions." Acta Arithmetica 95.3 (2000): 231-260. <http://eudml.org/doc/207450>.

@article{Martin2000,

author = {Martin, Greg},

journal = {Acta Arithmetica},

keywords = {Egyptian fractions; sums of unit fractions},

language = {eng},

number = {3},

pages = {231-260},

title = {Denser Egyptian fractions},

url = {http://eudml.org/doc/207450},

volume = {95},

year = {2000},

}

TY - JOUR

AU - Martin, Greg

TI - Denser Egyptian fractions

JO - Acta Arithmetica

PY - 2000

VL - 95

IS - 3

SP - 231

EP - 260

LA - eng

KW - Egyptian fractions; sums of unit fractions

UR - http://eudml.org/doc/207450

ER -

## References

top- [1] A. Balog and C. Pomerance, The distribution of smooth numbers in arithmetic progressions, Proc. Amer. Math. Soc. 115 (1992), 33-43. Zbl0752.11036
- [2] E. S. Croot III, On unit fractions with denominators from short intervals, Acta Arith., to appear. Zbl1041.11019
- [3] E. S. Croot III, On some questions of Erdős and Graham about Egyptian fractions, Mathematika, to appear. Zbl1033.11014
- [4] P. Erdős and R. L. Graham, Old and New Problems and Results in Combinatorial Number Theory, Monograph. Enseign. Math. 28, Univ. Genève, Geneva, 1980. Zbl0434.10001
- [5] R. K. Guy, Unsolved Problems in Number Theory, 2nd ed., Springer, New York, 1994. Zbl0805.11001
- [6] A. Hildebrand and G. Tenenbaum, Integers without large prime factors, J. Théor. Nombres Bordeaux 5 (1993), 411-484. Zbl0797.11070
- [7] C. Hooley, Applications of Sieve Methods to the Theory of Numbers, Cambridge Tracts in Math. 70, Cambridge Univ. Press, Cambridge, 1976.
- [8] G. Martin, Dense Egyptian fractions, Trans. Amer. Math. Soc. 351 (1999), 3641-3657. Zbl0927.11015
- [9] R. C. Vaughan, The Hardy-Littlewood Method, 2nd ed., Cambridge Univ. Press, Cambridge, 1997. Zbl0868.11046
- [10] H. Yokota, On a problem of Erdős and Graham, J. Number Theory 39 (1991), 327-338. Zbl0742.11017

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