New equidistribution estimates of Zhang type

New equidistribution estimates of Zhang type
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DOI:
10.2140/ant.2014.8.2067
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发表时间:
2014-12
影响因子:
1.3
通讯作者:
W. Castryck;É. Fouvry;G. Harcos;E. Kowalski;P. Michel;Paul D. Nelson;E. Paldi;J. Pintz;Andrew V. Sutherland;T. Tao;Xiaowei Xie
W. Castryck;É. Fouvry;G. Harcos;E. Kowalski;P. Michel;Paul D. Nelson;E. Paldi;J. Pintz;Andrew V. Sutherland;T. Tao;Xiaowei Xie
中科院分区:
数学2区
文献类型:
--
作者:
W. Castryck;É. Fouvry;G. Harcos;E. Kowalski;P. Michel;Paul D. Nelson;E. Paldi;J. Pintz;Andrew V. Sutherland;T. Tao;Xiaowei Xie

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对于满足中国剩余定理条件的同余类,我们证明了大模光滑无平方算术级数中素数的分布估计,得到了分布指数1/2+7/300。
We prove distribution estimates for primes in arithmetic progressions to large smooth squarefree moduli, with respect to congruence classes obeying Chinese remainder theorem conditions, obtaining an exponent of distribution 1/2 + 7/300.