关于1/π的一些新级数与相关同余式（英文）  

SOME NEW SERIES FOR 1/π AND RELATED CONGRUENCES

作　　者：孙智伟[1] 

机构地区：[1]南京大学数学系,南京210093

出　　处：《南京大学学报（数学半年刊）》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

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

关 键 词：1/π级数 二项式系数 同余式 

分 类 号：O156[理学—数学]