A word u is called 1-balanced if for any two factors v and w of u of equal length, we have âˆ’16|v|i âˆ’ |w|i61 for each letter i, where |v|i denotes the number of occurrences of i in the factor v. Theâ€¦ (More)

Among other things we show that for each n-tuple of positive rational numbers (a1, . . . , an) there are sets of primes S of arbitrarily large cardinality s such that the solutions of the equationâ€¦ (More)

Binary tomography deals with the problem of reconstructing a binary image from its projections. In particular, there is a focus on highly underdetermined reconstruction problems for which manyâ€¦ (More)

Let ~ v0, ..., ~ vk be vectors in Z k which generate Zk. We show that a body V âŠ‚ Zk with the vectors ~ v0, ..., ~ vk as edge vectors is an almost minimal set with the property that every function f :â€¦ (More)