Establishes statistics, averages, and moments of genus numbers for S3×Cq, D4, and pure quartic fields, plus a conjecture on zero-density families.
Malle’s conjecture forGˆA, with G“S 3, S4, S5.arXiv preprint arXiv:2004.04651,
2 Pith papers cite this work. Polarity classification is still indexing.
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math.NT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
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Statistics of the Genus Number of $S_3 \times C_q$ and $D_4$-fields
Establishes statistics, averages, and moments of genus numbers for S3×Cq, D4, and pure quartic fields, plus a conjecture on zero-density families.
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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.