Week 11 lectures, Math 804 1. More on Weirstrass Elliptic Function ...

• cours magistral
• expression écrite

Week 11 lectures, Math 804 1. More on Weirstrass Elliptic Function P(z): Integral formula Lemma 1.1. Introduce (1.1) z = h(ζ) = ∫ ∞ ζ (4t3 − g2 t − g3)−1/2 dt where the path of integration may be any curve which does not pass through a zero of 4t3 − g2 t − g3, then h(P(z)) = z.

• linear equations for determin- ing
• concide with the zeros of the numerator
• irreducible zeros
• elliptic functions
• coincide with the zeros of the denominator
• sum of zero locations
• proof
• points