Lattice Points in Many-Dimensional Balls
- Авторлар: Fomenko O.1
-
Мекемелер:
- St.Petersburg Department of the Steklov Mathematical Institute
- Шығарылым: Том 225, № 6 (2017)
- Беттер: 1012-1021
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239897
- DOI: https://doi.org/10.1007/s10958-017-3512-3
- ID: 239897
Дәйексөз келтіру
Аннотация
Let Pk(n) be the difference between the number of points of the integer lattice contained in the ball \( {y}_1^2+\cdots {y}_k^2\le n \) and the volume of this ball. The paper investigates the asymptotic behavior of
the sums
\( \sum_{n\le x}{P}_k(n)\kern0.5em \left(k\ge 4\right),\kern0.5em \sum_{n\le x}{P}_3^2(n),\kern0.5em \sum_{n\le x}{P}_4^2(n)\kern1em as\kern0.5em x\to +\infty . \)
Авторлар туралы
O. Fomenko
St.Petersburg Department of the Steklov Mathematical Institute
Хат алмасуға жауапты Автор.
Email: fomenko@pdmi.ras.ru
Ресей, St. Petersburg