23 citations · 58 across the 23 of their papers we have counts for
7 papers · 1 filter
Arithmetic Monodromy in Sp(2n)
Jitendra Bajpai, Daniele Dona, Martin Nitsche
Based on a result of Singh--Venkataramana, Bajpai--Dona--Singh--Singh gave a criterion for a discrete Zariski-dense subgroup of Sp(2n,Z) to be a lattice. We adapt this criterion so…
Thin monodromy in O(5)
Jitendra Bajpai, Martin Nitsche
This article studies the orthogonal hypergeometric groups of degree five. We establish the thinness of 12 out of the 19 hypergeometric groups of type O(3,2) from [4, Table 6]. Some…
Commentary on Sp(6) hypergeometric groups
Jitendra Bajpai
We study the examples mentioned in [2,Tables A & C] and establish the arithmeticity of four examples of symplectic hypergeometric groups of degree six. Following [2] we know that t…
Bloch-Beilinson conjectures for Hecke characters and Eisenstein cohomology of Picard surfaces
Jitendra Bajpai, Mattia Cavicchi
We consider certain families of Hecke characters over a quadratic imaginary field . According to the Bloch-Beilinson conjectures, the order of vanishing of the -function…
Lifting of vector-valued automorphic forms
Jitendra Bajpai, Subham Bhakta
Recently, the first author [1] showed that the admissible vector-valued automorphic forms lift to the admissible ones. In this article, we study the lifts for the logarithmic vecto…
Bilateral series and Ramanujan's radial limits
Jitendra Bajpai, Susie Kimport, Jie Liang +2
Ramanujan's last letter to Hardy explored the asymptotic properties of modular forms, as well as those of certain interesting -series which he called \emph{mock theta functions}…
Arithmeticity of Some Hypergeometric Groups
Jitendra Bajpai, Sandip Singh, Shashank Vikram Singh
We show that the hypergeometric groups associated to the pairs of the parameters , $\left(\frac{1}{2},\frac{1}{2},\frac{1}{4},\frac{3}{4}…