Schanuel's Conjecture is the statement: if x1; : : : ; xn β C are linearly independent over Q, then the transcendence degree of Q(x1; : : : ; xn; exp(x1); : : : ; exp(xn)) over Q is at least n. Here we prove that this is true if instead we take inΓΏnitesimal elements from any ultrapower of C, and in
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On Schanuel's Conjectures
β Scribed by James Ax
- Book ID
- 120984714
- Publisher
- John Hopkins University Press
- Year
- 1971
- Tongue
- English
- Weight
- 1021 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0003-486X
- DOI
- 10.2307/1970774
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