1 citations · 2 across the 5 of their papers we have counts for
5 papers
On the moments of averages of Ramanujan sums
Shivani Goel, M. Ram Murty
Chan and Kumchev studied averages of the first and second moments of Ramanujan sums. In this article, we extend this investigation by estimating the higher moments of averages of R…
Moments of Averages of Ramanujan Sums over Number Fields
Sneha Chaubey, Shivani Goel
Assuming the generalized Lindelöf hypothesis, we provide asymptotic formulas for the mean values of the first and second moments of Ramanujan sums over any number field. Additional…
Pair correlation of real-valued vector sequences
Sneha Chaubey, Shivani Goel
In this article, we investigate the fine-scale statistics of real-valued arithmetic sequences. In particular, we focus on real-valued vector sequences and show the Poissonian behav…
Distance matrix of enhanced power graphs of finite groups
Anita Arora, Hiranya Kishore Dey, Shivani Goel
The enhanced power graph of a group is the graph with vertex set and edge set $ \{(u,v): u, v \in \langle w \rangle,~\mbox{for some}~ w \in G\}$. In this…
On the distribution of index of Farey Sequences
Bittu, Sneha Chaubey, Shivani Goel
In this article, we study the distribution of index of Farey fractions which was first introduced and studied by Hall and Shiu. We provide asymptotic formulas for moments of index…