Results 1 to 10 of about 4,574 (29)
Composite Hurwitz Rings as PF-Rings and PP-Rings
Mathematics, 2020 Let R ⊆ T be an extension of commutative rings with identity and H ( R , T ) (respectively, h ( R , T ) ) the composite Hurwitz series ring (respectively, composite Hurwitz polynomial ring).
Dong Kyu Kim, Jung Wook Lim
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On the Distribution of Atkin and Elkies Primes [PDF]
, 2011 Given an elliptic curve E over a finite field F_q of q elements, we say that an odd prime ell not dividing q is an Elkies prime for E if t_E^2 - 4q is a square modulo ell, where t_E = q+1 - #E(F_q) and #E(F_q) is the number of F_q-rational points on E ...
Shparlinski, Igor E. +1 more
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Chain conditions on composite Hurwitz series rings
Open Mathematics, 2017 In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or ...
Lim Jung Wook, Oh Dong Yeol
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Computation of highly ramified coverings
, 2007 An almost Belyi covering is an algebraic covering of the projective line, such that all ramified points except one simple ramified point lie above a set of 3 points of the projective line.
Alexander, Raimundas Vidūnas, V. Kitaev
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On the Iwasawa invariants for links and Kida's formula
, 2016 Analogues of Iwasawa invariants in the context of 3-dimensional topology have been studied by M.~Morishita and others. In this paper, following the dictionary of arithmetic topology, we formulate an analogue of Kida's formula on $\lambda$-invariants in a
Ueki, Jun
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Class polynomials for nonholomorphic modular functions
, 2015 We give algorithms for computing the singular moduli of suitable nonholomorphic modular functions F(z). By combining the theory of isogeny volcanoes with a beautiful observation of Masser concerning the nonholomorphic Eisenstein series E_2*(z), we obtain
Bruinier, Jan Hendrik +2 more
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Towers of Function Fields over Non-prime Finite Fields [PDF]
, 2013 Over all non-prime finite fields, we construct some recursive towers of function fields with many rational places. Thus we obtain a substantial improvement on all known lower bounds for Ihara's quantity $A(\ell)$, for $\ell = p^n$ with $p$ prime and $n>3$
Bassa, Alp +3 more
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Gauss Composition for P^1, and the universal Jacobian of the Hurwitz space of double covers
, 2016 We investigate the universal Jacobian of degree n line bundles over the Hurwitz stack of double covers of P^1 by a curve of genus g. Our main results are: the construction of a smooth, irreducible, universally closed (but not separated) moduli ...
Altman +45 more
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Coherent multiple-antenna block-fading channels at finite blocklength
, 2018 In this paper we consider a channel model that is often used to describe the mobile wireless scenario: multiple-antenna additive white Gaussian noise channels subject to random (fading) gain with full channel state information at the receiver.
Collins, Austin, Polyanskiy, Yury
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Isogenies of Elliptic Curves: A Computational Approach [PDF]
, 2009 Isogenies, the mappings of elliptic curves, have become a useful tool in cryptology. These mathematical objects have been proposed for use in computing pairings, constructing hash functions and random number generators, and analyzing the reducibility of ...
Shumow, Daniel
core +2 more sources