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Pfaffian definitions of Weierstrass elliptic functions
We give explicit definitions of the Weierstrass elliptic functions and
in terms of pfaffian functions, with complexity independent of the
lattice involved. We also give such a definition for a modification of the
Weierstrass function . As immediate applications, we give an explicit
uniform zero estimate for and answer a question of Corvaja, Masser and
Zannier on additive extensions of elliptic curves.Comment: 38 pages. Fixed a typo, and slightly expanded the introduction.
Comments welcome