2 citations · 2 across the 1 of their papers we have counts for
4 papers
Rosenhain-Thomae formulae for higher genera hyperelliptic curves
Keno Eilers
Rosenhain's famous formula expresses the periods of first kind integrals of genus two hyperelliptic curves in terms of -constants. In this paper we generalize the Rosenhain form…
Modular Form Representation for Periods of Hyperelliptic Integrals
Keno Eilers
To every hyperelliptic curve one can assign the periods of the integrals over the holomorphic and the meromorphic differentials. By comparing two representations of the so-called p…
Periods of second kind differentials of (n,s)-curves
J. C. Eilbeck, K. Eilers, V. Z. Enolski
For elliptic curves, expressions for the periods of elliptic integrals of the second kind in terms of theta-constants, have been known since the middle of the 19th century. In this…
Geodesic motion in the space-time of a non-compact boson star
Valeria Diemer, Keno Eilers, Betti Hartmann +2
We study the geodesic motion of test particles in the space-time of non-compact boson stars. These objects are made of a self-interacting scalar field and -- depending on the scala…