• On the Dimension of Chowla–Milnor Space

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/122/03/0313-0317

• # Keywords

Hurwitz zeta function; Chowla–Milnor spaces.

• # Abstract

In a recent work, Gun, Murty and Rath defined the Chowla–Milnor space and proved a non-trivial lower bound for these spaces. They also obtained a conditional improvement of this lower bound and noted that an unconditional improvement of their lower bound will lead to irrationality of $\zeta(k)/\pi^k$ for odd positive integers $k&gt;1$. In this paper, we give an alternate proof of their theorem about the conditional lower bound.

• # Author Affiliations

1. The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600 113, India

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019