2 citations · 2 across the 6 of their papers we have counts for
6 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…
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…
Comparing Hecke eigenvalues of newforms
Liubomir Chiriac
Given two distinct newforms with real Fourier coefficients, we show that the set of primes where the Hecke eigenvalues of one of them dominate the Hecke eigenvalues of the other ha…
Irreducible adjoint representations in prime power dimensions, with an application
Liubomir Chiriac
We construct an infinite family of representations of finite groups with an irreducible adjoint action and we give an application to the question of lacunary of Frobenius traces in…