3 papers
math.NT2025
Some Generalizations of Totient Function with Elementary Symmetric Sums
Udvas Acharjee, N. Uday Kiran
We generalize certain totient functions using elementary symmetric polynomials and derive explicit product forms for the totient functions involving the second elementary symmetric…
math.GM2025
Further Generalization of Ramanujan Sums with Regular A-Functions
Udvas Acharjee, N. Uday Kiran
In the study of Ramanujan sums, the so-called regular -function is a set-valued multiplicative function that tracks certain subsets of the divisor sets of natural numbers. McCar…
math.GR2023
Root Extraction in Finite Abelian Groups
Udvas Acharjee, M S Srinath
We formulate the Root Extraction problem in finite Abelian -groups and then extend it to generic finite Abelian groups. We provide algorithms to solve them. We also give the bou…