Asymptotic formula in generalization of ternary Esterman problem with almost proportional summands
https://doi.org/10.22405/2226-8383-2024-25-4-120-137
Abstract
For 𝑛 ≥ 3, an asymptotic formula for the number of representations of a sufficiently large natural number 𝑁 in the form 𝑝_1 + 𝑝_2 + 𝑚^𝑛 = 𝑁, is obtained. Here 𝑝_1, 𝑝_2 are prime numbers, and 𝑚 is a natural number, satisfying the following conditions
About the Author
Firuz Zarulloevich Rakhmonov
A. Dzhuraev Institute of Mathematics
Tajikistan
Tajikistan
candidate of physical and mathematical sciences
References
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Review
For citations:
Rakhmonov F.Z. Asymptotic formula in generalization of ternary Esterman problem with almost proportional summands. Chebyshevskii Sbornik. 2024;25(4):120-137. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-4-120-137
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