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New Developments in the Additive Theory of Prime Numbers

New Developments in the Additive Theory of Prime Numbers

by Jianya Liu and Tao Zhan
Hardback
Publication Date: 01/03/2024

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The 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.
ISBN:
9789812775924
9789812775924
Category:
Number theory
Format:
Hardback
Publication Date:
01-03-2024
Publisher:
World Scientific Publishing Co Pte Ltd
Country of origin:
Singapore
Pages:
200

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