Geodesic
On infinite products of Euler type
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 220 (2023), pp. 61-70.

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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. 
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E. V. Lukyanova; M. P. Burlakov. On infinite products of Euler type. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 220 (2023), pp. 61-70. http://geodesic.mathdoc.fr/item/INTO_2023_220_a7/

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