El problema de Büchi para números p-ádicos = Büchi’s problem for p-adic numbers.

Abstract

Motivated by a mathematical logic problem, J.R. Buchi proposed the following problem in the early 1970’s. Problem (B¨uchi’s problem). B2(Z). Does there exist a positive integer M such that any sequence of M integer squares, with second difference constant equal to the constant sequence (2)n, is of the form ((x + n)2)n, where n =1, . . . ,M, for some integer x?