|
|
| |
| HUA’S THEOREM WITH FIVE ALMOSTEQUAL PRIME VARIABLES |
| |
Citation： |
LU Guangshi.HUA’S THEOREM WITH FIVE ALMOSTEQUAL PRIME VARIABLES[J].Chinese Annals of Mathematics B,2005,26(2):291~304 |
| Page view： 1388
Net amount： 803 |
Authors： |
LU Guangshi; |
|
|
| Abstract： |
It is proved that each sufficiently large integer $N\equiv5(\bmod 24)$ can be written as $N=p_1^2+p_2^2+p_3^2+p_4^2+p_5^2$
with $|p_j-\sqrt{N/5}| \leq U=N^{\f{1}{2}-\f{1}{35}+\varepsilon},$
where $p_j$ are primes. This result, which is obtained by an
iterative method and a hybrid estimate for Dirichlet polynomial,
improves the previous results in this direction. |
Keywords： |
Additive theory of prime numbers, Circle method, Iterative method |
Classification： |
11P32, 11P05, 11N36, 11P55 |
|
|
Download PDF Full-Text
|
|
|
|
