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- W3188369632 startingPage "1813" @default.
- W3188369632 abstract "Consider the Diophantine equation yn=x+x(x+1)+⋯+x(x+1)⋯(x+k), where x, y, n, and k are integers. In 2016, a research article, entitled – ’power values of sums of products of consecutive integers’, primarily proved the inequality n= 19,736 to obtain all solutions (x,y,n) of the equation for the fixed positive integers k≤10. In this paper, we improve the bound as n≤ 10,000 for the same case k≤10, and for any fixed general positive integer k, we give an upper bound depending only on k for n." @default.
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- W3188369632 date "2021-07-30" @default.
- W3188369632 modified "2023-09-23" @default.
- W3188369632 title "On the Ternary Exponential Diophantine Equation Equating a Perfect Power and Sum of Products of Consecutive Integers" @default.
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- W3188369632 doi "https://doi.org/10.3390/math9151813" @default.
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