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Currently displaying 1 – 3 of 3

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Local-global principle for quadratic forms over fraction fields of two-dimensional henselian domains

Yong HU — 2012

Annales de l’institut Fourier

Let $R$ be a 2-dimensional normal excellent henselian local domain in which $2$ is invertible and let $L$ and $k$ be its fraction field and residue field respectively. Let $Ω_{R}$ be the set of rank 1 discrete valuations of $L$ corresponding to codimension 1 points of regular proper models of $Spec R$ . We prove that a quadratic form $q$ over $L$ satisfies the local-global principle with respect to $Ω_{R}$ in the following two cases: (1) $q$ has rank 3 or 4; (2) $q$ has rank $\geq 5$ and $R = A [[y]]$ , where $A$ is a complete discrete valuation ring with...

Divisors of the Euler and Carmichael functions

Kevin Ford; Yong Hu — 2008

Acta Arithmetica

Artin L-functions and modular forms associated to quasi-cyclotomic fields

Sunghan Bae; Yong Hu; Linsheng Yin — 2010

Acta Arithmetica

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