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- W2897975047 abstract "We construct several new families of non-congruent numbers with arbitrarily many prime factors congruent to 3 modulo 8. Our results generalize the work of Reinholz, Spearman and Yang [14]. Our methods are based on Monsky's formula on the 2-Selmer rank of the congruent elliptic curve and the recent results by Tian, Yuan and Zhang on the congruent number problem." @default.
- W2897975047 created "2018-10-26" @default.
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- W2897975047 date "2019-03-01" @default.
- W2897975047 modified "2023-10-14" @default.
- W2897975047 title "Some new families of non-congruent numbers" @default.
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- W2897975047 doi "https://doi.org/10.1016/j.jnt.2018.09.009" @default.
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