منابع مشابه
Quadratic Reciprocity I
We now come to the most important result in our course: the law of quadratic reciprocity, or, as Gauss called it, the aureum theorema (“golden theorem”). Many beginning students of number theory have a hard time appreciating this golden theorem. I find this quite understandable, as many first courses do not properly prepare for the result by discussing enough of the earlier work which makes qua...
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People exhibit group reciprocity when they retaliate, not against the person who harmed them, but against somebody else in that person's group. Group reciprocity may be a key motivation behind intergroup conflict. We investigated group reciprocity in a laboratory experiment. After a group identity manipulation, subjects played a Prisoner's Dilemma with others from different groups. Subjects the...
متن کامل18.785F17 Number Theory I Lecture 24 Notes: Artin Reciprocity
Let L/K be an abelian extension of number fields. In Lecture 22 we defined the norm group T m := NL/K (IL m)Rm (see Definition 22.26) that we claim is equal to the kernel of the Artin L/K K map ψm : Im → Gal(L/K), provided that the modulus m is divisible by the conductor L/K K of L (see Definition 22.23). We showed that T m contains ker ψm (Proposition 22.27), L/K L/K and in Theorem 22.28 we pr...
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Emil Artin was born on March 3, 1898 in Vienna, as the son of an art dealer and an opera singer, and he died on December 20, 1962 in Hamburg. He was one of the founding fathers of modern algebra. Van der Waerden acknowledged his debt to Artin and to Emmy Noether (1882–1935) on the title page of his Moderne Algebra (1930–31), which indeed was originally conceived to be jointly written with Artin...
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A photometric monitoring campaign of brown dwarfs in the Cha I star forming region in the i and R band revealed significant periodic variations of the three M6.5–M7 type brown dwarf candidates Cha Hα 2, 3 and 6 (Joergens et al. 2002). These are the first rotational periods for very young (1–5 Myr) brown dwarfs and among the first rotational periods for brown dwarfs at all. The relatively long p...
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2019
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnz100