Nilotpal Sinha

activity

20102026

most citedOn a new property of primes that leads to a generalization of Cramer's conjecture

3 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.GM2026

Asymptotic Formulae For Reciprocal Partitions

Nilotpal Kanti Sinha

For integers $1 \leq m \leq n$ , let $s (n, m)$ denote the number of $m$ -tuples $(k_{1}, \dots, k_{m})$ of nonnegative integers satisfying \[ n=\sum_{j=1}^{m}\frac{k_j}{j}. \] We obtain a comp…

math.GM2026

Chebyshev Bias for Largest Prime Factors

Nilotpal Kanti Sinha

Let $P^{+} (n)$ be the largest prime factor of $n$ , and let $χ = χ_{- 4}$ be $1$ on primes $1 (mod 4)$ and $- 1$ on primes $3 (mod 4)$ . For fixed $k \geq 2$ we study \[ D_k(x)=\sum_{\substack{n\…

cs.NE2020

Evolving Neural Architecture Using One Shot Model

Nilotpal Sinha, Kuan-Wen Chen

Neural Architecture Search (NAS) is emerging as a new research direction which has the potential to replace the hand-crafted neural architectures designed for specific tasks. Previ…

math.HO2012

On the half line: K. Ramachandra

Nilotpal Kanti Sinha

A short biographical note on the life and works of K. Ramachandra, one of the leading mathematicians in the field of analytic number theory in the second half of the twentieth cent…

math.NA2011

A general model of regression using iterative series

Nilotpal Kanti Sinha

We present a new and general method of weighted least square univariate regression where the dependent variable is expanded as a series of suitably chosen functions of the independ…

math.NT2010★ 3 cited

On a new property of primes that leads to a generalization of Cramer's conjecture

Nilotpal Kanti Sinha

I present a new property of prime numbers that leads to a generalization of Cramer's conjecture. The study of the gap between consecutive primes is treated as a special case of the…