Results 51 to 60 of about 7,081,606 (216)
Syntomic cohomology and real topological cyclic homology
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
wiley +1 more source
A Construction of Rotated Lattices via Totally Real Subfields of the Cyclotomic Field Q(z_p)
Trends in Computational and Applied Mathematics, 2019 The theory of lattices have shown to be useful in information theory and rotated lattices with high modulations diversity have been extensively studied as an alternative approach for transmission over a Rayleigh-fading channel, where the performance of ...
Antonio A. Andrade +2 more
doaj +1 more source
On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
wiley +1 more source
Factor-4 and 6 compression of cyclotomic subgroups of and
Journal of Mathematical Cryptology, 2010 Bilinear pairings derived from supersingular elliptic curves of embedding degrees 4 and 6 over finite fields 𝔽2m and 𝔽3m, respectively, have been used to implement pairing-based cryptographic protocols.
Karabina Koray
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The asymptotic Mahler measure of Gaussian periods
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen +2 more
wiley +1 more source
Semi-local Units Modulo Cyclotomic Units [PDF]
, 1999 Fix an odd prime number p and an abelian field K. Let U (resp. C) be the projective limit of the semi-local units at p (resp. of the cyclotomic units) of each intermediate field of the cyclotomic Zp-extension K∞/K. We study the Galois module structure of
Tsuji, Takae
core +1 more source
Explicit Reciprocity Laws In Algebraic Function Fields (cyclotomic, Kummer).
, 1987 Let IF(,q) denote the finite field with q elements where q = p('r) is a power of an odd prime p, IF(,q) x the polynomial ring in one indeter- minate x with coefficients in IF(,q), and IF(,q)(x) the field of rational functions in one indeterminate x with
Schultheis, Fred Bentley
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Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
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On Cyclotomic Polynomial Coefficients
, 2020 For a positive integer n > 1 the n-th cyclotomic polynomial is defined by (Formula presented) where ς are the primitive n-th roots of unity. These polynomials are known to possess many interesting properties.
Andrica, D., Bagdasar, O.
core
On the Cyclotomic Unit Group and the Ideal Class Group of a Real Abelian Number Field [PDF]
, 1997 LetKbe a real abelian number field satisfying certain conditions andKnthenth layer of the cyclotomic Zp-extension ofK. We study the relations between thep-Sylow subgroup of the ideal class group and that of the unit group modulo the cyclotomic unit group
Ozaki, Manabu
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