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Certain arithmetic properties of coefficients of Kummer’s function

Abstract

We estimate the common denominators of the first n coefficients of Kummer’s function with parameters belonging to an arbitrary quadratic field.

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Correspondence to A. I. Galochkin.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 11, No. 6, pp. 27–32, 2005.

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Galochkin, A.I. Certain arithmetic properties of coefficients of Kummer’s function. J Math Sci 146, 5644–5648 (2007). https://doi.org/10.1007/s10958-007-0379-8

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Keywords

  • Prime Ideal
  • Hypergeometric Function
  • Common Denominator
  • Principal Ideal
  • Arithmetic Property