3 papers
math.NT2022
Around a question of Baker
Neelam Kandhil, Purusottam Rath
For any positive integer , it is a question of Baker whether the numbers , where runs over the non-trivial characters mod , are linearly independent over $\mathb…
math.NT2019
On two problems of Hardy and Mahler
Patrice Philippon, Purusottam Rath
It is a classical result of Mahler that for any rational number > 1 which is not an integer and any real 0 < c < 1, the set of positive integers n such that n < c n is nece…
math.NT2018
Transcendental sums related to the zeros of zeta functions
Sanoli Gun, M. Ram Murty, Purusottam Rath
While the distribution of the non-trivial zeros of the Riemann zeta function constitutes a central theme in Mathematics, nothing is known about the algebraic nature of these non-tr…