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Complex Analysis Lecture Notes - Mathematics Home

Complex Analysis Lecture Notes - Mathematics Home

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2 1 INTRODUCTION: WHY STUDY COMPLEX ANALYSIS? •Proving many other asymptotic formulas in number theory and combi-natorics, e.g. (to name one other of my favorite examples), the Hardy-Ramanujan formula p(n) ˘ 1 4 p 3n eˇ p 2n=3; where p(n) is the number ofinteger partitionsof n. •Evaluation of complicated definite integrals, for example Z ...

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