Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.05252 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909284295507968 |
|---|---|
| author | Smirnov, Matvey Malkov, Kirill Rogovoy, Sergey |
| author_facet | Smirnov, Matvey Malkov, Kirill Rogovoy, Sergey |
| contents | We establish a version of the Landen's transformation for Weierstrass functions and invariants that is applicable to general lattices in complex plane. Using it we present an effective method for computing Weierstrass functions, their periods, and elliptic integral in Weierstrass form given Weierstrass invariants $g_2$ and $g_3$ of an elliptic curve. Similarly to the classical Landen's method our algorithm has quadratic rate of convergence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05252 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Landen-type method for computation of Weierstrass functions Smirnov, Matvey Malkov, Kirill Rogovoy, Sergey Complex Variables We establish a version of the Landen's transformation for Weierstrass functions and invariants that is applicable to general lattices in complex plane. Using it we present an effective method for computing Weierstrass functions, their periods, and elliptic integral in Weierstrass form given Weierstrass invariants $g_2$ and $g_3$ of an elliptic curve. Similarly to the classical Landen's method our algorithm has quadratic rate of convergence. |
| title | A Landen-type method for computation of Weierstrass functions |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2408.05252 |