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On the Hooley’s problem on the representation of a number as the sum of a square and a product
- Authors: Bykovskii V.A.1, Ustinov A.V.1
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Affiliations:
- Pacific National University
- Issue: Vol 485, No 5 (2019)
- Pages: 539-544
- Section: Mathematics
- URL: https://journals.eco-vector.com/0869-5652/article/view/14282
- DOI: https://doi.org/10.31857/S0869-56524855539-544
- ID: 14282
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Abstract
The article is devoted to the Hooley’s problem on the representation of a number as the sum of a square and a product. For the first time we show that number of solutions satisfy an asymptotic formula with power saving in error term.
About the authors
V. A. Bykovskii
Pacific National University
Author for correspondence.
Email: vab@iam.khv.ru
Corresponding Member of the Russian Academy of Sciences
Russian Federation, 136, Tikhookeanskaya street, Khabarovsk, 680035A. V. Ustinov
Pacific National University
Email: ustinov@iam.khv.ru
Russian Federation, 136, Tikhookeanskaya street, Khabarovsk, 680035
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