Multiplicative relations among singular moduli
We consider some diophantine problems of mixed modular-multiplicative type. In particular, we prove, for each n greater than or equal to 1, a finiteness result for n-tuples of singular moduli minimally satisfying a non-trivial multiplicative relation.
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Format: | Journal article |
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arXiv
2014
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_version_ | 1826299834644037632 |
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author | Pila, J Tsimerman, J |
author_facet | Pila, J Tsimerman, J |
author_sort | Pila, J |
collection | OXFORD |
description | We consider some diophantine problems of mixed modular-multiplicative type. In particular, we prove, for each n greater than or equal to 1, a finiteness result for n-tuples of singular moduli minimally satisfying a non-trivial multiplicative relation. |
first_indexed | 2024-03-07T05:07:59Z |
format | Journal article |
id | oxford-uuid:da989a72-2b8a-4949-8e8f-f0b5eb567ff3 |
institution | University of Oxford |
last_indexed | 2024-03-07T05:07:59Z |
publishDate | 2014 |
publisher | arXiv |
record_format | dspace |
spelling | oxford-uuid:da989a72-2b8a-4949-8e8f-f0b5eb567ff32022-03-27T09:04:18ZMultiplicative relations among singular moduliJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:da989a72-2b8a-4949-8e8f-f0b5eb567ff3Symplectic Elements at OxfordarXiv2014Pila, JTsimerman, JWe consider some diophantine problems of mixed modular-multiplicative type. In particular, we prove, for each n greater than or equal to 1, a finiteness result for n-tuples of singular moduli minimally satisfying a non-trivial multiplicative relation. |
spellingShingle | Pila, J Tsimerman, J Multiplicative relations among singular moduli |
title | Multiplicative relations among singular moduli |
title_full | Multiplicative relations among singular moduli |
title_fullStr | Multiplicative relations among singular moduli |
title_full_unstemmed | Multiplicative relations among singular moduli |
title_short | Multiplicative relations among singular moduli |
title_sort | multiplicative relations among singular moduli |
work_keys_str_mv | AT pilaj multiplicativerelationsamongsingularmoduli AT tsimermanj multiplicativerelationsamongsingularmoduli |