3 citations · 7 across the 9 of their papers we have counts for
10 papers
Lacunary recurrences and 2-adic properties of Eisenstein series
Liubomir Chiriac, Andrei Jorza
We study the rational coefficients that arise when the Eisenstein series is expressed as a polynomial in and , proving a conjecture that gives an exact formula for…
The variation of zeros of the Miller basis
Liubomir Chiriac, Andrei Jorza
We exhibit a connection between the variation of zeros in the Miller basis of modular forms and a logarithmic version of the Szegő curve, where…
Parahoric level -adic -functions for automorphic representations of with Shalika models
Mladen Dimitrov, Andrei Jorza
We construct -adic -functions for regularly refined cuspidal automorphic representations of symplectic type on over totally real fields, which are pa…
On the GL(2n) eigenvariety: branching laws, Shalika families and -adic -functions
Daniel Barrera Salazar, Mladen Dimitrov, Andrew Graham +2
In this paper, we prove that a -eigenvariety is étale over the (pure) weight space at non-critical Shalika points, and construct multi-variable -adic -functi…
Newton Polygons of Hecke Operators
Liubomir Chiriac, Andrei Jorza
In this computational paper we verify a truncated version of the Buzzard-Calegari conjecture on the Newton polygon of the Hecke operator for all large enough weights. We firs…
Comparing Hecke Coefficients of Automorphic Representations
Liubomir Chiriac, Andrei Jorza
We prove a number of unconditional statistical results of the Hecke coefficients for unitary cuspidal representations of over number fields. Using partial bo…
-adic -functions of Hilbert cusp forms and the trivial zero conjecture
Daniel Barrera, Mladen Dimitrov, Andrei Jorza
We prove a strong form of the trivial zero conjecture at the central point for the -adic -function of a non-critically refined self-dual cohomological cuspidal automorphic re…
On symmetric power L-invariants of Iwahori level Hilbert modular forms
Robert Harron, Andrei Jorza
We compute the arithmetic L-invariants (of Greenberg-Benois) of twists of symmetric powers of p-adic Galois representations attached to Iwahori level Hilbert modular forms (under s…
Lagrangian 4-planes in holomorphic symplectic varieties of K3^[4] type
Benjamin Bakker, Andrei Jorza
We classify the cohomology classes of Lagrangian 4-planes in a smooth manifold deformation equivalent to a Hilbert scheme of 4 points on a surface, up to the monodro…
Higher rank stable pairs on K3 surfaces
Benjamin Bakker, Andrei Jorza
We define and compute higher rank analogs of Pandharipande-Thomas stable pair invariants in primitive classes for K3 surfaces. Higher rank stable pair invariants for Calabi-Yau thr…