涓浗绉戝闄㈡暟瀛︿笌绯荤粺绉戝鐮旂┒闄㈡湡鍒婄綉

Acta Mathematica Sinica, Chinese Series 鈥衡�� 2006, Vol. 49 鈥衡�� Issue (2): 405-420.DOI: 10.12386/A2006sxxb0051

鈥� 璁烘枃 鈥� Previous Articles     Next Articles

The Five Prime Squares Theorem in Short Intervals

Xian Meng MENG   

  1. Xian Meng MENG School of Computer Science and Technology, Shandong University, Jinan 250100, P. R. China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-03-15 Published:2006-03-15
  • Contact: Xian Meng MENG

灏忓尯闂翠笂鐨勪簲绱犳暟骞虫柟鍜屽畾鐞�

瀛熷钀�;   

  1. 灞变笢澶у璁＄畻鏈虹瀛︿笌鎶�鏈闄� 娴庡崡 250100
  • 閫氳浣滆��: 瀛熷钀�

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Abstract: Let N = 5 (mod 24) be sufficiently large positive integer. We prove that the Diophantine equation with prime variables N = p21 + p22 + 鈥�+p52 has solutions subject to the generalized Riemann hypothesis, where pi satisfies

鎽樿锛� 璁綨鈮�5(mod24)涓哄厖鍒嗗ぇ鐨勬鏁存暟,鏈枃鍦ㄥ箍涔塕iemann鍋囪涓嬭瘉鏄庝簡绱犲彉鏁版柟绋婲=P21+P22+鈥�+P52鏈夎В,杩欓噷绱犳暟P婊¤冻

鍏抽敭璇�: 绛涙硶, 鎸囨暟鍜�, 鍦嗘硶

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