List of Conjectural Series for Powers of Π and Other Constants

نویسندگان

  • Zhi-Wei Sun
  • ZHI-WEI SUN
  • T. Hessami Pilehrood
چکیده

Here I give the full list of my conjectures on series for powers of π and other important constants scattered in some of my public preprints or my private diaries. The list contains totally 181 conjectural series. On the list there are 172 series for π−1, three series for π2, two series for π−2, one series for ζ(3), two series for L(2, ( · 3 )), and one series involving harmonic numbers. The code of a conjectural series is underlined if and only if a complete proof of the identity is available now. 1. Various series for some constants Conjecture 1. (i) (Z. W. Sun [S11, Conj. 1.4]) We have

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تاریخ انتشار 2011