# Journal of the Ramanujan Mathematical Society

Volume 34, Issue 4, December 2019 pp. 411–416.

A note on the arithmetic Chowla-Milnor space

**Authors**:
Abhishek T. Bharadwaj

**Author institution:**Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Chennai 603 103, India

**Summary: **
Milnor, motivated by a work of P. Chowla and S. Chowla, formulated
a conjecture about linear independence of some special Hurwitz
zeta values over the field of rational numbers. In
[7,8], Gun, et al. derived non-trivial lower
bounds of the dimension of the space generated by these Hurwitz
zeta values over certain family of number fields. This they did by
working with a natural subspace. In this note, we study the
dimensions of these canonical subspaces over any arbitrary number
field.

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