scholarly journals Andrews' Conjecture on a $_4\phi_3$ Summation and its Extensions

10.37236/2124 ◽  
2012 ◽  
Vol 18 (2) ◽  
Author(s):  
Yan-Ping Mu
Keyword(s):  

We give a computer proof of Andrews' conjecture on a $_4\phi_3$ summation and extend the result to a family of $_4\phi_3$ summations.

2001 ◽  
Vol 32 (1) ◽  
pp. 111-114
Author(s):  
Steve Seiden
Keyword(s):  

2016 ◽  
Vol 32 (6) ◽  
pp. 829.e11-829.e13 ◽  
Author(s):  
Maksymilian P. Opolski ◽  
Artur Debski ◽  
Bartosz A. Borucki ◽  
Marcin Szpak ◽  
Adam D. Staruch ◽  
...  

2013 ◽  
Vol 236 ◽  
pp. 205-217 ◽  
Author(s):  
Jeannine J.M. Gabriëls ◽  
Mirko Navara

1991 ◽  
Vol 117 (1-2) ◽  
pp. 109-114
Author(s):  
Edmund F. Robertson ◽  
Kevin Rutherford

SynopsisA gp-toolkit consisting of computer implementations of various group theory methods, in particular a Tietze transformation program, was designed. Special cases of a conjecture were solved by the gp-toolkit. Examination of the method used by the gp-toolkit to deduce relations showed that a general approach had been employed. We present a proof verifying that the conjecture is true which is a straightforward generalisation of the method discovered by the gp-toolkit.


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