On a Generalization of the Ternary Goldbach Problem with Almost Equal Summands
https://doi.org/10.22405/2226-8383-2026-27-2-71-96
Abstract
An asymptotic formula is obtained for the number of representations of a sufficiently large natural number 𝑁 in the form
under the conditions
where 𝑏1, 𝑏2, 𝑏3 and 𝑁 are pairwise coprime natural numbers, and 𝐵𝑖 are arbitrary fixed positive constants.
Previously, a similar asymptotic formula was established under the condition
About the Authors
Zarullo Khusenovich Rakhmonov
A. Dzhuraev Institute of Mathematics
Tajikistan
Tajikistan
doctor of physical and mathematical sciences, professor, academician of the National Academy of Sciences of Tajikistan
Firuz Zarulloevich Rakhmonov
A. Dzhuraev Institute of Mathematics
Tajikistan
Tajikistan
candidate of physical and mathematical sciences
Parviz Zarulloevich Rakhmonov
Marex Group Plc
United Kingdom
United Kingdom
candidate of physical and mathematical sciences
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Review
For citations:
Rakhmonov Z.Kh., Rakhmonov F.Z., Rakhmonov P.Z. On a Generalization of the Ternary Goldbach Problem with Almost Equal Summands. Chebyshevskii Sbornik. 2026;27(2):71-96. (In Russ.) https://doi.org/10.22405/2226-8383-2026-27-2-71-96
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