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math.NT2019
Optimal bounds for Büchi's problem in modular arithmetic II
Pablo Sáez, Xavier Vidaux, Maxim Vsemirnov
Given a prime and an integer , we show that there exists an integer such that for any quadratic polynomial with coefficients in the ring of integers modulo $…
math.NT2010
A characterization of Büchi's integer sequences of length 3
Pablo Saéz, Xavier Vidaux
We give a new characterization of generalized Büchi sequences (sequences whose sequence of squares has constant second difference , for some fixed integer ) of length 3 ove…