- PII
- S3034504925010066-1
- DOI
- 10.7868/S3034504925010066
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 521 / Issue number 1
- Pages
- 38-42
- Abstract
- We obtain an asymptotic formula for the sum Q(x) = ∑n≤x/r(n+1)≠0 r(n)/r(n+1), (x → +∞), where r(n) denotes the number of representations of n as a sum of two squares.
- Keywords
- сумма двух квадратов характер Дирихле неравенство большого решета дисперсионный метод
- Date of publication
- 03.02.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 59
References
- 1. Хооли K. Применение методов решета в теории чисел. М.: Наука, 1987.
- 2. Korolev M.A. On Karatsuba’s problem concerning the divisor function // Monatsh. Math. (168). 2012. P. 403-441.
- 3. Fouvry E., Radziwill M. Level of distribution of unbalanced convolutions // Ann. scient. de l’Ecole Normale Superieure (55). 2022. P. 537-568.
- 4. Bettin S., Chandee V. Trillinear forms with Kloosterman fractions // Adv. in Math. (328). 2018. P. 1234-1262.
