Generalization of the Power Sum Arising in the Theory of Integrable Hierarchies
- Authors: Svinin A.K.1
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Affiliations:
- Matrosov Institute for System Dynamics and Control Theory SB RAS
- Issue: Vol 239, No 2 (2019)
- Pages: 159-171
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242646
- DOI: https://doi.org/10.1007/s10958-019-04299-6
- ID: 242646
Cite item
Abstract
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.
About the authors
A. K. Svinin
Matrosov Institute for System Dynamics and Control Theory SB RAS
Author for correspondence.
Email: svinin@icc.ru
Russian Federation, 134, Lermontov St, Irkutsk, 664033