Euler noted the relation 63= 33+43+53 and asked for other instances of cubes that are sums of consecutive cubes. Similar problems have been studied by Cunningham, Catalan, Gennochi, Lucas, Pagliani,â€¦ (More)

The Carlitz rank of a permutation polynomial f over a finite field Fq is a simple concept that was introduced in the last decade. Classifying permutations over Fq

1 Background The problem of cubes that are sums of consecutive cubes goes back to Euler ([10] art. 249) who noted the remarkable relation 33 + 43 + 53 = 63. Similar problems were considered byâ€¦ (More)

The well-known Chowla and Zassenhaus conjecture, proven by Cohen in 1990, states that if p > (d2 âˆ’ 3d+ 4)2, then there is no complete mapping polynomial f in Fp[x] of degree d â‰¥ 2. For arbitraryâ€¦ (More)