5 papers
On -almost periodicity for a class of arithmetical functions
Kritika Aggarwal, Debika Banerjee, Shubham Gupta
In this paper, we establish the -almost periodicity in the sense of Besicovitch for a suitably normalized error term associated with a broad class of arithmetical fu…
A divisor function of Wigert and higher degree forms
Debika Banerjee, Atul Dixit, Rajat Gupta
Let . Wigert's divisor function counts the number of representations of of the form with . Let $\mat…
Trigonometric analogue of the identities associated with twisted sums of divisor functions
Debika Banerjee, Khyati Khurana
Inspired by two entries published in Ramanujan's lost notebook on Page 355, B. C. Berndt et al.\cite{MR3351542} presented Riesz sum identities for Ramanujan entries by introducing…
Character analogues of Cohen type identities and related Voronoi summation formulas
Debika Banerjee, Khyati Khurana
In \cite{MR2221114}, B.~C.~Berndt and A.~Zaharescu introduced the twisted divisor sums associated with the Dirichlet character while studying the Ramanujan's type identity involvin…
Distribution of values of general Euler totient function
Debika Banerjee, Bittu Chahal, Sneha Chaubey +1
Let be a general totient function introduced first by Cald…