Computing Riemann Theta Functions
| dc.creator | Deconinck, Bernard | |
| dc.creator | Heil, Matthias | |
| dc.creator | Bobenko, Alexander | |
| dc.creator | van Hoeij, Mark | |
| dc.creator | Schmies, Markus | |
| dc.date | 2002-06-10 | |
| dc.date | 2002-07-03 | |
| dc.date.accessioned | 2026-07-07T05:34:09Z | |
| dc.date.available | 2026-07-07T05:34:09Z | |
| dc.description | The Riemann theta function is a complex-valued function of g complex variables. It appears in the construction of many (quasi-) periodic solutions of various equations of mathematical physics. In this paper, algorithms for its computation are given. First, a formula is derived allowing the pointwise approximation of Riemann theta functions, with arbitrary, user-specified precision. This formula is used to construct a uniform approximation formula, again with arbitrary precision. | |
| dc.description | 28 pages, 22 figures. Version with high resolution figures available from http://www.math.colostate.edu/~deconinc/papers.html. Some typos corrected in web addresses | |
| dc.identifier | https://arxiv.org/abs/nlin/0206009 | |
| dc.identifier | http://arxiv.org/abs/nlin/0206009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80259 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Classical Analysis and ODEs | |
| dc.title | Computing Riemann Theta Functions | |
| dc.type | text |