1 citations · 4 across the 22 of their papers we have counts for
31 papers
Cotangent power sums and character coordinates
Kurt Girstmair
We show that certain sums studied in two recent papers are basically character coordinates (as they are called in the literature). These sums involve values of Dirichlet characters…
Hecke's inverse cotangent numbers
Kurt Girstmair
In connection with Eisenstein series for the principal congruence subgroup , Hecke introduced certain numbers, of which he said that they are rational and cumbersome to calcu…
Units from square-roots of rational numbers
Kurt Girstmair
Let be natural numbers, , such that and is not a square. Let be the smallest divisor of such that . We show that the units of th…
On the equivalence of certain quadratic irrationals
Kurt Girstmair
This paper deals with quadratic irrationals of the form for fixed positive integers and , not a square, and varying integers , . Two numbers $m…
On the equality of Dedekind sums
Kurt Girstmair
We show that deciding the equality of two Dedekind sums , is equivalent to deciding whether a Dedekind sum defined by takes a certain value. By means of…
Chebyshev polynomials and Galois groups of De Moivre polynomials
Kurt Girstmair
Let be an odd natural number. In 1738, Abraham de Moivre introduced a family of polynomials of degree with rational coefficients, all of which are solvable. So far, th…