12 citations · 37 across the 13 of their papers we have counts for
11 papers · 1 filter
CUDA-MPQS: A GPU-Resident Self-Initializing Quadratic Sieve, and the Factorization of RSA-155
Fabian Januszewski, Christoph Heinrichs
The quadratic sieve (QS) is an irregular, cache-hostile, branch-heavy integer factorization algorithm; prior GPU work accelerates individual stages of it. We present \swname{}, a s…
Locally algebraic representations and integral structures on the cohomology of arithmetic groups
Fabian Januszewski
This paper introduces the notion of locally algebraic representations and corresponding sheaves in the context of the cohomology of arithmetic groups. These representations are of…
-functions of -adic properties and non-vanishing of twists
Mladen Dimitrov, Fabian Januszewski, A. Raghuram
The principal aim of this article is to attach and study -adic -functions to cohomological cuspidal automorphic representations of over a totally real f…
Non-abelian -adic Rankin-Selberg -functions and non-vanishing of central -values
Fabian Januszewski
We prove new congruences between special values of Rankin-Selberg -functions for over arbitrary number fields. This allows us to control t…
On Period Relations for Automorphic L-functions II
Fabian Januszewski
We study Hecke algebras for pairs over arbitrary fields of characteristic , define the Bernstein functor and give another definition of the Zuckerman fun…
On Period Relations for Automorphic L-functions I
Fabian Januszewski
This paper is the first in a series of two dedicated to the study of period relations of the type $$ L(\frac{1}{2}+k,Π)\;\in\;(2πi)^{d\cdot k}Ω_{(-1)^k}{\mathbb Q}(Π),\quad \frac{1…
p-adic L-functions for Rankin-Selberg convolutions over number fields
Fabian Januszewski
We unconditionally construct cyclotomic p-adic L-functions for Rankin-Selberg convolutions for GL(n+1) x GL(n) over arbitrary number fields, and show that they satisfy an expected…
Rational Structures on Automorphic Representations
Fabian Januszewski
This paper proves the existence of global rational structures on spaces of cusp forms of general reductive groups. We identify cases where the constructed rational structures are o…
Algebraic Characters of Harish-Chandra Modules and Arithmeticity
Fabian Januszewski
These are expanded notes from lectures at the Workshop "Representation Theory and Applications" held at Yeditepe University, Istanbul, in honor of Roger E. Howe. They are supplemen…
On p-adic L-functions for over totally real fields
Fabian Januszewski
We refine and extend previous constructions of -adic -functions for Rankin-Selberg convolutions on $\GL(n)\times\GL(n-1)$ for regular algebraic representations over totally r…
Modular symbols for reductive groups and p-adic Rankin-Selberg convolutions over number fields
Fabian Januszewski
We give a construction of a wide class of modular symbols attached to reductive groups. As an application we construct a p-adic distribution interpolating the special values of the…