Some explicit constructions of sets with more sums than differences
Some extensions and refinements of a theorem of Sylvester
Some extremal postage stamp bases.
Some families of finite groups and their rings of invariants
Some families of non-congruent numbers
Some finite generalizations of Euler's pentagonal number theorem
Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem.
Some finiteness properties of adele groups over number fields
Some formulas for the Riemann zeta function at odd integer argument resulting from Fourier expansions of the Epstein zeta function
Some formulas related to Gauss's sum
Some formulas that enumerate certain partitions and graphs
Some fourth degree Diophantine equations in Gaussian integers.
Some functions related to the derivatives of the L-series of an elliptic curve at s=1
Some further results concerning (j,ε) -normality in the rationals
Some further results on Legendre numbers.
Some general problems on the number of parts in partitions
Some generalisations of Chebyshev polynomials and their induced group structure over a finite field
Some generalizations in additive number theory.
Some generalizations of Olivier's theorem
Let be a convergent series of positive real numbers. L. Olivier proved that if the sequence is non-increasing, then . In the present paper: (a) We formulate and prove a necessary and sufficient condition for having ; Olivier’s theorem is a consequence of our Theorem . (b) We prove properties analogous to Olivier’s property when the usual convergence is replaced by the -convergence, that is a convergence according to an ideal of subsets of . Again, Olivier’s theorem is a consequence of...
Some generalizations of the Sₙ sequence of Shanks
Some generalized Fibonacci polynomials.