Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2022; 59(2): 407-420

Online first article February 16, 2022      Printed March 1, 2022

https://doi.org/10.4134/JKMS.j210371

Copyright © The Korean Mathematical Society.

Goldbach-Linnik type problems with unequal powers of primes

Li Zhu

Shanghai Lixin University of Accounting and Finance

Abstract

It is proved that every sufficiently large even integer can be represented as a sum of two squares of primes, two cubes of primes, two fourth powers of primes and 17 powers of 2.

Keywords: Waring-Goldbach problem, Hardy-Littlewood method

MSC numbers: Primary 11P05, 11P55

Supported by: This work was supported by The National Natural Science Foundation of China (grant no. 11771333).

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