# Quadratic forms with p-adic coefficient

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• July 15th 2010, 07:29 AM
antonio85
Quadratic forms with p-adic coefficient
How can I found out in which p-adic fields a quadratic form represent 0?

For example in which p-adic fields does the form $3x^{2}+7y^{2}-15z^{2}$ represent zero?