Mittelwerte zahlentheoretischer Funktionen und lineare Kongruenzsysteme.
Mod structure of alternating and non-alternating multiple harmonic sums
The well-known Wolstenholme’s Theorem says that for every prime the -st partial sum of the harmonic series is congruent to modulo . If one replaces the harmonic series by for even, then the modulus has to be changed from to just . One may consider generalizations of this to multiple harmonic sums (MHS) and alternating multiple harmonic sums (AMHS) which are partial sums of multiple zeta value series and the alternating Euler sums, respectively. A lot of results along this direction...
Mod p³ analogues of theorems of Gauss and Jacobi on binomial coefficients
Monomial Congruences.
Multidimensional covering systems of congruences
Multiplicative polynomials and Fermat's little theorem for non-primes.