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- W2252963501 abstract "In this paper, we show that if $lambda_{1}$ , $lambda_{2}$ , $lambda_{3}$ , $lambda _{4}$ , $lambda_{5}$ are nonzero real numbers not all of the same sign, η is real, $0<sigma<frac{1}{720}$ , and at least one of the ratios $lambda_{i}/lambda_{j}$ ( $1leq i< jleq5$ ) is irrational, then the inequality $|lambda_{1}p_{1}+lambda_{2}p_{2}^{2}+lambda_{3}p_{3}^{3}+lambda_{4}p_{4}^{4}+lambda _{5}p_{5}^{5}+eta|<(max_{ 1leq jleq5}{p_{j}^{j}})^{-sigma}$ has infinite solutions with primes $p_{1}$ , $p_{2}$ , $p_{3}$ , $p_{4}$ , $p_{5}$ ." @default.
- W2252963501 created "2016-06-24" @default.
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- W2252963501 date "2016-01-28" @default.
- W2252963501 modified "2023-10-04" @default.
- W2252963501 title "One Diophantine inequality with unlike powers of prime variables" @default.
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- W2252963501 doi "https://doi.org/10.1186/s13660-016-0983-6" @default.
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