480 citations · 1.3k across the 55 of their papers we have counts for
54 papers
On the asymptotic distinct prime partitions of integers
M. V. N. Murthy, M. Brack, R. K. Bhaduri
We discuss , the number of ways a given integer may be written as a sum of distinct primes, and study its asymptotic form valid in the limit . We…
On the quantum origin of a small positive cosmological constant
Saurya Das, Rajat K. Bhaduri
We show that Dark Matter consisting of ultralight bosons in a Bose-Einstein condensate induces, via its quantum potential, a small positive cosmological constant which matches the…
Bose-Einstein condensate in cosmology
Saurya Das, R. K. Bhaduri
Applying the seminal work of Bose in 1924 on what was later known as Bose-Einstein statistics, Einstein predicted in 1925 that at sufficiently low temperatures, a macroscopic fract…
Semiclassical analysis of distinct square partitions
M. V. N. Murthy, Matthias Brack, Rajat K. Bhaduri +1
We study the number of partitions of an integer into sums of distinct squares and derive an integral representation of the function . Using semi-classical and quan…
On the asymptotic prime partitions of integers
Johann Bartel, R. K. Bhaduri, Matthias Brack +1
In this paper, we discuss P(n), the number of ways in which a given integer n may be written as a sum of primes. In particular, an asymptotic form P_as(n) valid for n towards infin…
Semi-classical and quantum description of an ideal Bose gas in a uniform gravitational field
Rajat K. Bhaduri, Wytse van Dijk
We consider an ideal Bose gas contained in a cylinder in three spatial dimensions, subjected to a uniform gravitational field. It has been claimed by some authors that there is dis…