3 citations · 9 across the 18 of their papers we have counts for
Showing 2016Show all
2 papers · 1 filter
math.NT2016
On a theorem of A. I. Popov on sums of squares
Bruce C. Berndt, Atul Dixit, Sun Kim +1
Let denote the number of representations of the positive integer as the sum of squares. In 1934, the Russian mathematician A.~I.~Popov stated, but did not rigorous…
math.NT2016
New pathways and connections in Number Theory and Analysis motivated by two incorrect claims of Ramanujan
Bruce C. Berndt, Atul Dixit, Arindam Roy +1
We focus on three pages in Ramanujan's lost notebook, pages 336, 335, and 332, in decreasing order of attention. On page 336, Ramanujan proposes two identities, but the formulas ar…