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The quadratic Waring-Goldbach problem |
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| Authors: | Jianya Liu Trevor D Wooley |
| Affiliation: | a Department of Mathematics, Shandong University, Jinan, Shandong 250100, China b Department of Mathematics, University of Michigan, East Hall, 525 East University Avenue, Ann Arbor, MI 48109-1109, USA c Department of Mathematics, College of Science and Mathematics, Room 300-D, Leconte College, 1523 Greene Street, Columbia, SC 29208-0001, USA |
| Abstract: | It is conjectured that Lagrange's theorem of four squares is true for prime variables, i.e. all positive integers n with  are the sum of four squares of primes. In this paper, the size for the exceptional set in the above conjecture is reduced to  . |
| Keywords: | 11P32 11P05 11N36 11P55 |
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