Обобщённая проблема Эстермана для нецелых степеней с почти пропорциональными слагаемыми

For 𝐻 ⩾ 𝑁1−^(1/2𝑐) (ln𝑁)^2, where L = ln𝑁 and 𝑐 is a fixed non-integer number satisfying we obtain an asymptotic formula for the number of representations of a sufficiently large integer 𝑁 in the form where 𝑝1, 𝑝2 are prime numbers, 𝑛 is a natural number, and with 𝜇1, 𝜇2, 𝜇3 being fixed positive constants satisfying 𝜇1 + 𝜇2 + 𝜇3 = 1.