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math.NT2022
On two new kinds of restricted sumsets
Han Wang, Zhi-Wei Sun
Let be finite subsets of an additive abelian group with . Concerning the two new kinds of restricted sumsets $$L(A_1,\ldots,A_n)=\{a_1+…
math.NT2022
Evaluations of some Toeplitz-type determinants
Han Wang, Zhi-Wei Sun
In this paper we evaluate some Toeplitz-type determinants. Let be an integer. We prove the following two basic identities: \begin{align*} \det{[j-k+δ_{jk}]_{1\leq j,k\leq n}}…