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OverviewThe Waring-Goldbach problem seeks to represent positive integers satisfying necessary congruence conditions by powers of primes. The circle method of Hardy and Littlewood in combination with the estimates of Vinogadov for exponential sums over primes gives an affirmative answer to the general Waring-Goldbach problem. In recent years, new ideas using the circle method, sieves, and exponential sums have been incorporated into the Waring-Goldbach problem, encouraging remarkable advances. The purpose of this book is to introduce some of these new ideas, illustrated by dealing with the Waring-Goldbach problem for lower degrees. Full Product DetailsAuthor: Jianya Liu , Tao ZhanPublisher: World Scientific Publishing Co Pte Ltd Imprint: World Scientific Publishing Co Pte Ltd ISBN: 9789812775924ISBN 10: 9812775927 Pages: 200 Publication Date: 31 July 2025 Audience: College/higher education , Undergraduate , Postgraduate, Research & Scholarly Format: Hardback Publisher's Status: Active Availability: Awaiting stock  The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you. Table of ContentsThe Riemann Zeta-Function and Dirichlet L-Functions; Sums of Two Squares, and of Two Squares of Primes; The Circle Method in the Waring-Goldbach Problem; The Large Sieve; The Major Arcs; Exponential Sums Over Primes; Sums of Squares of Primes; The Major Arcs, II; Introduction to Sieve Methods; Exponential Sums Over Primes, II; Sums of Cubes of Primes; Sums of Forth Powers of Primes; Sums of Fifth Powers of Primes; High Powers.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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