Quadratic equations with five prime unknowns |
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| Authors: | Stephen Kwok-Kwong Choi Angel V Kumchev |
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| Affiliation: | a Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, Canada V5A 1S6
b Department of Mathematics, 1 University Station C1200, The University of Texas at Austin, Austin, TX 78712, USA |
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| Abstract: | Let b1,?,b5 be non-zero integers satisfying gcd(bi,bj,bk)=1, for 1?i<j<k?5 and |bj|?|b5| for 1?j?5 and n an integer satisfying  . In this paper we improve earlier work by M.C. Liu and Tsang and by the first author and J.Y. Liu. In particular, we prove that if bj are not all of the same sign, then the quadratic equation |
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| Keywords: | Quadratic equations Small prime solutions Hardy-Littlewood method |
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