Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1090/S0025-5718-03-01609-0 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
Riemann theta function,pointwise approximation,uniform approximation | Geometric function theory,Reflection formula,Riemann surface,Mathematical analysis,Riemann Xi function,Theta function,Riemann–Hurwitz formula,Riemann problem,Mathematics,Riemann sum | Journal |
Volume | Issue | ISSN |
73 | 247 | 0025-5718 |
Citations | PageRank | References |
9 | 1.98 | 0 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bernard Deconinck | 1 | 54 | 14.39 |
| Matthias Heil | 2 | 9 | 1.98 |
| Alexander I. Bobenko | 3 | 182 | 17.20 |
| Mark Van Hoeij | 4 | 393 | 44.57 |
| Markus Schmies | 5 | 107 | 11.54 |