On the Convergence of \((p_1,\cdots,p_n)\)-multiple Series
Pebrudal Zanu, Dian Maharani, Robby

Institut Teknologi Bandung, UIN Maulana Malik Ibrahim Malang

Abstract

It is a basic fact that a \(p\)-series is a convergent series if \(p>1\). We generalize the \(p\)-series into the form of \((p_1,\cdots,p_n)\)-multiple series. Through a few Lemmas we derive a necessary and sufficient condition for such multiple series to converge.

Keywords: \(p\)-series, \((p_1,\cdots,p_n)\)-multiple Series

Topic: Others