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Category: <span>zeta functions</span>
Home Archive for category "zeta functions"

Category: zeta functions

The counting matrix of a simplicial complex
discrete geometry, Graph theory, quantum calculus, simplicial complex, zeta functions

The counting matrix of a simplicial complex

By oliverknill July 22, 2019 November 25, 2019

The counting matrix of a simplicial complex has determinant 1 and is isospectral to its inverse. The sum of the matrix entries of the inverse is the number of elements in the complex.

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A Dyadic Riemann hypothesis
discrete geometry, ergodic theory, Graph theory, quantum calculus, zeta functions

A Dyadic Riemann hypothesis

By oliverknill January 3, 2018 April 13, 2018  dyadic group, simplicial compleses, zeta function

When replacing the circle group with the dyadic group of integers, the Riemann zeta function becomes an explicit entire function for which all roots are on the imaginary axes. This is the Dyadic Riemann Hypothesis.

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