本文選題：哥德巴赫問題 + 奇異級數(shù)　； 參考：《華北水利水電大學(xué)》2016年碩士論文

【摘要】：本課題利用D.A.Goldston等研究偶數(shù)哥德巴赫問題中的奇異級數(shù)余項G_(2_y)(k)的方法來研究G_(t_y)(k)并且利用Montgomery和Soundararajan研究偶數(shù)哥德巴赫問題中的奇異級數(shù)G_2(k)的方法來研究奇數(shù)哥德巴赫問題中的奇異級數(shù)G_3(k).最后得到sum from k≤n (N-k)~2 G_(t_y)(k)~2和sum from k≤n(N-k)G_3(k)的漸近公式:定理1當(dāng)1≤y≤N~(1/2)時,對于任意固定的δ(0δ1),有定理2當(dāng)N≥1時,
[Abstract]:In this paper, we use the method of D.A.Goldston and others to study the odd series remainder in the even number Goldbach problem, and use Montgomery and Soundararajan to study the singular series G2K in the even number Goldbach problem to study the odd Goldbach question. Singular series G _ 3 in the title. Finally, we obtain the asymptotic formulas of sum from k 鈮，

本文編號：1815210