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math.GR2017
The Multiplicities of Root Number Functions
Stefan-Christoph Virchow
We consider the th root number function for the symmetric group. Our aim is to develop an asymptotic formula for the multiplicities of the th root number function as tend…
math.GR2017
Application of Character Estimates to the Number of -Systems of the Alternating Group
Stefan-Christoph Virchow
We use character theory and character estimates to show that the number of -systems of is at least \begin{equation*} \frac{1}{8n\sqrt{3}}\exp\left(\frac{2π}{\sqrt{6}}n^{…