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Excerpt from Thesis Riemann's P-Function: Dissertation Presented for the Degree of Doctor of Philosophy in the Johns Hopkins University Section 4 of Part I is an instance of this kind; the work therein and the table of equivalent functions are my own. The same may be said of Section 5, where, by using an expansion in powers of the variable which is known to be convergent in the proper regions, the ideas are fixed and a certain ease of state ment is attained. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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