Integral Ratios of Factorials and Algebraic Hypergeometric Functions
نویسنده
چکیده
This is not immediately obvious (for example, this ratio of factorials is not a product of multinomial coefficients) but it is not hard to prove. The only proof I know proceeds by checking that the valuations vp(un) are non-negative for every prime p; an interpretation of un as counting natural objects or being dimensions of natural vector spaces is far from clear. As it turns out, the generating function u := ∑
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