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arXiv · 2111.12069

Some new results in quantitative Diophantine approximation

Anish Ghosh·V. Vinay Kumaraswamy
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Abstract

In this article we establish two new results on quantitative Diophantine approximation for one-parameter families of diagonal ternary indefinite forms. In the first result, we consider quadratic forms taking values at prime points. In the second, we examine inhomogeneous forms of arbitrary degree taking values at integer points.

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Anish Ghosh, V. Vinay Kumaraswamy. 2021-11-23. Some new results in quantitative Diophantine approximation. https://doi.org/10.1093/imrn%2Frnac159

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