Arvind Kumar

activity

20162023

most citedRegularity of powers of quadratic sequences with applications to binomial ideals

22 citations · 77 across the 21 of their papers we have counts for

collaborators

Showing 2021Show all

5 papers · 1 filter

math.AC2021

Binomial expansion for saturated and symbolic powers of sums of ideals

Huy Tai Ha, A. V. Jayanthan, Arvind Kumar +1

There are two different notions for symbolic powers of ideals existing in the literature, one defined in terms of associated primes, the other in terms of minimal primes. Elaborati…

math.NT2021

Ramanujan-style congruences for prime level

Arvind Kumar, Moni Kumari, Pieter Moree +1

We establish Ramanujan-style congruences modulo certain primes $ℓ$ between an Eisenstein series of weight $k$ , prime level $p$ and a cuspidal newform in the $ε$ -eigens…

math.AC2021★ 1 cited

On the resurgence and asymptotic resurgence of homogeneous ideals

A. V. Jayanthan, Arvind Kumar, Vivek Mukundan

Let $K$ be a field and $R = K [x_{1}, \dots, x_{n}]$ . We obtain an improved upper bound for asymptotic resurgence of squarefree monomial ideals in $R$ . We study the e…

math.NT2021

Divisors of Fourier coefficients of two newforms

Arvind Kumar, Moni Kumari

For a pair of distinct non-CM newforms of weights at least 2, having rational integral Fourier coefficients $a_{1} (n)$ and $a_{2} (n)$ , under GRH, we obtain an estimate for the set…

math.AC2021

Rees algebra and special fiber ring of binomial edge ideals of closed graphs

Arvind Kumar

In this article, we compute the regularity of Rees algebra of binomial edge ideals of closed graphs. We obtain a lower bound for the regularity of Rees algebra of binomial edge ide…