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- W3043712095 abstract "We prove that the equation ${ (x - y)^4 + x^4 + (x + y)^4 = z^n }$ has no integer solutions ${ x, y, z}$ with ${ gcd(x, y) = 1 }$ for all integers ${ n > 1 }$. We mainly use a modular approach with two Frey ${ mathbb{Q} }$-curves defined over the field ${ mathbb{Q}( sqrt{30} ) }$." @default.
- W3043712095 created "2020-07-23" @default.
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- W3043712095 date "2020-10-29" @default.
- W3043712095 modified "2023-10-01" @default.
- W3043712095 title "On the sum of fourth powers in arithmetic progression" @default.
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- W3043712095 doi "https://doi.org/10.1142/s1793042121500093" @default.
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