LAUSR

Automorphic forms and fermion masses

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1 Published in 2020 at "Journal of High Energy Physics"

DOI: 10.1007/jhep01(2021)037

Abstract: We extend the framework of modular invariant supersymmetric theories to encompass invariance under more general discrete groups Γ, that allow the presence of several moduli and make connection with the theory of automorphic forms. Moduli… read more here.

Keywords: forms fermion; fermion masses; automorphic forms;

On vector-valued automorphic forms on bounded symmetric domains

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0 Published in 2018 at "Annals of Global Analysis and Geometry"

DOI: 10.1007/s10455-018-9632-2

Abstract: We prove a spanning result for vector-valued Poincaré series on a bounded symmetric domain. We associate a sequence of holomorphic automorphic forms to a submanifold of the domain. When the domain is the unit ball… read more here.

Keywords: valued automorphic; forms bounded; automorphic forms; vector valued ... See more keywords

Absolute zeta functions and absolute automorphic forms

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0 Published in 2018 at "Journal of Geometry and Physics"

DOI: 10.1016/j.geomphys.2018.01.014

Abstract: Abstract We construct absolute zeta functions from absolute automorphic forms via the zeta regularization. We study analytic properties of absolute zeta functions. Especially we look at regularized Euler constants. We show a generalization of Euler’s… read more here.

Keywords: zeta functions; functions absolute; euler; absolute automorphic ... See more keywords

Application of automorphic forms to lattice problems

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0 Published in 2022 at "Journal of Mathematical Cryptology"

DOI: 10.1515/jmc-2021-0045

Abstract: Abstract 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. An essential question… read more here.

Keywords: forms lattice; lattice problems; number; hecke ... See more keywords