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math.NT2021
A Secondary Term for Quartic Fields Ordered By Conductor
Matthew Friedrichsen
To any quartic extension of , one can associate the Artin conductor of a 2-dimensional irreducible representation of the group. Altŭg, Shankar, Varma, and Wilson…
math.NT2019
Comparing the density of D_4 and S_4 quartic extensions of number fields
Matthew Friedrichsen, Daniel Keliher
When ordered by discriminant, it is known that about 83% of quartic fields over Q have associated Galois group S_4, while the remaining 17% have Galois group D_4. We study these pr…
math.NT2014★ 3 cited
Statistics for fixed points of the self-power map
Matthew Friedrichsen, Joshua Holden
The map x -> x^x modulo p is related to a variation of the digital signature scheme in a similar way to the discrete exponentiation map, but it has received much less study. We exp…