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- W2948782808 abstract "Abstract Suppose that λ 1 , λ 2 , λ 3 , λ 4 , λ 5 are nonzero real numbers, not all of the same sign, λ 1 / λ 2 is irrational, λ 2 / λ 4 and λ 3 / λ 5 are rational. Let η real, and ε > 0. Then there are infinitely many solutions in primes p j to the inequality $begin{array}{} displaystyle |lambda_1p_1+lambda_2p_2^2+lambda_3p_3^3+lambda_4p_4^4+lambda_5p_5^5+eta| lt (max{p_j^j})^{-1/32+varepsilon} end{array}$ . This improves an earlier result under extra conditions of λ j ." @default.
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- W2948782808 date "2019-05-30" @default.
- W2948782808 modified "2023-10-01" @default.
- W2948782808 title "On Diophantine approximation by unlike powers of primes" @default.
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- W2948782808 doi "https://doi.org/10.1515/math-2019-0045" @default.
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