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Hypergeometric generating functions for values of Dirichlet and other L functions

Jeremy Lovejoy1, Ken Ono

  • 1Centre National de la Recherche Scientifique, Laboratoire Bordelais de Recherche en Informatique, 351 Cours de la Liberation, 33405 Talence Cedex, France.

Proceedings of the National Academy of Sciences of the United States of America
|May 21, 2003
PubMed
Summary

This study reveals surprising connections between L functions and knot invariants. It uses G. E. Andrews' work to show generating functions for L functions arise from basic hypergeometric functions.

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