4 papers
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.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.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…
math.PR2025
Rabbit Hunting using Set Theory and Probability
Sunil Chebolu, Deepayan Sarakar
Imagine an invisible rabbit that starts at some unknown integer point on the number line. At each time step, it hops by a fixed but unknown integer stride . Both and …