On Diophantine quintuples and D(−1)-quadruples
نویسندگان
چکیده
In this paper the known upper bound 10 for the number of Diophantine quintuples is reduced to 6.8·10. The key ingredient for the improvement is that certain individual bounds on parameters are now combined with a more efficient counting of tuples, and estimated by sums over divisor functions. As a side effect, we also improve the known upper bound 4 ·10 for the number of D(−1)-quadruples to 5 · 10.
منابع مشابه
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تاریخ انتشار 2013