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- W2074723072 abstract "We study the Hardy–Littlewood method for the Laurent series field F q ((1/ T )) over the finite field F q with q elements. We show that if λ 1 , λ 2 , λ 3 are non-zero elements in F q ((1/ T )) satisfying λ 1 / λ 2 ∉ F q ( T ) and sgn ( λ 1 )+ sgn ( λ 2 )+ sgn ( λ 3 )=0,then the values of the sum λ 1 P 1 + λ 2 P 2 + λ 3 P 3 , as P i ( i =1, 2, 3) run independently through all monic irreducible polynomials in F q [ T ], are everywhere dense on the “non-Archimedean” line F q ((1/ T )), where sgn( f )∈ F q denotes the leading coefficient of f ∈ F q ((1/ T ))." @default.
- W2074723072 created "2016-06-24" @default.
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- W2074723072 date "1999-09-01" @default.
- W2074723072 modified "2023-09-26" @default.
- W2074723072 title "Diophantine Inequalities for Polynomial Rings" @default.
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- W2074723072 doi "https://doi.org/10.1006/jnth.1999.2390" @default.
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