Results 1 to 10 of about 3,137,062 (349)
A Supplement to Scholz's Reciprocity Law [PDF]
Acta Arith. 129 (2007), 319-324, 2013 In this note we will present a supplement to Scholz's reciprocity law and discuss applications to the structure of 2-class groups of quadratic number fields.
Lemmermeyer, Franz
arxiv +8 more sources
Harbingers of Artin's Reciprocity Law. IV. Bernstein's Reciprocity Law [PDF]
arXiv, 2012 In the last article of this series we will first explain how Artin's reciprocity law for unramified abelian extensions can be formulated with the help of power residue symbols, and then show that, in this case, Artin's reciprocity law was already stated by Bernstein in the case where the base field contains the roots of unity necessary for realizing ...
Lemmermeyer, Franz
arxiv +5 more sources
A General Reciprocity Law for Symbols on Arbitrary Vector Spaces [PDF]
Journal of Algebra and its Applications (2018), 2013 The aim of this work is to offer a general theory of reciprocity laws for symbols on arbitrary vector spaces, and to show that classical explicit reciprocity laws are particular cases of this theory (sum of valuations on a complete curve, Residue Theorem, Weil Reciprocity Law and the Reciprocity Law for the Hilbert Norm Residue Symbol).
Fernando Pablos Romo
arxiv +4 more sources
The strong Suslin reciprocity law [PDF]
Compositio Mathematica, 2021 We prove the strong Suslin reciprocity law conjectured by A. Goncharov. The Suslin reciprocity law is a generalization of the Weil reciprocity law to higher Milnor$K$-theory. The Milnor$K$-groups can be identified with the top cohomology groups of the polylogarithmic motivic complexes; Goncharov's conjecture predicts the existence of a contracting ...
D. Rudenko
openaire +5 more sources
Non-reciprocity across scales in active mixtures [PDF]
Nature Communications, 2023 In active matter, particles typically experience mediated interactions, which are not constrained by Newton’s third law and are therefore generically non-reciprocal.
Alberto Dinelli +5 more
doaj +2 more sources
On Yamamoto’s reciprocity law [PDF]
Proceedings of the American Mathematical Society, 1991 A simple proof of Yamamoto's reciprocity law is given. Let p and q be distinct odd primes with p _ q _ 1 (mod 4). Define the symbol [p, q] =i by (q-1)/4 (pq)12 (mod q), where h(pq) is the classnumber of the real quadratic field Q(V/R) and e(pq) = 2 (t + u,/jj) > 1 is its fundamental unit (t, u positive integers).
Kenneth S. Williams
openalex +3 more sources
Scholz's reciprocity law in number fields [PDF]
arXiv, 2021 In this article we prove a reciprocity law in number fields with odd class number that specializes to Scholz's reciprocity law over the rationals.
Franz Lemmermeyer
arxiv +3 more sources
A rational octic reciprocity law [PDF]
Pacific Journal of Mathematics, 1976 THEOREM (Burde).
Kenneth Williams
openalex +4 more sources
Harbingers of Artin's Reciprocity Law. III. Gauss's Lemma and Artin's Transfer [PDF]
arXiv, 2012 We briefly review Artin's reciprocity law in the classical ideal theoretic language, and then study connections between Artin's reciprocity law and the proofs of the quadratic reciprocity law using Gauss's Lemma.
Lemmermeyer, Franz
arxiv +3 more sources
Resin viscosity determines the condition for a valid exposure reciprocity law in dental composites. [PDF]
Dent Mater, 2020 Palagummi SV +4 more
europepmc +2 more sources