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Decomposition Of Pascal’S Kernels Mod PS, Richard P. Kubelka

Faculty Publications

For a prime p we define Pascal's Kernel K(p,s) = [k(p,s)_ij]^∞_i,j=0 as the infinite matrix satisfying k(p,s)_ij = 1/p^x(^i+j_j) mod p if (^i+j_j) is divisible by p^s and k(p,s)_ij = 0 otherwise. While the individual entries of Pascal's Kernel can be computed using a formula of Kazandzidis that has been known for some time, our purpose here will be to use that formula …