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On pairs of quadratic equations in primes and powers of 2.
- Source :
-
Journal of Number Theory . Oct2013, Vol. 133 Issue 10, p3339-3347. 9p. - Publication Year :
- 2013
-
Abstract
- Abstract: In this short paper, it is proved that every pair of large positive even integers satisfying some necessary conditions can be represented in the form of a pair of quadratic equations in prime variables and k powers of 2. In particular, we have . We also consider the similar result for cubic equations. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022314X
- Volume :
- 133
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Number Theory
- Publication Type :
- Academic Journal
- Accession number :
- 88988525
- Full Text :
- https://doi.org/10.1016/j.jnt.2013.04.006