The Norm Index Theorem (An Analytic Proof)
classification
🧮 math.NT
math.SP
keywords
analyticindexnormprooftheoremclasscyclicextensions
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We give an analytic proof of the norm index theorem $[I_:K^* N(I_L)] =[L:K]$ for cyclic extensions of number fields using spectral theory of the idele class group.
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