On Nörlund method of summability in non-Archimedean fields (Q1330825)

\textit{V. K. Srinivasan} [Nederl. Akad. Wet., Proc., Ser. A 68, 319-325 (1965; Zbl 0128.280)] introduced summation methods in a complete nontrivial valued, non-Archimedean field where he has proved that \(p_ n \to 0\) as \(n \to \infty\) is a sufficient condition for \((N, p_ n)\) to be regular. In this paper the author establishes that the condition is also necessary for regularity. Further he establishes the consistency and equivalence of two Nörlund methods.