Results 21 to 30 of about 72,380 (161)
A generating function of the squares of Legendre polynomials
, 2012 We relate a one-parametric generating function for the squares of Legendre polynomials to an arithmetic hypergeometric series whose parametrisation by a level 7 modular function was recently given by Shaun Cooper. By using this modular parametrisation we
Zudilin, Wadim
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Modular embeddings of Teichmueller curves
, 2016 Fuchsian groups with a modular embedding have the richest arithmetic properties among non-arithmetic Fuchsian groups. But they are very rare, all known examples being related either to triangle groups or to Teichmueller curves.
Moeller, Martin, Zagier, Don
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On isomorphisms between Siegel modular threefolds
, 2015 The Satake compactification of the moduli space of principally polarized abelian surfaces with a level two structure has a degree 8 endomorphism. The aim of this paper is to show that this result can be extended to other modular threefolds.
Perna, Sara
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Forum of Mathematics, SigmaWe construct explicit generating series of arithmetic extensions of Kudla’s special divisors on integral models of unitary Shimura varieties over CM fields with arbitrary split levels and prove that they are modular forms valued in the arithmetic Chow ...
Congling Qiu, Yujie Xu
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Local diophantine properties of modular curves of $\cal{D}$-elliptic sheaves [PDF]
, 2010 We study the existence of rational points on modular curves of $\cal{D}$-elliptic sheaves over local fields and the structure of special fibres of these curves.
Papikian, Mihran
core
The kernel of the modular representation and the Galois action in RCFT
, 2001 It is shown that for the modular representations associated to Rational Conformal Field Theories, the kernel is a congruence subgroup whose level equals the order of the Dehn-twist. An explicit algebraic characterization of the kernel is given.
Bantay, P.
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IEEE AccessModular arithmetic calculations, such as modular addition and multiplication, are fundamental building blocks to Post-Quantum Cryptography (PQC) and Homomorphic Encryption (HE) systems. While modular addition has straightforward hardware implementations,
Ardianto Satriawan +2 more
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Sensors, 2022 Multi-access edge computing implementations are ever increasing in both the number of deployments and the areas of application. In this context, the easiness in the operations of packet forwarding between two end devices being part of a particular edge ...
Pedro Juan Roig +4 more
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Analysis of Modular Arithmetic [PDF]
ACM Transactions on Programming Languages and Systems, 2005 We consider integer arithmetic modulo a power of 2 as provided by mainstream programming languages like Java or standard implementations of C. The difficulty here is that, for w > 1, the ring Z m of integers modulo m = 2
Markus Müller-Olm, Helmut Seidl
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On classification of modular categories by rank
, 2016 The feasibility of a classification-by-rank program for modular categories follows from the Rank-Finiteness Theorem. We develop arithmetic, representation theoretic and algebraic methods for classifying modular categories by rank.
Burns +7 more
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