On the Hooley’s problem on the representation of a number as the sum of a square and a product

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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

Russian Federation, 136, Tikhookeanskaya street, Khabarovsk, 680035

Corresponding Member of the Russian Academy of Sciences

A. V. Ustinov

Pacific National University

Email: ustinov@iam.khv.ru

Russian Federation, 136, Tikhookeanskaya street, Khabarovsk, 680035

References

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