the Cup Product's Applications To Ebisu's Method
Summary
In [Ebisu2017], Akihito Ebisu found a remarkable new method to derive
certain identities for hypergeometric functions, those identities are known
as special values. Ebisu's method involves the use of so-called contiguity
relations between hypergeometric functions. In this thesis, we study
Ebisu's method and give an alternative approach using cup product
relations. This alternative approach gives rise to a more insightful way to
do the calculations. With these new insights, we try to answer questions,
such as how many special values there exist and what there is beyond the
values Ebisu applied his method to in [Ebisu2017].