Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023)

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Representation by sums of ascending even prime powers

Authors
Linlin Wang1, *, Qiyu Yang1, Doudou Zhu1
1Institute of Mathematics, Henan Academy of Sciences, Zhengzhou, Henan, 450046, P. R. China
*Corresponding author.
Corresponding Author
Linlin Wang
Available Online 2 August 2024.
DOI
10.2991/978-94-6463-463-1_4How to use a DOI?
Keywords
Warning’s problem; Hardy-Littlewood method; prime powers
Abstract

In this work, we investigate the representation of numbers as sums of powers of prime numbers. It is shown that all sufficiently large integers are sums of some ascending even prime powers.

Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023)
Series
Advances in Physics Research
Publication Date
2 August 2024
ISBN
978-94-6463-463-1
ISSN
2352-541X
DOI
10.2991/978-94-6463-463-1_4How to use a DOI?
Copyright
© 2024 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

risenwbib
TY  - CONF
AU  - Linlin Wang
AU  - Qiyu Yang
AU  - Doudou Zhu
PY  - 2024
DA  - 2024/08/02
TI  - Representation by sums of ascending even prime powers
BT  - Proceedings of the International Academic Summer Conference on Number Theory and Information Security (NTIS 2023)
PB  - Atlantis Press
SP  - 52
EP  - 63
SN  - 2352-541X
UR  - https://doi.org/10.2991/978-94-6463-463-1_4
DO  - 10.2991/978-94-6463-463-1_4
ID  - Wang2024
ER  -