Results 61 to 70 of about 6,424 (109)
Reciprocal relations between cyclotomic fields [PDF]
, 2010 We describe a reciprocity relation between the prime ideal factorization, and related properties, of certain cyclotomic integers of the type ϕn(c−ζm) in the cyclotomic field of the m-th roots of unity and that of the symmetrical elements ϕm(c−ζn) in the ...
Helou, Charles
core +1 more source
Recovering p$p$‐adic valuations from pro‐p$p$ Galois groups
Journal of the London Mathematical Society, Volume 109, Issue 5, May 2024.Abstract Let K$K$ be a field with GK(2)≃GQ2(2)$G_K(2) \simeq G_{\mathbb {Q}_2}(2)$, where GF(2)$G_F(2)$ denotes the maximal pro‐2 quotient of the absolute Galois group of a field F$F$. We prove that then K$K$ admits a (non‐trivial) valuation v$v$ which is 2‐henselian and has residue field F2$\mathbb {F}_2$. Furthermore, v(2)$v(2)$ is a minimal positive
Jochen Koenigsmann, Kristian Strommen
wiley +1 more source
New constructions for disjoint partial difference families and external partial difference families
Journal of Combinatorial Designs, Volume 32, Issue 4, Page 190-213, April 2024.Abstract Recently, new combinatorial structures called disjoint partial difference families (DPDFs) and external partial difference families (EPDFs) were introduced, which simultaneously generalize partial difference sets, disjoint difference families and external difference families, and have applications in information security.
Sophie Huczynska, Laura Johnson
wiley +1 more source
Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms
Fortschritte der Physik, Volume 72, Issue 2, February 2024.Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley +1 more source
On the geometric fixed points of real topological cyclic homology
Journal of the London Mathematical Society, Volume 109, Issue 2, February 2024.Abstract We give a formula for the geometric fixed‐points spectrum of the real topological cyclic homology of a bounded below ring spectrum, as an equaliser of two maps between tensor products of modules over the norm. We then use this formula to carry out computations in the fundamental examples of spherical group rings, perfect Fp$\mathbb {F}_p ...
Emanuele Dotto +2 more
wiley +1 more source
Ordinary cyclotomic function fields [PDF]
, 2013 The purpose of this paper is to study the p-rank of the Jacobian of cyclotomic function fields.
Shiomi, Daisuke
core +1 more source
, 2017 A cyclotomic number is the cardinality of the intersection between a translated cyclotomic coset and another cyclotomic coset. These cyclotomic numbers are deeply connected to character sums in number theory and have applications in information theory ...
King, Jacob
core
Cyclotomic Yokonuma–Hecke algebras are cyclotomic quiver Hecke algebras
, 2017 International audienceWe prove that cyclotomic Yokonuma–Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a similar result of Brundan and Kleshchev on cyclotomic Hecke algebras.
Rostam, Salim, Salim Rostam
core +1 more source
On the cosets of the simplex code [PDF]
, 1985 We prove the uniqueness of the coset of highest weight for the simplex code, and that there is no full-rank coset of weight one less if the dimension is 5 or more.
Helleseth, Tor +3 more
core +1 more source