3 papers
math.NT2025
Maps preserving the sum-to-difference ratio
Sunil Chebolu, Apoorva Khare, Anindya Sen
For a field , what are all functions that satisfy the functional equation $f \left( (x+y)/(x-y) \right) = (f(x) + f(y))/(f(…
math.NT2025
Maps preserving the sum-to-difference ratio in characteristic
Sunil Chebolu, Apoorva Khare, Anindya Sen
Given a field , we introduce a novel group of its self-maps: the solutions to the functional equati…
math.HO2025
The complexities of falling freely
Anindya Sen, Sunil Chebolu
Suppose you drop a coin from 10 feet above the ground. How long does it take to reach the ground? This routine exercise is well-known to every AP physics and calculus student: the…