Generalization of the Power Sum Arising in the Theory of Integrable Hierarchies
- Авторлар: Svinin A.K.1
-
Мекемелер:
- Matrosov Institute for System Dynamics and Control Theory SB RAS
- Шығарылым: Том 239, № 2 (2019)
- Беттер: 159-171
- Бөлім: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242646
- DOI: https://doi.org/10.1007/s10958-019-04299-6
- ID: 242646
Дәйексөз келтіру
Аннотация
We consider a class of multiple sums involving odd powers of natural numbers. Such sums appear while considering the continuous limit of the integrable hierarchy of evolution equations associated with the Itoh–Narita–Bogoyavlenskii lattice. We discuss the problem of constructing polynomials that allow us to calculate the values of the corresponding sums.
Авторлар туралы
A. Svinin
Matrosov Institute for System Dynamics and Control Theory SB RAS
Хат алмасуға жауапты Автор.
Email: svinin@icc.ru
Ресей, 134, Lermontov St, Irkutsk, 664033
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