Hybrid subconvexity for class group L-functions and uniform sup norm bounds of Eisenstein series

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Standard

Hybrid subconvexity for class group L-functions and uniform sup norm bounds of Eisenstein series. / Nordentoft, Asbjørn Christian.

I: Forum Mathematicum, Bind 33, Nr. 1, 2021, s. 39-57.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Nordentoft, AC 2021, 'Hybrid subconvexity for class group L-functions and uniform sup norm bounds of Eisenstein series', Forum Mathematicum, bind 33, nr. 1, s. 39-57. https://doi.org/10.1515/forum-2019-0173

APA

Nordentoft, A. C. (2021). Hybrid subconvexity for class group L-functions and uniform sup norm bounds of Eisenstein series. Forum Mathematicum, 33(1), 39-57. https://doi.org/10.1515/forum-2019-0173

Vancouver

Nordentoft AC. Hybrid subconvexity for class group L-functions and uniform sup norm bounds of Eisenstein series. Forum Mathematicum. 2021;33(1):39-57. https://doi.org/10.1515/forum-2019-0173

Author

Nordentoft, Asbjørn Christian. / Hybrid subconvexity for class group L-functions and uniform sup norm bounds of Eisenstein series. I: Forum Mathematicum. 2021 ; Bind 33, Nr. 1. s. 39-57.

Bibtex

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title = "Hybrid subconvexity for class group L-functions and uniform sup norm bounds of Eisenstein series",
abstract = "In this paper, we study hybrid subconvexity bounds for class group L-functions associated to quadratic extensions K/ℚ (real or imaginary). Our proof relies on relating the class group L-functions to Eisenstein series evaluated at Heegner points using formulas due to Hecke. The main technical contribution is the uniform sup norm bound for Eisenstein series E(z, 1/2 + it) ≪ε y1/2(|t| + 1)1/3+ε, y ≫ 1, extending work of Blomer and Titchmarsh. Finally, we propose a uniform version of the sup norm conjecture for Eisenstein series.",
author = "Nordentoft, {Asbj{\o}rn Christian}",
year = "2021",
doi = "10.1515/forum-2019-0173",
language = "English",
volume = "33",
pages = "39--57",
journal = "Forum Mathematicum",
issn = "0933-7741",
publisher = "Walterde Gruyter GmbH",
number = "1",

}

RIS

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AU - Nordentoft, Asbjørn Christian

PY - 2021

Y1 - 2021

N2 - In this paper, we study hybrid subconvexity bounds for class group L-functions associated to quadratic extensions K/ℚ (real or imaginary). Our proof relies on relating the class group L-functions to Eisenstein series evaluated at Heegner points using formulas due to Hecke. The main technical contribution is the uniform sup norm bound for Eisenstein series E(z, 1/2 + it) ≪ε y1/2(|t| + 1)1/3+ε, y ≫ 1, extending work of Blomer and Titchmarsh. Finally, we propose a uniform version of the sup norm conjecture for Eisenstein series.

AB - In this paper, we study hybrid subconvexity bounds for class group L-functions associated to quadratic extensions K/ℚ (real or imaginary). Our proof relies on relating the class group L-functions to Eisenstein series evaluated at Heegner points using formulas due to Hecke. The main technical contribution is the uniform sup norm bound for Eisenstein series E(z, 1/2 + it) ≪ε y1/2(|t| + 1)1/3+ε, y ≫ 1, extending work of Blomer and Titchmarsh. Finally, we propose a uniform version of the sup norm conjecture for Eisenstein series.

UR - http://www.scopus.com/inward/record.url?scp=85096200541&partnerID=8YFLogxK

U2 - 10.1515/forum-2019-0173

DO - 10.1515/forum-2019-0173

M3 - Journal article

AN - SCOPUS:85096200541

VL - 33

SP - 39

EP - 57

JO - Forum Mathematicum

JF - Forum Mathematicum

SN - 0933-7741

IS - 1

ER -

ID: 256678787