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Small solutions of quadratic equations with prime variables in arithmetic progressions |
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| Authors: | Tian Ze Wang |
| Institution: | (1) School of Mathematics and Information Sciences, He’nan University, Kaifeng, 475001, P. R. China;(2) School of Mathematics and Information Sciences, North China University of Water Conservancy and Electric Power, Zhengzhou, 450011, P. R. China |
| Abstract: | A necessary and sufficient solvable condition for diagonal quadratic equation with prime variables in arithmetic progressions is given, and the best qualitative bound for small solutions of the equation is obtained. The project is supported partially by the National Natural Science Foundation of China (Grant No. 10671056) |
| Keywords: | quadratic equation prime variable small solution arithmetic progression |
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