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A generic effective Oppenheim theorem for systems of forms. (English) Zbl 07257232
Summary: We prove a uniform effective density theorem as well as an effective counting result for a generic system comprising a polynomial with a mild homogeneous condition and several linear forms using Rogers’ second moment formula for the Siegel transform on the space of unimodular lattices.
##### MSC:
 11 Number theory
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##### References:
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