Bounds for prime solutions of some diagonal equations. II
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- by Ming Chit Liu PDF
- Trans. Amer. Math. Soc. 297 (1986), 415-426 Request permission
Abstract:
Let ${b_j}$ and $m$ be certain integers. In this paper we obtain a bound for prime solutions ${p_j}$ of the diagonal equations of order $k,\;{b_1}p_1^k + \cdots + {b_s}p_s^k = m$. The bound obtained is ${C^{{{(\log B)}^2}}} + C|m{|^{1/k}}$ where $B = {\max _j}\{ e,|{b_j}|\}$ and $C$ are positive constants depending at most on $k$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 297 (1986), 415-426
- MSC: Primary 11D41; Secondary 11P55
- DOI: https://doi.org/10.1090/S0002-9947-1986-0854075-3
- MathSciNet review: 854075