Approximating reals by sums of rationals |
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| Authors: | Tsz Ho Chan |
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| Affiliation: | Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, USA |
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| Abstract: | We consider the question of approximating any real number α by sums of n rational numbers  with denominators 1?q1,q2,…,qn?N. This leads to inquiries on approximating a real number by rational numbers with a prescribed number of prime factors in the denominator as well as by rational numbers with smooth denominator. |
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| Keywords: | Diophantine approximation Exponential sum Erdö s-Turá n inequality Smooth number |
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