{"product_id":"zeta-and-eta-functions-ashwani-kumar-thukral-9781518608636","title":"Zeta and eta functions: A new hypothesis","description":"Euler-Riemann's zeta and Dirichlet's eta functions are defined for real negative numbers as analytic continuation. In the present book the author defines new series for zeta and eta functions, for real negative and imaginary numbers without analytic continuation. The new zeta and eta functions maintain the character of harmonic series and alternating harmonic series respectively for real negative numbers, as for real positive numbers. Zeta and eta functions have also been defined for multiple- and fractional harmonic series.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ashwani Kumar Thukral\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1518608639\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781518608636\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Createspace Independent Publishing Platform\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/17\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 58\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.23lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.50h x 5.50w x 0.15d","brand":"Ashwani Kumar Thukral","offers":[{"title":"Paperback","offer_id":48136741585151,"sku":"9781518608636","price":25.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_d82869f5-c0a0-4f66-90d4-99597aa87a84.jpg?v=1770164501","url":"https:\/\/www.whiterainbookhouse.com\/products\/zeta-and-eta-functions-ashwani-kumar-thukral-9781518608636","provider":"WR Book House","version":"1.0","type":"link"}