Denser Egyptian fractions

• Autorzy: Greg Martin
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 95
• Numer: 3
• Strony: 231-260

Daty

wydano

2000

otrzymano

1999-12-13

poprawiono

2000-03-27

Twórcy

autor

Greg Martin

• Department of Mathematics, University of Toronto, Canada M5S 3G3

Bibliografia

• [1] A. Balog and C. Pomerance, The distribution of smooth numbers in arithmetic progressions, Proc. Amer. Math. Soc. 115 (1992), 33-43.
• [2] E. S. Croot III, On unit fractions with denominators from short intervals, Acta Arith., to appear.
• [3] E. S. Croot III, On some questions of Erdős and Graham about Egyptian fractions, Mathematika, to appear.
• [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.
• [5] R. K. Guy, Unsolved Problems in Number Theory, 2nd ed., Springer, New York, 1994.
• [6] A. Hildebrand and G. Tenenbaum, Integers without large prime factors, J. Théor. Nombres Bordeaux 5 (1993), 411-484.
• [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.
• [9] R. C. Vaughan, The Hardy-Littlewood Method, 2nd ed., Cambridge Univ. Press, Cambridge, 1997.
• [10] H. Yokota, On a problem of Erdős and Graham, J. Number Theory 39 (1991), 327-338.