О формулах суммирования и интерполяции

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May 22, 2026

HSE Graduates AI Project Wins at TECH & AI Awards

Daria Davydova, graduate of the HSE Graduate School of Business and Head of the AI Implementation Unit at the Artificial Intelligence Department of Alfa-Bank, received a prize at the TECH & AI Awards. She was awarded for the best AI solution for optimising business processes. The winners were determined as part of the VII Russian Summit and Awards on Digital Transformation (CDO/CDTO Summit & Awards).

May 20, 2026

HSE University Opens First Representative Office of Satellite Laboratory in Brazil

HSE University-St Petersburg opened a representative office of the Satellite Laboratory on Social Entrepreneurship at the University of Campinas in Brazil. The platform is going to unite research and educational projects in the spheres of sustainable development, communications and social innovations.

May 18, 2026

The 'Second Shift' Is Not Why Women Avoid News

Women are more likely than men to avoid political and economic news, but the reasons for this behaviour are linked less to structural inequality or family-related stress than to personal attitudes and the emotional perception of news content. This conclusion was reached by HSE researchers after analysing data from a large-scale survey of more than 10,000 residents across 61 regions of Russia. The study findings have been published in Woman in Russian Society.

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О формулах суммирования и интерполяции

Чебышевский сборник. 2001. Т. 1. № 1. С. 52–71.

Ustinov A.

This paper is devoted to applications of discrete analogs of Bernoulli polynomials — polynomials introduced by Korobov. In particular, summation and interpolation formulas are proved for functions defined on a discrete set of points.

Language: Russian

Text on another site

Generalized chord diagrams and weight systems

Kazaryan M., Krasilnikov E., Lando S. et al., Russian Mathematical Surveys 2025 Vol. 80 No. 6(486) P. 73–136

The paper is devoted to a description of the recent progress in understanding the extension of Lie algebra weight systems to permutations. Lie algebra weight systems are functions on chord diagrams arising naturally in Vassiliev's theory of finite-type knot invariants. These functions satisfy certain linear restrictions known as Vassiliev's 4-term relations. Chord diagrams can be interpreted as fixed-point-free involutions in ...

Added: December 4, 2025

Результаты Устинова

Ustinov A., В кн.: Теоретико-числовые методы в приближенном анализе.: МЦНМО, 2004.

Added: October 16, 2025