14 citations · 42 across the 16 of their papers we have counts for
16 papers
Regularized spectral expansion of a Rankin--Selberg period and moments
Jakub Dobrowolski, Subhajit Jana, Ramon Nunes
We establish a regularized spectral decomposition of the squared magnitude of a maximal degenerate Eisenstein series as a Schwartz distribution on . Although the ori…
On the spectral aspect density hypothesis and application
Edgar Assing, Subhajit Jana
We prove that the density of non-tempered (at any -adic place) cuspidal representations for , varying over a family of representations ordered by thei…
On Fourier asymptotics and effective equidistribution
Shreyasi Datta, Subhajit Jana
We prove effective equidistribution of expanding horocycles in with respect to various classes of Borel probability m…
Moments of -functions via a relative trace formula
Subhajit Jana, Ramon Nunes
We prove an asymptotic formula for the second moment of the Rankin--Selberg central -values , where is a fixed cuspi…
Optimal Diophantine Exponents for
Subhajit Jana, Amitay Kamber
The \emph{Diophantine exponent} of an action of a group on a homogeneous space, as defined by Ghosh, Gorodnik, and Nevo, quantifies the complexity of approximating the points of th…
On the local -Bound of the Eisenstein Series
Subhajit Jana, Amitay Kamber
We study the growth of the local -norms of the unitary Eisenstein series for reductive groups over number fields, in terms of their parameters. We derive a \emph{poly-logarith…
Spectral reciprocity for and simultaneous non-vanishing of central -values
Subhajit Jana, Ramon Nunes
Let be a totally real number field and . Let and be cuspidal automorphic representations for and , respectively,…
One-pot Liquid-Phase Synthesis of MoS-WS van der Waals Heterostructures for Broadband Photodetection
Shaona Bose, Subhrajit Mukherjee, Subhajit Jana +2
Two dimensional (2D) van der Waals heterostructures (vdWHs) have their unique potential in facilitating the stacking of layers of different 2D materials for optoelectronic devices…
Joint equidistribution on the product of the circle and the unit tangent bundle of the modular surface
Subhajit Jana
We use spectral method to prove a joint equidistribution of primitive rational points and the same along expanding horocycle orbits in the products of the circle and the unit cotan…
The Weyl bound for triple product L-functions
Valentin Blomer, Subhajit Jana, Paul D. Nelson
Let be three cuspidal automorphic representations for the group , where and are fixed and has large conductor. We prove a su…
The second moment of Rankin--Selberg -functions
Subhajit Jana
We prove an asymptotic expansion of the second moment of the central values of the Rankin--Selberg -functions , for a fi…
A combinatorial viewpoint on preserving notion of largeness and an abstract Rado theorem
Sayan Goswami, Subhajit Jana
In this paper we will systematically study the preservation of the notion of largeness of sets, arises from the algebraic structure of Stone-Cech compactification, under homomorphi…
Applications of analytic newvectors for
Subhajit Jana
We provide a few natural applications of the analytic newvectors, initiated in \cite{JN} arXiv:1911.01880, to some analytic questions in automorphic forms for $\mathrm{PGL}_n(\math…
Analytic newvectors for
Subhajit Jana, Paul D. Nelson
We relate the analytic conductor of a generic irreducible representation of to the invariance properties of vectors in that representation. The relation…
Abundance of Progression in commutative semigroup by elementary means
Sayan Goswami, Subhajit Jana
Furstenberg and Glasner proved that for an arbitrary k in N, any piecewise syndetic set contains k term arithmetic progression and such collection is also piecewise syndetic in Z.…
Supnorm of an eigenfunction of finitely many Hecke operators
Subhajit Jana
Let be a Laplace eigenfunction on a compact hyperbolic surface attached to an order in a quaternion algebra. Assuming that is an eigenfunction of Hecke operators at a \emph…