Results 31 to 40 of about 72,380 (161)
Pacific Journal of Mathematics, 2023 We construct a sequence of geodesics on the modular surface such that the complement of the canonical lifts to the unit tangent bundle are arithmetic 3-manifolds.
Pinsky, Tali +2 more
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On Arithmetic Modular Categories [PDF]
, 2013 Modular categories are important algebraic structures in a variety of subjects in mathematics and physics. We provide an explicit, motivated and elementary definition of a modular category over a field of characteristic 0 as an equivalence class of ...
Davidovich, Orit +2 more
core
, 2013 Let $K$ be an algebraic function field of one variable with constant field $k$ and let $C$ be the Dedekind domain consisting of all those elements of $K$ which are integral outside a fixed place $\infty$ of $K$.
Mason, A. W., Schweizer, Andreas
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Modular forms in the spectral action of Bianchi IX gravitational instantons
Journal of High Energy Physics, 2019 We prove a modularity property for the heat kernel and the Seeley-deWitt coefficients of the heat kernel expansion for the Dirac-Laplacian on the Bianchi IX gravitational instantons.
Wentao Fan +2 more
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Современная наука и инновации, 2022 The paper about a new algorithm for division the numbers represented in the residue number system. This algorithm is based on a new Chinese Reminder Theorem with fractional numbers, which made it possible to significantly accelerate the operations.
Nikolay Ivanovich Chervyakov +3 more
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IEEE Access, 2019 This paper makes two major contributions. First, we propose an algorithm to compute a multiplicative inverse modulo $2^{k}$ without using integer division by refining the Arazi–Qi algorithm.
Young-Sik Kim
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ModuloNET: Neural Networks Meet Modular Arithmetic for Efficient Hardware Masking
Transactions on Cryptographic Hardware and Embedded Systems, 2021 Intellectual Property (IP) thefts of trained machine learning (ML) models through side-channel attacks on inference engines are becoming a major threat. Indeed, several recent works have shown reverse engineering of the model internals using such attacks,
Anuj Dubey +4 more
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A Multifunctional Unit for Designing Efficient RNS-Based Datapaths
IEEE Access, 2017 Inter-modulo operations are the most time consuming and costly operations of the residue number system (RNS), and one of the main obstacles to applying RNS in practice to the design of computing devices, namely for signed integer arithmetic.
Amir Sabbagh Molahosseini +3 more
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Optical modular arithmetic [PDF]
SPIE Proceedings, 2014 Nanoscale integrated photonic devices and circuits offer a path to ultra-low power computation at the few-photon level. Here we propose an optical circuit that performs a ubiquitous operation: the controlled, random-access readout of a collection of stored memory phases or, equivalently, the computation of the inner product of a vector of phases with a
Pavlichin, Dmitri S., Mabuchi, Hideo
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