4 citations · 7 across the 4 of their papers we have counts for
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math.CO2019★ 4 cited
Avoiding a shape, and the slice rank method for a system of equations
Masato Mimura, Norihide Tokushige
Fix a vector space over a finite field and a system of linear equations. We provide estimates, in terms of the dimension of the vector space, of the maximum of the sizes of subsets…
math.CO2019★ 1 cited
Avoiding a star of three-term arthmetic progressions
Masato Mimura, Norihide Tokushige
We provide an upper bound of the size of a subset A of F_p^n that does not admit a k-star of 3-APs (three-term arithmetic progressions). Namely, the subset A is assumed to contain…