The rank of universal $m$ -gonal forms

preprint2020arXivOpen access

In this article, we consider the rank of universal $m$ -gonal forms for all sufficiently large $m$ . Especially, we determine the minimal rank of universal $m$ -gonal form and the maximal rank of kinds of proper universal $m$ -gonal form.

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The rank of universal $m$ -gonal forms

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The rank of universal mmm-gonal forms

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The rank of universal $m$ -gonal forms