Automorphic Forms and Arithmetic

Project Information

AuForA

Grant agreement ID: 101054336

DOI

10.3030/101054336

EC signature date 5 September 2022

Start date 1 April 2023

End date 31 March 2028

Funded under

• European Research Council (ERC)

Total cost

€ 1 956 665,00

EU contribution

€ 1 956 665,00

Coordinated by

RHEINISCHE FRIEDRICH-WILHELMS-UNIVERSITAT BONN
Germany

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (18)

Spectral Reciprocity for the first moment of triple product L-functions and applications

Author(s): Xinchen Miao
Published in: 2025
Publisher: Arxiv
DOI: 10.48550/arXiv.2501.10418

Local integral transforms and global spectral decomposition

Author(s): Valentin Blomer, Subhajit Jana, Paul D. Nelson
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/arXiv.2404.10692

Moments of symmetric square L$L$‐functions on GL(3)${\rm GL}(3)$

Author(s): Valentin Blomer, Félicien Comtat
Published in: Proceedings of the London Mathematical Society, Issue 130, 2025, ISSN 0024-6115
Publisher: Wiley
DOI: 10.1112/plms.70033

Generation of Hecke fields by squares of cyclotomic twists of modular L-values

Author(s): Valentin Blomer, Ashay Burungale, Philippe Michel, Jun-Hwi Min
Published in: 2025
Publisher: Arxiv
DOI: 10.48550/arXiv.2503.15040

The sup-norm problem for newforms of large level on PGL(n)

Author(s): Radu Toma
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/arXiv.2401.02741

Bounds for Kloosterman sums on $$\textrm{GL}(n)$$

Author(s): Valentin Blomer, Siu Hang Man
Published in: Mathematische Annalen, Issue 390, 2023, ISSN 0025-5831
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s00208-023-02777-6

The mixing conjecture under GRH

Author(s): Valentin Blomer, Farrell Brumley, Ilya Khayutin
Published in: 2022
Publisher: Arxiv
DOI: 10.48550/arXiv.2212.06280

Spectral Reciprocity and Hybrid Subconvexity Bound for triple product L-functions

Author(s): Xinchen Miao
Published in: 2025
Publisher: Arxiv
DOI: 10.48550/arXiv.2501.04022

Triple sums of Kloosterman sums and the discrepancy of modular inverses

Author(s): Valentin Blomer, Morten S. Risager, Igor E. Shparlinski
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/arXiv.2411.17823

The density conjecture for principal congruence subgroups

Author(s): Edgar Assing, Valentin Blomer
Published in: Duke Mathematical Journal, Issue 173, 2024, ISSN 0012-7094
Publisher: Duke University Press
DOI: 10.1215/00127094-2023-0040

"A GL(3) converse theorem via a ""beyond endoscopy'' approach"

Author(s): Valentin Blomer, Wing Hong Leung
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/arXiv.2401.04037

A weighted vertical Sato-Tate law for Maaß forms on GSp4

Author(s): Félicien Comtat
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/arXiv.2409.06027

Hyperbolic lattice point counting in unbounded rank

Author(s): Valentin Blomer, Christopher Lutsko
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal), 2024, ISSN 0075-4102
Publisher: Walter de Gruyter GmbH
DOI: 10.1515/crelle-2024-0037

The unipotent mixing conjecture

Author(s): Valentin Blomer, Philippe Michel
Published in: Journal d'Analyse Mathématique, Issue 151, 2023, ISSN 0021-7670
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/s11854-023-0326-8

Schubert cells and Whittaker functionals for GL(n,ℝ) part II: Existence via integration by parts

Author(s): Doyon Kim
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/arXiv.2411.09862

Zeros of L-functions in families near the critical line

Author(s): Valentin Blomer, Jesse Thorner
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/arXiv.2410.17158

Local analysis of the Kuznetsov formula and the density conjecture

Author(s): Edgar Assing, Valentin Blomer, Paul D. Nelson
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/arXiv.2404.05561

Schubert cells and Whittaker functionals for GL(n, R) part I: Combinatorics

Author(s): Doyon Kim
Published in: 2024
Publisher: Arxiv
DOI: 10.48550/arXiv.2410.13519