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On the Exponential Sum with Square‐Free Numbers
Author(s) -
Tolev D. I.
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305004753
Subject(s) - mathematics , square (algebra) , exponential function , square free integer , mathematics subject classification , exponential sum , integer (computer science) , combinatorics , discrete mathematics , mathematical analysis , geometry , computer science , programming language
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. 2000 Mathematics Subject Classification 11L07, 11N36, 11P99.
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