Develops multiple Dirichlet series methods to count G-extensions for infinitely many new Galois groups G, with unconditional results for concentrated groups and conditional asymptotics including all nilpotency class 2 groups.
CountingD 4-field extensions by multi-invariants.arXiv preprint arXiv:2507.12342
2 Pith papers cite this work. Polarity classification is still indexing.
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At least 77% of Artin L-functions for D4-quartic function fields are non-vanishing at s=1/2 when ordered by conductor.
citing papers explorer
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Counting number fields using multiple Dirichlet series
Develops multiple Dirichlet series methods to count G-extensions for infinitely many new Galois groups G, with unconditional results for concentrated groups and conditional asymptotics including all nilpotency class 2 groups.
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Non-vanishing of Artin $L$-functions associated with $D_4$-quartic function fields ordered by conductor
At least 77% of Artin L-functions for D4-quartic function fields are non-vanishing at s=1/2 when ordered by conductor.