Lower Order Terms for Expected Value of Traces of Frobenius of a Family of Cyclic Covers of $\mathbb{P}^1_{\mathbb{F}_q}$ and One-Level Densities

Patrick Meisner

Lower Order Terms for Expected Value of Traces of Frobenius of a Family of Cyclic Covers of $\mathbb{P}^1_{\mathbb{F}_q}$ and One-Level Densities

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2006.16886 v1 pith:YJAXBPGG submitted 2020-06-30 math.NT

Patrick Meisner This is my paper · ORCID

classification math.NT

keywords mathbbfamilyone-levelcoverscyclicdensityexpectedlower

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

abstract

We consider the expected value of $\mbox{Tr}(\Theta_C^n)$ where $C$ runs over a thin family of $r$-cyclic covers of $\mathbb{P}^1_{\mathbb{F}_q}$ for any $r$. We obtain many lower order terms dependent on the divisors of $r$. We use these results to calculate the one-level density of the family and hypothesize a refined one-level density result.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Multi-objective Portfolio Optimization Via Gradient Descent
cs.CE 2025-07 conditional novelty 4.0 of 10

A TensorFlow gradient descent framework optimizes portfolios over multiple objectives and constraints, matching exact solvers in simple cases and flexibly handling non-convex multi-objective problems.

Pith tools