On Carlitz's type -Euler numbers associated with the fermionic -adic integral on .
On Certain Classes of Sets of Natural Numbers
On certain generalized q-Appell polynomial expansions
We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials as well as to...
On certain ideals of the group ring
On certain solutions of the diophantine equation x-y = p(z)
On Chebyshev's polynomials and certain combinatorial identities.
On completely dense sequences
On consecutive Farey arcs
On consecutive Farey arcs II
On constant-weight TSP-tours
Is it possible to label the edges of Kₙ with distinct integer weights so that every Hamilton cycle has the same total weight? We give a local condition characterizing the labellings that witness this question's perhaps surprising affirmative answer. More generally, we address the question that arises when "Hamilton cycle" is replaced by "k-factor" for nonnegative integers k. Such edge-labellings are in correspondence with certain vertex-labellings, and the link allows us to determine (up to a constant...
On covering systems on rings
On covers of abelian groups by cosets
On cycles in the coprime graph of integers.
On difference sets of sets of integers
On difference sets of sets of positive integers
On Differences and sums of Integers, II
On difference-sequences
On disjoint arithmetic progressions
On divisibility of Narayana numbers by primes.
On divisibility of the class number of real octic fields of a prime conductor by
The aim of this paper is to prove the following Theorem Theorem Let be an octic subfield of the field and let be prime. Then divides if and only if divides for some , , , .