Journal article
Equal Sums of Two $k$th Powers
- Abstract:
-
Let k ≥ 5 be an integer, and let x ≥ 1 be an arbitrary real number. We derive a bound
Oε,k (x2/3k+ε + x3/k√k+2/k(k-1)+ε),
for the number of positive integers less than or equal to x which can be represented as a sum of two non-negative coprime kth powers, in essentially more than one way.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
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(Preview, Version of record, pdf, 237.5KB, Terms of use)
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- Publisher copy:
- 10.1006/jnth.2002.2800
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Browning, T
- Grant:
- 9800166x
- Publisher:
- Elsevier
- Journal:
- Journal of Number Theory More from this journal
- Volume:
- 96
- Issue:
- 2
- Pages:
- 293-318
- Publication date:
- 2002-10-01
- Edition:
- Publisher's version
- DOI:
- ISSN:
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0022-314X
- Language:
-
English
- Keywords:
- Subjects:
- UUID:
-
uuid:e9bb12fd-abae-4326-9c18-e49ecd6e6406
- Local pid:
-
ora:8863
- Deposit date:
-
2014-08-05
Terms of use
- Copyright holder:
- Elsevier Science
- Copyright date:
- 2002
- Notes:
- Copyright 2002 Elsevier B.V. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
- Licence:
- Other
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