This book is the first of two books by the author on the generalized Riemann hypothesis. The Euler-Maclaurin summation formula, the Borel integral summation method, Cauchy's residue theorem, and bi-lateral integral transform representations of the partial sums of the Riemann zeta function are used to prove that all roots of the Riemann zeta function in the critical strip have real part equal to 1/2.
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