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ON THE EXPONENTIAL SUM WITH SQUARE-FREE NUMBERS

Published online by Cambridge University Press:  12 December 2005

D. I. TOLEV
D. I. TOLEV
Affiliation:
Department of Mathematics, Plovdiv University ‘P. Hilendarski’, 24 ‘Tsar Asen’ str., Plovdiv 4000, Bulgaria, [email protected]
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Abstract

A new estimate for the exponential sum with square-free numbers is established. This result is applied to the problem of finding the number of representations of a large integer as a sum of three square-free numbers.

Keywords

11L0711N3611P99
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 6 , December 2005 , pp. 827 - 834
Copyright
© The London Mathematical Society 2005

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