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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…