22 citations · 77 across the 21 of their papers we have counts for
26 papers
Resurgence number of graded families of ideals
Tài Huy Hà, Arvind Kumar, Hop D. Nguyen +1
We define the resurgence and asymptotic resurgence numbers associated to a pair of graded families of ideals in a Noetherian ring. These notions generalize the well-studied resurge…
Coprimality of Fourier coefficients of eigenforms
Satadal Ganguly, Arvind Kumar, Moni Kumari
Given a pair of distinct non-CM normalized eigenforms having integer Fourier coefficients and , we count positive integers with and make…
On signs of Hecke eigenvalues of Siegel eigenforms
Arvind Kumar, Jaban Meher, Karam Deo Shankhadhar
In this article, we distinguish Siegel cuspidal eigenforms of degree two on the full symplectic group from the signs of their Hecke eigenvalues. To establish our theorem, we obtain…
On the Lang--Trotter conjecture for Siegel modular forms
Arvind Kumar, Moni Kumari, Ariel Weiss
Let be a genus two cuspidal Siegel modular eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated to , generalising…
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…
Ramanujan-style congruences for prime level
Arvind Kumar, Moni Kumari, Pieter Moree +1
We establish Ramanujan-style congruences modulo certain primes between an Eisenstein series of weight , prime level and a cuspidal newform in the -eigens…