Hilbert–Kunz function
In algebra, the Hilbert–Kunz function of a local ring (R, m) of characteristic p is the function
![{\displaystyle f(q)=\operatorname {length} _{R}(R/m^{[q]})}](https://wikimedia.org/enwiki/api/rest_v1/media/math/render/svg/0f3f8f6f04b331d9044200a42e11ab8351885954)
where is the ideal generated the q-th power of elements of the maximal ideal m.
![{\displaystyle m^{[q]}}](https://wikimedia.org/enwiki/api/rest_v1/media/math/render/svg/30635fe3e96c9f4ca1fc9806db1f8bf9ba46e090)
References
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