Geodesic
Infinite products of binomials and partitions of numbers
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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 9-15.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we consider expansions of functions into infinite products of power binomials. We also propose a formula for representing the exponential function by such products and formulas for calculating the number of partitions of natural numbers.
Keywords: infinite product, infinite system of linear equations, partition of a number. 
@article{INTO_2020_181_a1,
     author = {M. P. Burlakov and V. M. Burlakov},
     title = {Infinite products of binomials and partitions of numbers},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {9--15},
     publisher = {mathdoc},
     volume = {181},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_181_a1/}
}
TY  - JOUR
AU  - M. P. Burlakov
AU  - V. M. Burlakov
TI  - Infinite products of binomials and partitions of numbers
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2020
SP  - 9
EP  - 15
VL  - 181
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2020_181_a1/
LA  - ru
ID  - INTO_2020_181_a1
ER  - 
%0 Journal Article
%A M. P. Burlakov
%A V. M. Burlakov
%T Infinite products of binomials and partitions of numbers
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2020
%P 9-15
%V 181
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2020_181_a1/
%G ru
%F INTO_2020_181_a1
M. P. Burlakov; V. M. Burlakov. Infinite products of binomials and partitions of numbers. 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 Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 3, Tome 181 (2020), pp. 9-15. http://geodesic.mathdoc.fr/item/INTO_2020_181_a1/

[4] Burlakov V. M., Burlakov M. P., Memuar o beskonechnykh proizvedeniyakh, Izd-vo L. A. Kim, M., 2019

[5] Burlakov M. P., Vvedenie v spetsialnost. Konspekt lektsii, Izd-vo Checheno-Ingush. un-ta, Groznyi, 1985

[6] Vinogradov I. M., Osnovy teorii chisel, Nauka, M., 1972 | MR

[7] Menshikov M. V., Revyakin A. M., Kopylova A. N., Makarov Yu. N., Stechkin B. S., Kombinatornyi analiz. Zadachi i uprazhneniya, Nauka, M., 1982 | MR

[8] Eiler L., Vvedenie v analiz beskonechnykh, GIFML, M., 1961