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On algebraic values of Weierstrass $\sigma$-functions

On algebraic values of Weierstrass $\sigma$-functions

Suppose that \Omega is a lattice in the complex plane and let \sigma be the corresponding Weierstrass \sigma -function. Assume that the point \tau associated with \Omega in the standard fundamental domain has imaginary part at most 1.9. Assuming that \Omega has algebraic invariants g_2,g_3 we show that a bound …