2 citations · 5 across the 8 of their papers we have counts for
8 papers
Decentralized network congestion control for DAG-based distributed ledger system
Mayank Pandey, Rachit Agarwal, Sandeep Kumar Shukla +1
We propose a variable and behavior-based node-specific proof-of-work (PoW) model for a directed acyclic graph (DAG)-based distributed ledger technology (DLT) network to mitigate de…
On the distribution of additive twists of the divisor function and Hecke eigenvalues
Mayank Pandey
We obtain asymptotics with a power saving error term for for , where is the divisor function. We also obtain…
Security of Healthcare Data Using Blockchains: A Survey
Mayank Pandey, Rachit Agarwal, Sandeep K. Shukla +1
The advancement in the healthcare sector is entering into a new era in the form of Health 4.0. The integration of innovative technologies like Cyber-Physical Systems (CPS), Big Dat…
Moment estimates for the exponential sum with higher divisor functions
Mayank Pandey
We obtain asymptotic for the quantity where . This follows from a quick application of the cir…
On the mean value of the magnitude of an exponential sum involving the divisor function
Mayank Pandey
We obtain an asymptotic formula for the L^1 norm of the exponential sum where is the divisor function. In particular, we show…
Moments of an exponential sum related to the divisor function
Mayank Pandey
We use the circle method to obtain tight bounds on the norm of an exponential sum involving the divisor function for .
On Eisenstein primes
Mayank Pandey
In this paper, we prove that there are infinitely many primes of the form such that is also prime. To prove this, we follow along the lines of t…
On the Waring-Goldbach Problem for tenth powers
Mayank Pandey
Using sharper Weyl sum estimates, we show that , improving upon the previous bound of .