Primedivisors and multiple primefactors of binomial coefficients. An essential ingredient are estimates of exponential sums. In particular we are able to give an asymptotic formula for for a wide range of r . Professor Dr. H. P. Schlickewei Equations over finitely generated multiplicative groups. We derived an upper bound for the numbers of nondegenerate solutions which depends only upon the dimension n and the rank r.
Multiplicity estimates for linear recurrence sequences.
This conjecture was proved. In 1994 H. P. Schlickewei got the Merckle research award for his results on recurrence sequences. Multiplicities of algebraic linear recurrences. Algorithms to construct normal bases of cyclic number fields. On polynomial-exponential equations.