{"product_id":"exponential-sums-and-differential-equations-nicholas-m-katz-9780691085999","title":"Exponential Sums and Differential Equations","description":"\u003cp\u003eThis book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them. These areas are the theory of linear differential equations in one complex variable with polynomial coefficients, and the theory of one parameter families of exponential sums over finite fields. After reviewing some results from representation theory, the book discusses results about differential equations and their differential galois groups (G) and one-parameter families of exponential sums and their geometric monodromy groups (G). The final part of the book is devoted to comparison theorems relating G and G of suitably \"corresponding\" situations, which provide a systematic explanation of the remarkable \"coincidences\" found \"by hand\" in the hypergeometric case.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Nicholas M. Katz\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691085994\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691085999\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/21\/1990\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 448\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.38lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.06h x 5.94w x 1.11d","brand":"Nicholas M. Katz","offers":[{"title":"Paperback","offer_id":48441201393919,"sku":"9780691085999","price":125.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_36d74b4b-aa02-4b0e-9dc8-a4a51bff3f16.jpg?v=1777189380","url":"https:\/\/www.whiterainbookhouse.com\/products\/exponential-sums-and-differential-equations-nicholas-m-katz-9780691085999","provider":"WR Book House","version":"1.0","type":"link"}