The distribution of Manin's iterated integrals of modular forms

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

The distribution of Manin's iterated integrals of modular forms. / Matthes, Nils; Risager, Morten S.

In: Journal fur die Reine und Angewandte Mathematik, 2024.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Matthes, N & Risager, MS 2024, 'The distribution of Manin's iterated integrals of modular forms', Journal fur die Reine und Angewandte Mathematik. https://doi.org/10.1515/crelle-2024-0024

APA

Matthes, N., & Risager, M. S. (2024). The distribution of Manin's iterated integrals of modular forms. Journal fur die Reine und Angewandte Mathematik. https://doi.org/10.1515/crelle-2024-0024

Vancouver

Matthes N, Risager MS. The distribution of Manin's iterated integrals of modular forms. Journal fur die Reine und Angewandte Mathematik. 2024. https://doi.org/10.1515/crelle-2024-0024

Author

Matthes, Nils ; Risager, Morten S. / The distribution of Manin's iterated integrals of modular forms. In: Journal fur die Reine und Angewandte Mathematik. 2024.

Bibtex

@article{9db4b413af75422f90161c0a6c9bc98f,
title = "The distribution of Manin's iterated integrals of modular forms",
abstract = "We determine the asymptotic distribution of Manin's iterated integrals of length at most 2. For all lengths, we compute all the asymptotic moments. We show that if the length is at least 3, these moments do in general not determine a unique distribution. ",
author = "Nils Matthes and Risager, {Morten S.}",
note = "Publisher Copyright: {\textcopyright} 2024 Walter de Gruyter GmbH, Berlin/Boston 2024.",
year = "2024",
doi = "10.1515/crelle-2024-0024",
language = "English",
journal = "Journal fuer die Reine und Angewandte Mathematik",
issn = "0075-4102",
publisher = "Walterde Gruyter GmbH",

}

RIS

TY - JOUR

T1 - The distribution of Manin's iterated integrals of modular forms

AU - Matthes, Nils

AU - Risager, Morten S.

N1 - Publisher Copyright: © 2024 Walter de Gruyter GmbH, Berlin/Boston 2024.

PY - 2024

Y1 - 2024

N2 - We determine the asymptotic distribution of Manin's iterated integrals of length at most 2. For all lengths, we compute all the asymptotic moments. We show that if the length is at least 3, these moments do in general not determine a unique distribution.

AB - We determine the asymptotic distribution of Manin's iterated integrals of length at most 2. For all lengths, we compute all the asymptotic moments. We show that if the length is at least 3, these moments do in general not determine a unique distribution.

UR - http://www.scopus.com/inward/record.url?scp=85193017772&partnerID=8YFLogxK

U2 - 10.1515/crelle-2024-0024

DO - 10.1515/crelle-2024-0024

M3 - Journal article

AN - SCOPUS:85193017772

JO - Journal fuer die Reine und Angewandte Mathematik

JF - Journal fuer die Reine und Angewandte Mathematik

SN - 0075-4102

ER -

ID: 392565220