3 papers
physics.hist-ph2026
C.V. Raman's Exploration in Optics -- A Spectrum of History
G. V. Pavan Kumar
C.V. Raman (1888-1970) was one of the pioneering scientists to have emerged from India during the colonial era. His scientific explorations were driven by his curiosity to understa…
math.CO2025
Some identities of the sums-of-tails type
Atul Dixit, Gaurav Kumar, Aviral Srivastava
A new sums-of-tails identity involving two parameters and is obtained and is used to derive more results of similar type. One of Ramanujan's sums-of-tails identities from t…
math.CO2025
Non-Rascoe partitions and a rank parity function associated to the Rogers-Ramanujan partitions
Atul Dixit, Gaurav Kumar, Aviral Srivastava
We study the generating function of the excess number of Rogers-Ramanujan partitions with odd rank over those with even rank, and, using combinatorial and analytical techniques, sh…