Arindam Roy

activity

20112019

most citedMoments of averages of generalized Ramanujan sums

20 citations · 27 across the 5 of their papers we have counts for

collaborators

Showing 2011Show all

2 papers · 1 filter

math.CA2011

Convexity of Quotients of Theta Functions

Atul Dixit, Arindam Roy, Alexandru Zaharescu

For fixed $u$ and $v$ such that $0 \leq u < v < 1/2$ , the monotonicity of the quotients of Jacobi theta functions, namely, $θ_{j} (u ∣ iπ t) / θ_{j} (v ∣ iπ t)$ , $j = 1, 2, 3, 4$ , on $0 < t < \infty$ h…

math.AP2011★ 7 cited

Sums of magnetic eigenvalues are maximal on rotationally symmetric domains

Richard S. Laugesen, Jian Liang, Arindam Roy

The sum of the first n energy levels of the planar Laplacian with constant magnetic field of given total flux is shown to be maximal among triangles for the equilateral triangle, u…