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math.CO2024
Special values of Grothendieck polynomials in terms of hypergeometric functions
Taikei Fujii, Takahiko Nobukawa, Tatsushi Shimazaki
We give some special values of Grothendieck polynomials and an explicit formula for the number of set-valued tableaux. For Young diagrams consisting of a single row or a single col…
math.CO2023
A recursive method for the oddness of the number of set-valued tableaux
Taikei Fujii, Takahiko Nobukawa, Tatsushi Shimazaki
Set-valued tableaux, introduced by Buch to express the tableaux-sum formula for stable Grothendieck polynomials, generalize semistandard tableaux. We provide a new recursive proof…