p-Adic Hypergeometrics

  • Fernando Rodriguez VillegasEmail author
Part of the MATRIX Book Series book series (MXBS, volume 2)


We study classical hypergeometric series as a p-adic function of its parameters inspired by a problem in the Monthly solved by D. Zagier.


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    Coleman, R.: Dilogarithms, regulators and p-adic L-functions. Invent. Math. 69, 171–208 (1982)MathSciNetCrossRefGoogle Scholar
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    Rodriguez Villegas, F.: Experimental Number Theory. Oxford Graduate Texts in Mathematics, vol. 13, xvi+214 pp. Oxford University Press, Oxford (2007). ISBN: 978-0-19-922730-3Google Scholar
  3. 3.
    Zagier, D., Shallit, J., Strauss, N.: Problems and Solutions: 6625. Am. Math. Mon. 99(1), 66–69 (1992)MathSciNetCrossRefGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Abdus Salam International Centre for Theoretical PhysicsTriesteItaly

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