Number fields without n-ary universal quadratic forms

Valentin Blomer; V\'it\v{e}zslav Kala

arxiv: 1503.05736 · v2 · pith:K42X3IMCnew · submitted 2015-03-19 · 🧮 math.NT

Number fields without n-ary universal quadratic forms

Valentin Blomer , V\'it\v{e}zslav Kala This is my paper

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keywords quadraticfieldsformsuniversaladmitgiveninfinitelyinteger

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Given any positive integer M, we show that there are infinitely many real quadratic fields that do not admit universal quadratic forms in M variables.

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Number fields without n-ary universal quadratic forms

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