Hensleyʼs problem for complex and non-Archimedean meromorphic functions

Büchiʼs problem asks if there exists a positive integer M such that all x 1 , … , x M ∈ Z satisfying the equations x r 2 − 2 x r − 1 2 + x r − 2 2 = 2 for all 3 ⩽ r ⩽ M must also satisfy x r 2 = ( x + r ) 2 for some integer x. Hensleyʼs problem asks if there exists a positive integer M such that, fo...

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