Stein And Shakarchi Complex Analysis Manual Solution

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Solutions/hints to the exercises from complex analysis by stein and shakarchi 17 7. Chapter 7: The Zeta Function and Prime Number Theorem Solution 1. To obtain convergence use summation by parts to obtain N u2211 n=1 an ns = AN Ns + N u2211 n=1 An ( n u2212s u2212 (n+ 1) u2212s). SOLUTIONS/HINTS TO THE EXERCISES FROM COMPLEX ANALYSIS BY STEIN AND SHAKARCHI 3 Solution 3.z n = se l 小 implies that z = ( 丢 ), where A: = 0,1,.-,n — 1 and si is the real nth root of the positive number 5.

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