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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