Diophantine equations with products of consecutive values of a quadratic polynomial |
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| Authors: | Shichun Yang Bo He |
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| Affiliation: | a Department of Mathematics, ABa Teacher?s College, Wenchuan, Sichuan 623000, PR China
b Mathematics Department, Purdue University North Central, 1401 S. U.S. 421, Westville, IN 46391, USA |
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| Abstract: | Let a, b, c, d be given nonnegative integers with a,d?1. Using Chebyshev?s inequalities for the function π(x) and some results concerning arithmetic progressions of prime numbers, we study the Diophantine equation |
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| Keywords: | primary, 11D09 secondary, 11B85 |
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