Diophantine approximation with prime variables and mixed powers

Diophantine approximation with prime variables and mixed powers
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DOI:
10.1007/s11139-019-00167-8
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发表时间:
2019-08
期刊:
The Ramanujan Journal
影响因子:
--
通讯作者:
Yunyun Qu;Jiwen Zeng
Yunyun Qu;Jiwen Zeng
中科院分区:
其他
文献类型:
--
作者:
Yunyun Qu;Jiwen Zeng

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设是正的真实的数,是无理数和代数数.让一个间隔良好的序列,和。证明了对任意给定的正整数,且对任意的素数无解的个数不超过,其中,且。
Suppose thatare positive real numbers andis irrational and algebraic. Letbe a well-spaced sequence,and. We show that for any given positive integerand for any, the number ofwithfor whichhas no solution in primesdoes not exceed, whereand.