File: Calculus Pdf 169004 | Complexvariablecalculus
analytic number theory undergrad courant institute spring 2017 http www math nyu edu faculty goodman teaching numbertheory2017 index html section 5 complex variable calculus march 11 2017 version 2 0 ...
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...Analytic number theory undergrad courant institute spring http www math nyu edu faculty goodman teaching numbertheory index html section complex variable calculus march version introduction we now move from of real functions a to this is analysis will simplify some our technical proofs for example it makes easy see that s f ass where dierentiable function the main point as was before dirichlet series pn converges and goes innite but be easier make justify crucial calculation x n g also near contour integration cauchy theorems powerful not only tool prime theorem statement o thefunction canberepresentedasacontourintegralinthecomplexplane form integral z itlog e dt which soon should seem simpler i ds may euler discovered zeta product connects numbers riemann formula recognized leads proof incomplete mostly because tools modern were unknown him ideas one big motivations mathematicians gure out beautiful discussion work in book by harold edwards formerly professor at derivative written wri...