2 papers
math.NT2023
A reciprocity theorem for the Cohen-Ramanujan sums and its application to Cohen-Ramanujan expansions in the second variable
K Vishnu Namboothiri, Vinod Sivadasan
For an arithmetical function , its Ramanujan expansion is a series expansion in the form where are complex numbers and $c_k(n…
math.NT2023
On an identity of Delange and its application to Cohen-Ramanujan expansions
Vinod Sivadasan, K Vishnu Namboothiri
Srinivasa Ramanujan provided Fourier series expansions of certain arithmetical functions in terms of the exponential sum defined by $c_q(n)=\sum\limits_{\substack{{m=1}\\(m,q)=1}}^…