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A shifted sum for the congruent number problem.
- Source :
- Ramanujan Journal; Feb2020, Vol. 51 Issue 2, p267-274, 8p
- Publication Year :
- 2020
-
Abstract
- We introduce a shifted convolution sum that is parametrized by the squarefree natural number t. The asymptotic growth of this series depends explicitly on whether or not t is a congruent number, an integer that is the area of a rational right triangle. This series presents a new avenue of inquiry for the congruent number problem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 13824090
- Volume :
- 51
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Ramanujan Journal
- Publication Type :
- Academic Journal
- Accession number :
- 141292439
- Full Text :
- https://doi.org/10.1007/s11139-018-0131-7