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Cohomology of arithmetic groups with infinite dimensional coefficient spaces

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Anton Deitmar, Joachim Hilgert

Number Theory · Submitted 28 Nov 2003

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

The authors' main claim As a result we get a simultaneous generalization of the Patterson-Conjecture and the Lewis-Correspondence.

how it is stated · asserted 1.00 read the record →

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arXiv IDmath/0311526 (version 2)
Pith IDDR2QW6UD, Pith's permanent record of this paper and its review
CitationAnton Deitmar, Joachim Hilgert. "Cohomology of arithmetic groups with infinite dimensional coefficient spaces." arXiv:math/0311526 (2003). https://pith.science/paper/DR2QW6UD
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,217 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.58 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The cuspidal cohomology groups of arithmetic groups in certain infinite dimensional Modules are computed. As a result we get a simultaneous generalization of the Patterson-Conjecture and the Lewis-Correspondence.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 The cuspidal cohomology groups of arithmetic groups in certain infinite dimensional Modules are computed. result 0.63 0.89 0.41 asserted 1.00
s1 As a result we get a simultaneous generalization of the Patterson-Conjecture and the Lewis-Correspondence. interpretation 0.69 0.88 0.74 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

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  • references and citing sentences
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  • T body sentences
  • C citations
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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

The cuspidal cohomology groups of arithmetic groups in certain infinite dimensional Modules are computed. As a result we get a simultaneous generalization of the Patterson-Conjecture and the Lewis-Correspondence.

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