Greatest common divisors near s-units, applications, and conjectures on arithmetic abelian surfaces / Zheng Xiao.
We bound the greatest common divisor of two coprime multivariable polynomials evaluated at algebraic numbers, generalizing the work of Levin by thickening the finitely generated group to allow non-finitely generated elements. Going towards conjectured inequalities of Silverman and Vojta, an immediat...
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| Language: | English |
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2022.
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| Dissertation Note: |
Ph. D. Michigan State University. Mathematics 2022 |
| Physical Description: | 1 online resource (iv, 68 pages) |
| Format: | Thesis Electronic eBook |