Eterovic, S orcid.org/0000-0001-6724-5887 and Herrero, S (2021) Solutions of equations involving the modular J function. Transactions of the American Mathematical Society, 374 (6). pp. 3971-3998. ISSN 0002-9947
Abstract
Inspired by work done for systems of polynomial exponential equations, we study systems of equations involving the modular j function. We show general cases in which these systems have solutions, and then we look at certain situations in which the modular Schanuel conjecture implies that these systems have generic solutions. An unconditional result in this direction is proven for certain polynomial equations on j with algebraic coefficients.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Copyright 2021 American Mathematical Society. This is an author produced version of an article, published in Transactions of the American Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 03 Nov 2022 15:25 |
Last Modified: | 03 Nov 2022 15:25 |
Status: | Published |
Publisher: | American Mathematical Society |
Identification Number: | 10.1090/tran/8244 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:192773 |