主講者: | Professor Chung Chun Yang ( Hong Kond Univ. of Science and Technology ) |
講題: | On differential and difference independence of the Gamma function or Riemann zeta function |
時間: | 2014-01-23 (Thu.) 10:30 - 11:30 |
地點: | 數學所 617 研討室 (台大院區) |
Abstract: | In the talk, I shall illustrate how one can just apply Mohonko lemma ( in Nevanlinna theory ) to give a quite straight forward proof that the Gamma function will not satisfy any differential equation of the form : the equation P(z, f ) = 0 , Where P (z, f ) denotes a differential or difference polynomial in f , with polynomials as the coefficients ) , with P(z,0) is a nonzero polynomial. And some generalizions and extentions of such kind of results or problems will be brought out for further studies. |
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