Results 1 to 10 of about 13 (13)

Application of automorphic forms to lattice problems

Journal of Mathematical Cryptology, 2022
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

Forum of Mathematics, Sigma, 2018
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, DAVID LOEFFLER, SARAH LIVIA ZERBES   +2 more
doaj   +1 more source

Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case

Forum of Mathematics, Sigma, 2014
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, SHU SASAKI, YICHAO TIAN   +2 more
doaj   +1 more source

UNRAMIFIEDNESS OF GALOIS REPRESENTATIONS ARISING FROM HILBERT MODULAR SURFACES

Forum of Mathematics, Sigma, 2017
Let $p$ be a prime number and $F$ a totally real number ...
MATTHEW EMERTON, DAVIDE REDUZZI, LIANG XIAO   +2 more
doaj   +1 more source

Deformations of Theta Integrals and A Conjecture of Gross-Zagier

Forum of Mathematics, Sigma
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, Yingkun Li, Tonghai Yang   +2 more
doaj   +1 more source

Kodaira–Spencer isomorphisms and degeneracy maps on Iwahori-level Hilbert modular varieties: the saving trace

Forum of Mathematics, Sigma
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

Forum of Mathematics, Sigma
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]

BMC Health Serv Res, 2021
Singh DR, Sunuwar DR, Shah SK, Karki K, Sah LK, Adhikari B, Sah RK.   +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]

Neuropsychopharmacology, 2022
Lichenstein SD, Manco N, Cope LM, Egbo L, Garrison KA, Hardee J, Hillmer AT, Reeder K, Stern EF, Worhunsky P, Yip SW.   +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]

Viral Immunol, 2018
Hara S, Nagata K, Kumata K, Matsushita M, Kuwamoto S, Kato M, Hayashi K.   +6 more
europepmc   +1 more source