Wronskians of theta functions and series for 1/π

Alexander Berkovich, Heng Huat Chan, Michael Schlosser

Veröffentlichungen: Working PaperPreprint

Abstract

In this article, we define functions analogous to Ramanujan's function f(m) defined in his famous paper "Modular equations and approximations to π". We then show how these new functions lead to simpler formulas for series for 1/π associated with the classical, cubic and quartic base.
OriginalspracheEnglisch
HerausgeberarXiv.org
PublikationsstatusVeröffentlicht - 2016

ÖFOS 2012

  • 101025 Zahlentheorie

Zitationsweisen