The article considers the problem of simultaneously representing three natural numbers as the sum of six prime numbers. It proves a power estimate for the number of triplets, which cannot be simultaneously expressed as a sum of six prime numbers. Also, for the first time, a lower estimate was obtained for the quantity of representation of three given natural numbers as the sum of six prime numbers. The proven results complement the works of I. Allakov, B.Kh. Abraev and M.C . Liu, K.M. Tsang in this area.
| Mualliflar | Allakov, I., Erdonov, B.Kh., Аллаков, И., Эрдонов, Б.Х. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2024-12-11 |
| Son | 4/1 |
| Betlar | 122-133 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-27 |
estimate, positive solvability, congruent solvability, Euler’s constant, effective constant, fixed number, prime number, system of linear equations, power estimate, оценка, положительная разрешимость, конгруэнт разрешимость, постоянная Эйлера, эффективная константа, фиксированное число, простое число, система линейных уравнений, степенная оценка
| APA | Allakov, I., Erdonov, B.Kh., Аллаков, И., & Эрдонов, Б.Х. (2024). On the simultaneous representation of three numbers by the sum of six numbers of primes. Ҳисоблаш ва амалий математика муаммолари, (4/1), 122-133. https://journals.airi.uz/index.php/pvpm/article/view/54 |
|---|---|
| GOST (OAK) | Allakov, I. va b. On the simultaneous representation of three numbers by the sum of six numbers of primes // Ҳисоблаш ва амалий математика муаммолари. – 2024. – № 4/1. – P. 122-133. |
| MLA | Allakov, I., Erdonov, B.Kh., Аллаков, И., and Эрдонов, Б.Х. “On the simultaneous representation of three numbers by the sum of six numbers of primes.” Ҳисоблаш ва амалий математика муаммолари, (4/1), 122-133, 2024. https://journals.airi.uz/index.php/pvpm/article/view/54 |
| Chicago | Allakov, I., Erdonov, B.Kh., Аллаков, И., and Эрдонов, Б.Х. “On the simultaneous representation of three numbers by the sum of six numbers of primes.” Ҳисоблаш ва амалий математика муаммолари, (4/1), 122-133 (2024). https://journals.airi.uz/index.php/pvpm/article/view/54 |
| Harvard | Allakov, I., Erdonov, B.Kh., Аллаков, И., and Эрдонов, Б.Х (2024) ‘On the simultaneous representation of three numbers by the sum of six numbers of primes’, Ҳисоблаш ва амалий математика муаммолари, (4/1), 122-133. https://journals.airi.uz/index.php/pvpm/article/view/54 |
| BibTeX | @article{allakovi2024,
title = {On the simultaneous representation of three numbers by the sum of six numbers of primes},
author = {Allakov, I. and Erdonov, B.Kh. and Аллаков, И. and Эрдонов, Б.Х.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2024},
number = {4/1},
pages = {122-133},
url = {https://journals.airi.uz/index.php/pvpm/article/view/54}
} |
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