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p-Adic Measures for Reciprocals of L-Functions of Totally Real Number Fields
We construct p-adic measures that interpolate the special values of reciprocals of p-adic L-functions of totally real number fields K at negative...
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Singular vectors on manifolds over totally real number fields
We extend the notion of singular vectors to the context of Diophantine approximation of real numbers with elements of a totally real number field K ....
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Dynamical Mordell–Lang conjecture for totally inseparable liftings of Frobenius
We prove that if K is a complete algebraically closed non-archimedian valuation field of positive characteristic and f is an endomorphism of
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Chernikov 2-Groups with Kleinian Top and Totally Reducible Bottom
We present a classification of Chernikov 2-groups with Kleinian top and totally reducible bottom.
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The modularity of elliptic curves over all but finitely many totally real fields of degree 5
We study the finiteness of low degree points on certain modular curves and their Atkin–Lehner quotients, and, as an application, prove the modularity...
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Abelian surfaces over totally real fields are potentially modular
We show that abelian surfaces (and consequently curves of genus 2) over totally real fields are potentially modular. As a consequence, we obtain the...
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A Uniqueness Theorem for Holomorphic Map**s in the Disk Sharing Totally Geodesic Hypersurfaces
In this paper, we prove a Second Main Theorem for holomorphic map**s in a disk whose image intersects some families of nonlinear hypersurfaces...
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Idempotents in the Endomorphism Algebra of a Finite Lattice
We give a direct construction of a specific central idempotent in the endomorphism algebra of a finite lattice T . This idempotent is associated with...
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Compact complex non-Kähler manifolds associated with totally real reciprocal units
Using the theory of totally real number fields we construct a new class of compact complex non-Kähler manifolds in every even complex dimension and...
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AM-Totally Boundedness on Normed Riesz Spaces
In this paper we introduce and study the class of AM-totally bounded operators. Also we introduce the notion of graph lattice norm to prove a...
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The module theory of semisymmetric quasigroups, totally symmetric quasigroups, and triple systems
This paper initiates a unified module theory for four varieties of quasigroups: semisymmetric, semisymmetric idempotent, totally symmetric, and...
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Categorification of Harder–Narasimhan theory via slope functions valued in totally ordered sets
We introduce a categorical construction of Harder–Narasimhan filtration via a slope method which does not need a degree function. With a theorem of...
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Applications of Finite Non-Abelian Simple Groups to Cryptography in the Quantum Era
The theory of finite simple groups is a (rather unexplored) area likely to provide interesting computational problems and modeling tools useful in a...
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Group Elements Whose Character Values are Roots of Unity
We classify all finite groups G that possess an element x ∈ G such that every irreducible character of G takes a root of unity value at x .
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Automorphism Groups of Simple Abelian Fourfolds over Finite Fields and Jordan Constants
We give a classification of maximal elements of the set of finite groups that can be realized as the full automorphism groups of simple polarized...
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Overconvergent Eichler-Shimura isomorphisms for unitary Shimura curves over totally real fields
We compare two different cohomology groups on unitary Shimura curves over totally real number fields; these groups are used in the construction of p -a...