Weighted enumeration of number-fields and counting points that take bounded squarefree values along certain polynomials using Pseudo and Sudo maximal orders

Gaurav Digambar Patil

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arXiv · 2411.10917

Weighted enumeration of number-fields and counting points that take bounded squarefree values along certain polynomials using Pseudo and Sudo maximal orders

Gaurav Digambar Patil

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Abstract

Ekedhal Sieve can be used to count squarefree bounded values of a polynomial closely related to the discriminant polynomial and one can also get a weighted lower bounds for the number of number fields with bounded discriminant which show a limsup much larger than current known bounds.

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Gaurav Digambar Patil. 2024-11-17. Weighted enumeration of number-fields and counting points that take bounded squarefree values along certain polynomials using Pseudo and Sudo maximal orders. https://arxiv.org/abs/2411.10917

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