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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
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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
作者 孙智伟
机构地区 南京大学数学系
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
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