ON p-ADIC INTERPOLATION IN TWO OF MAHLER’S PROBLEMS

Motivated by the p-adic approach in two of Mahler’s problems, we obtain some results on p-adic analytic interpolation of sequences of integers $(u_n)_{n\geq 0}$ . We show that if $(u_n)_{n\geq 0}$ is a sequence of integers with $u_n = O(n)$ which can be p-adically interpolated by an analytic functio...

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Veröffentlicht in:	Bulletin of the Australian Mathematical Society 2023-08, Vol.108 (1), p.69-80
Hauptverfasser:	DE PAULA MIRANDA, BRUNO, LELIS, JEAN
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Analytic functions Graphs Integers Interpolation Mathematical analysis Mathematical functions Numbers Polynomials
Online-Zugang:	Volltext
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