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In-depth biography of James Gilcrest Swan, the first to teach, and live among, the Makah Indians of Neah Bay, record their culture, and collect their artifacts for the Smithsonian Institution. Based largely on his previously unpublished diaries. -- Amazon.
Convolution and Equidistribution explores an important aspect of number theory--the theory of exponential sums over finite fields and their Mellin transforms--from a new, categorical point of view. The book presents fundamentally important results and a plethora of examples, opening up new directions in the subject. The finite-field Mellin transform (of a function on the multiplicative group of a finite field) is defined by summing that function against variable multiplicative characters. The basic question considered in the book is how the values of the Mellin transform are distributed (in a probabilistic sense), in cases where the input function is suitably algebro-geometric. This question is answered by the book's main theorem, using a mixture of geometric, categorical, and group-theoretic methods. By providing a new framework for studying Mellin transforms over finite fields, this book opens up a new way for researchers to further explore the subject.
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"The intention of this volume is to give a general and concise account of that portion of the Northwest Coast lying between the Straits of Fuca and the Columbia River."--P. [v].