Irrational HK multiplicities are possible for trinomial hyper surfaces
  A `trinomial hyper surface' is defined in \S 1 below. In this article, I provide a supportive reasoning towards the fact that there can be examples of trinomial hyper surfaces (at least over fields of characteristic 2) for which the corresponding Hilbert-Kunz multiplicity can become irrational. 
Shyamashree Upadhyay
math.CO math.AC