15 citations · 58 across the 22 of their papers we have counts for
4 papers · 2 filters
Bertrand's Postulate for Number Fields
Thomas A. Hulse, M. Ram Murty
Consider an algebraic number field, , and its ring of integers, . There exists a smallest such that for any we can find a prime ideal, $\mathfrak{p}…
On the error term in a Parseval type formula in the theory of Ramanujan expansions II
Giovanni Coppola, M. Ram Murty, Biswajyoti Saha
For two arithmetical functions and with absolutely convergent Ramanujan expansions, Murty and Saha have recently derived asymptotic formulas with error term for the convolu…
On the error term in a Parseval type formula in the theory of Ramanujan expansions
M. Ram Murty, Biswajyoti Saha
Given two arithmetical functions we derive, under suitable conditions, asymptotic formulas with error term, for the convolution sums , building on…
On a conjecture of Erdös and certain Dirichlet series
Tapas Chatterjee, M. Ram Murty
Let be such that for , and . Then Erdös conjectured that . For even, this is trivially…