WebOn the Hilbert symbol in cyclotomic fields C. Hélou Published 2002 Mathematics Acta Arithmetica View via Publisher impan.pl Save to Library Create Alert Cite One Citation Citation Type More Filters Norm Residue Symbol and the First Case of Fermat's Equation B. Anglès Mathematics 2001 1 PDF References SHOWING 1-6 OF 6 REFERENCES WebPart I. Section 8. Explicit formulas for the Hilbert symbol 85 tions on KAbrashkin’s formula was established by Benois (2000), see subsection 6.6 of Part II. Sen’sformulas were generalizedto all p-divisible groups by D. Benois (1997) using an interpretation of the Hilbert pairing in terms of an explicit construction of p-adic periods.
Hilbert symbol - HandWiki
WebCZOGALA A.-SLADEK A., Higher degree Hilbert-symbol equivalence of number fields, Tatra Mt. Math. Publ. 11 (1997), 77-88. (1997) Zbl0978.11058 MR1475507 CZOGALA A.-SLADEK A., Higher degree Hilbert symbol equivalence of number fields II, J. Number Theory 72 (1998), 363-376. WebHilbert modular forms and varieties Applications of Hilbert modular forms The Serre conjecture for Hilbert modular forms The next three lectures: goal cytochrome testing
18.786 Number Theory II Lecture 2: Hilbert Symbols
WebExplicit formulas for the Hilbert symbol 83. To some extent the following formula can be viewed as a formula of Artin–Hasse’s type. Sen deduced it using his theory of continuous Galois representations which itself is a generalization of a part of Tate’s theory of p-divisible groups. The Hilbert symbol is interpreted as the cup product of H1. Web1. The Hilbert symbol Let Ebe a local eld of characteristic 6= 2. For a;b2E , the Hilbert symbol is de ned as (a;b) E= (1 if z2 = ax2 + by2 admits a nontrivial solution 1 otherwise: … WebDefine the Hilbert symbol by K F(M K)!ker[pn]; ( ; ) pn = Ψ K( )(γ) − Fγ; [pn](γ)= ; where Ψ K:K !Gal(Kab=K) is the reciprocity map. For formal Lubin–Tate groups, complete formulas of … cytochromkomplex photosynthese