{"product_id":"many-variations-of-mahler-measures-a-lasting-symphony-9781108794459","title":"Many Variations of Mahler Measures: A Lasting Symphony","description":"The Mahler measure is a fascinating notion and an exciting topic in contemporary mathematics, interconnecting with subjects as diverse as number theory, analysis, arithmetic geometry, special functions and random walks. This friendly and concise introduction to the Mahler measure is a valuable resource for both graduate courses and self-study. It provides the reader with the necessary background material, before presenting the recent achievements and the remaining challenges in the field. The first part introduces the univariate Mahler measure and addresses Lehmer's question, and then discusses techniques of reducing multivariate measures to hypergeometric functions. The second part touches on the novelties of the subject, especially the relation with elliptic curves, modular forms and special values of L-functions. Finally, the Appendix presents the modern definition of motivic cohomology and regulator maps, as well as Deligne-Beilinson cohomology. The text includes many exercises to test comprehension and challenge readers of all abilities.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-13376025\"\u003eFrançois Brunault\u003c\/a\u003e, \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=AUTH-13130177\"\u003eWadim Zudilin\u003c\/a\u003e\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/18\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 180\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.60lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.86h x 6.11w x 0.42d\u003cbr\u003e\u003cb\u003eISBN13:\u003c\/b\u003e 9781108794459\u003cbr\u003e\u003cb\u003eISBN10:\u003c\/b\u003e 1108794459\u003cbr\u003e\u003cb\u003eBISAC Categories:\u003c\/b\u003e\u003cbr\u003e- \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=CAT-MAT\"\u003eMathematics\u003c\/a\u003e | \u003ca href=\"https:\/\/sureshotbooks-com.myshopify.com\/search?type=product%2Carticle%2Cpage\u0026amp;q=BISAC-MAT022000\"\u003eNumber Theory\u003c\/a\u003e\u003cbr\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":42643578683629,"sku":"9781108794459","price":75.08,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0550\/8097\/6621\/products\/img_d74b23a8-99df-488e-9490-44ab7fc81b2a.jpg?v=1649120790","url":"https:\/\/sureshotbooks.com\/products\/many-variations-of-mahler-measures-a-lasting-symphony-9781108794459","provider":"SureShot Books Publishing LLC","version":"1.0","type":"link"}