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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2504.12724 |
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| _version_ | 1866908901051465728 |
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| author | Brochet, Hadrien Chyzak, Frédéric Lairez, Pierre |
| author_facet | Brochet, Hadrien Chyzak, Frédéric Lairez, Pierre |
| contents | We present a new algorithm for solving the reduction problem in the context of holonomic integrals, which in turn provides an approach to integration with parameters. Our method extends the Griffiths--Dwork reduction technique to holonomic systems and is implemented in Julia. While not yet outperforming creative telescoping in D-finite cases, it enhances computational capabilities within the holonomic framework. As an application, we derive a previously unattainable differential equation for the generating series of 8-regular graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12724 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Faster multivariate integration in D-modules Brochet, Hadrien Chyzak, Frédéric Lairez, Pierre Symbolic Computation We present a new algorithm for solving the reduction problem in the context of holonomic integrals, which in turn provides an approach to integration with parameters. Our method extends the Griffiths--Dwork reduction technique to holonomic systems and is implemented in Julia. While not yet outperforming creative telescoping in D-finite cases, it enhances computational capabilities within the holonomic framework. As an application, we derive a previously unattainable differential equation for the generating series of 8-regular graphs. |
| title | Faster multivariate integration in D-modules |
| topic | Symbolic Computation |
| url | https://arxiv.org/abs/2504.12724 |