Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 220, Pages 61–70
DOI: https://doi.org/10.36535/0233-6723-2023-220-61-70 (Mi into1118) 		 
On infinite products of Euler type

E. V. Lukyanova, M. P. Burlakov

Moscow State Pedagogical University
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DOI: https://doi.org/10.36535/0233-6723-2023-220-61-70
Abstract: In this paper, we consider recurrent and general formulas expressing the number of representations of a natural number $n$ by sums of other natural numbers in terms of sums of divisors of a given natural number.
Keywords: infinite product, additive partition of numbers, recurrent formula, arithmetic function.
Document Type: Article
UDC: 517.28, 519.101
MSC: 05A15, 11A25, 26A99
Language: Russian
Citation: E. V. Lukyanova, M. P. Burlakov, “On infinite products of Euler type”, Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998).  Moscow, November 1–4, 2021. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 220, VINITI, Moscow, 2023, 61–70
Citation in format AMSBIB
\Bibitem{LukBur23}
\by E.~V.~Lukyanova, M.~P.~Burlakov
\paper On infinite products of Euler type
\inbook Proceedings of the International Conference «Classical and Modern Geometry» dedicated to the 100th anniversary of the birth of Professor Levon Sergeyevich Atanasyan (July 15, 1921—July 5, 1998). 
Moscow, November 1–4, 2021. Part 1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 220
\pages 61--70
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1118}
\crossref{https://doi.org/10.36535/0233-6723-2023-220-61-70}
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