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The expected number of zeros of a random system of p-adic polynomials
co-area formula Kac-Rice formula localfield Gaussian q-binomial formula
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2009/4/23
We study the simultaneous zeros of a random family of d polynomials in d variables over the p-adic numbers.For a family of natural models, we obtain an explicit constant for the expected number of zer...
The expected number of zeros of a random system of p-adic polynomials
random system p-adic polynomials natural models
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2009/4/3
We study the simultaneous zeros of a random family of d polynomials in d variables over the p-adic numbers.For a family of natural models, we obtain an explicit constant for the expected number of zer...