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On the powerful part of n 2 + 1

Jan-Christoph Puchta (2003)

Archivum Mathematicum

We show that n 2 + 1 is powerfull for O ( x 2 / 5 + ϵ ) integers n x at most, thus answering a question of P. Ribenboim.

On the quasi-periodic p -adic Ruban continued fractions

Basma Ammous, Nour Ben Mahmoud, Mohamed Hbaib (2022)

Czechoslovak Mathematical Journal

We study a family of quasi periodic p -adic Ruban continued fractions in the p -adic field p and we give a criterion of a quadratic or transcendental p -adic number which based on the p -adic version of the subspace theorem due to Schlickewei.

Currently displaying 901 – 920 of 1554