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Somos Sequence Near-Addition Formulas and Modular Theta Functions

Number Theory 2007-05-23 v1

Abstract

We have discovered conjectural near-addition formulas for Somos sequences. We have preliminary evidence suggesting the existence of modular theta functions.

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Cite

@article{arxiv.math/0703470,
  title  = {Somos Sequence Near-Addition Formulas and Modular Theta Functions},
  author = {R. Wm. Gosper and Rich Schroeppel},
  journal= {arXiv preprint arXiv:math/0703470},
  year   = {2007}
}

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31 pages