4 papers
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…
On Some Generalisations of Gauss Sequences
Sathyanarayan Narayan, N. Uday Kiran
In this paper, we introduce integer sequences satisfying new congruence properties inspired by the Euler and Gauss congruences, which we call Euler--Gauss sequences. Noting that ev…
An Algebraic Generalization of the Ramanujan Sum
N. Uday Kiran
Ramanujan sums have attracted significant attention in both mathematical and engineering disciplines due to their diverse applications. In this paper, we introduce an algebraic gen…
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…