• On the Dimension of Chowla–Milnor Space

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    • 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 $k>1$. In this paper, we give an alternate proof of their theorem about the conditional lower bound.

    • Author Affiliations


      Tapas Chatterjee1

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

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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