Application of automorphic forms to lattice problems
In this article, we propose a new approach to the study of lattice problems used in cryptography. We specifically focus on module lattices of a fixed rank over some number field.
Düzlü Samed, Krämer Juliane
doaj +1 more source
EULER SYSTEMS FOR HILBERT MODULAR SURFACES
We construct an Euler system—a compatible family of global cohomology classes—for the Galois representations appearing in the geometry of Hilbert modular surfaces.
ANTONIO LEI+2 more
doaj +1 more source
We extend the modularity lifting result of P. Kassaei (‘Modularity lifting in parallel weight one’,J. Amer. Math. Soc. 26 (1) (2013), 199–225) to allow Galois representations with some ramification at
PAYMAN L. KASSAEI+2 more
doaj +1 more source
UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES
Let $p$ be a prime number and $F$ a totally real number ...
MATTHEW EMERTON+2 more
doaj +1 more source
Deformations of Theta Integrals and A Conjecture of Gross-Zagier
In this paper, we complete the proof of the conjecture of Gross and Zagier concerning algebraicity of higher Green functions at a single CM point on the product of modular curves. The new ingredient is an analogue of the incoherent Eisenstein series over
Jan H. Bruinier+2 more
doaj +1 more source
We consider integral models of Hilbert modular varieties with Iwahori level structure at primes over p, first proving a Kodaira–Spencer isomorphism that gives a concise description of their dualizing sheaves. We then analyze fibres of the degeneracy maps
Fred Diamond
doaj +1 more source
L-invariants for cohomological representations of PGL(2) over arbitrary number fields
Let $\pi $ be a cuspidal, cohomological automorphic representation of an inner form G of $\operatorname {{PGL}}_2$ over a number field F of arbitrary signature. Further, let $\mathfrak {p}$ be a prime of F such that G is split at
Lennart Gehrmann, Maria Rosaria Pati
doaj +1 more source
Impact of COVID-19 on health services utilization in Province-2 of Nepal: a qualitative study among community members and stakeholders. [PDF]
Singh DR+6 more
europepmc +1 more source
Systematic review of structural and functional neuroimaging studies of cannabis use in adolescence and emerging adulthood: evidence from 90 studies and 9441 participants. [PDF]
Lichenstein SD+10 more
europepmc +1 more source
Estradiol Affects Epstein-Barr Virus Reactivation-Induced Thyrotropin Receptor Antibody and Immunoglobulin Production in Graves' Disease Patients and Healthy Controls. [PDF]
Hara S+6 more
europepmc +1 more source