Local interdefinability of Weierstrass elliptic functions
classification
🧮 math.LO
keywords
ellipticfunctionsweierstrasscontextdefinableexplainexploitexponentiation
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We explain which Weierstrass elliptic functions are locally definable from other elliptic functions and exponentiation in the context of o-minimal structures. The proofs make use of the predimension method from model theory to exploit functional transcendence theorems in a systematic way.
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