摘要
本文证明了一些关于1/π的新级数与相关同余式.我们也猜测了几类关于1/π的新级数与涉及素数二次型表示的相关同余式.
In this paper we prove some new series for 1/π as well as related congruences.We also raise several new kinds of series for 1/π and present some related conjectural congruences involving representations of primes by binary quadratic forms.Keywords series for 1/π,binomial coefficients,congruences
出处
《南京大学学报(数学半年刊)》
CAS
2014年第2期150-164,共15页
Journal of Nanjing University(Mathematical Biquarterly)
基金
Supported by the National Natural Science Foundation(grant 11171140)of China
关键词
1/π级数
二项式系数
同余式
AMS(2000)subject classification 11B65
33F05
05A10
11A07
11E25