4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.CV2022
Automorphic Forms and Holomorphic Functions on the Upper Half-plane
Md. Shafiul Alam
We define a set of holomorphic functions in terms of the Hauptmodul of a quotient Riemann surface and prove that these functions are holomorphic on the upper half-plane. It is also…
math.CV2021
Geometric deduction of the solutions to modular equations
Md. Shafiul Alam, Toshiyuki Sugawa
In his notebooks, Ramanujan presented without proof many remarkable formulae for the solutions to generalized modular equations. Much later, proofs of the formulae were provided by…
cs.DS2012★ 4 cited
Improved upper and lower bounds for the point placement problem
Md. Shafiul Alam, Asish Mukhopadhyay
The point placement problem is to determine the positions of a set of distinct points, P = {p1, p2, p3, ..., pn}, on a line uniquely, up to translation and reflection, from the…