Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Goryashin D. V. On an Additive Problem with Squarefree Numbers. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, vol. 13, iss. 4, pp. 41-47. DOI: 10.18500/1816-9791-2013-13-4-41-47

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
25.11.2013
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Language: 
Russian
Heading: 
Mathematics
UDC: 
511.34
DOI: 
10.18500/1816-9791-2013-13-4-41-47

On an Additive Problem with Squarefree Numbers

Autors: 
Goryashin Dmitry Victorovich, Lomonosov Moscow State University
Abstract: 

An asymptotic formula for the number of representations of a positive integer N in the form q1 + q2 + [®q3] is obtained, where q1, q2, q3 are squarefree numbers and ® > 1 is a fixed irrational algebraic number.

Key words: 
ternary problem
squarefree numbers
asymptotic formula
References: 
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