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Auxiliary Polynomials in Number Theory by David Masser

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20

Elliptic functions

We take another break from estimating; however the reader will have to put up with a lot of formulae, and especially the algebraic geometers are warned that some of them are of a rather explicit nature. Many of them can be found in Whittaker and Watson (1965), a classical volume here abbreviated to WW (but their omegas are half ours). We will say something later about Greenhill (1892), but nothing about Eagle (1958) (where one can see !n and learn the real meaning of τ).

In Chapter 10 we saw a Weierstrass sigma function, which now we write as

image

There the product was taken with regard to Z+iZ. But more generally one can fix ...

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