Proves Erdős-Kac type central limit theorems for the number of ramified primes in random G-extensions of number fields when G is abelian, including first examples of dependent local ramification events.
On the Distribution of Galois groups
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
Develops an optimized Ekedahl sieve for the discriminant polynomial singular locus that bypasses inductive steps and yields stronger tail estimates incorporating modular conditions.
Any order in a number field decomposes uniquely as an intersection of irreducible orders, with the index distributing multiplicatively and the conductor factoring into pairwise coprime ideals.
citing papers explorer
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Erd\H{o}s-Kac theorems for discriminants of number fields
Proves Erdős-Kac type central limit theorems for the number of ramified primes in random G-extensions of number fields when G is abelian, including first examples of dependent local ramification events.
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On the Ekedahl sieve for the singular locus of the discriminant polynomial
Develops an optimized Ekedahl sieve for the discriminant polynomial singular locus that bypasses inductive steps and yields stronger tail estimates incorporating modular conditions.
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Unique decomposition of orders
Any order in a number field decomposes uniquely as an intersection of irreducible orders, with the index distributing multiplicatively and the conductor factoring into pairwise coprime ideals.