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Pairs of diagonal quartic forms: the asymptotic formulae

Number Theory 2022-11-21 v1

Abstract

We establish an asymptotic formula for the number of integral solutions of bounded height for pairs of diagonal quartic equations in 2626 or more variables. In certain cases, pairs in 2525 variables can be handled.

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Cite

@article{arxiv.2211.10397,
  title  = {Pairs of diagonal quartic forms: the asymptotic formulae},
  author = {Joerg Bruedern and Trevor D. Wooley},
  journal= {arXiv preprint arXiv:2211.10397},
  year   = {2022}
}

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37 pages