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Bounds for moments of quadratic Dirichlet character sums

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Peng Gao, Liangyi Zhao

Number Theory · Submitted 18 Feb 2024

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We establish upper bounds for moments of smoothed quadratic Dirichlet character sums under the generalized Riemann hypothesis, confirming a conjecture of M. Jutila.

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arXiv ID2403.14634 (version 2)
Pith IDUFO7WVWA, Pith's permanent record of this paper and its review
CitationLiangyi Zhao, Peng Gao. "Bounds for moments of quadratic Dirichlet character sums." arXiv:2403.14634 (2024). https://pith.science/paper/UFO7WVWA
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 1,615 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.60 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.30 · compares with prior results 0.27 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We establish upper bounds for moments of smoothed quadratic Dirichlet character sums under the generalized Riemann hypothesis, confirming a conjecture of M. Jutila.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We establish upper bounds for moments of smoothed quadratic Dirichlet character sums under the generalized Riemann hypothesis, confirming a conjecture of M. Jutila. result 0.54 0.95 0.95 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We establish upper bounds for moments of smoothed quadratic Dirichlet character sums under the generalized Riemann hypothesis, confirming a conjecture of M. Jutila.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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