Relevant bibliographies by topics / Hermitian cusp forms

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  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Hermitian cusp forms'

Author: Grafiati
Published: 6 September 2023
Last updated: 31 July 2025

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Journal articles on the topic "Hermitian cusp forms"

1

Yamana, Shunsuke. "On the lifting of Hilbert cusp forms to Hilbert-Hermitian cusp forms." Transactions of the American Mathematical Society 373, no. 8 (2020): 5395–438. http://dx.doi.org/10.1090/tran/8096.

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BERGER, TOBIAS, and KRZYSZTOF KLOSIN. "A p-ADIC HERMITIAN MAASS LIFT." Glasgow Mathematical Journal 61, no. 1 (2018): 85–114. http://dx.doi.org/10.1017/s0017089518000071.

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AbstractFor K, an imaginary quadratic field with discriminant −DK, and associated quadratic Galois character χK, Kojima, Gritsenko and Krieg studied a Hermitian Maass lift of elliptic modular cusp forms of level DK and nebentypus χK via Hermitian Jacobi forms to Hermitian modular forms of level one for the unitary group U(2, 2) split over K. We generalize this (under certain conditions on K and p) to the case of p-oldforms of level pDK and character χK. To do this, we define an appropriate Hermitian Maass space for general level and prove that it is isomorphic to the space of special Hermitian
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3

Eie, Min King. "A dimension formula for Hermitian modular cusp forms of degree two." Transactions of the American Mathematical Society 300, no. 1 (1987): 61. http://dx.doi.org/10.1090/s0002-9947-1987-0871665-3.

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4

Kumar, Arvind, and B. Ramakrishnan. "Estimates for Fourier coefficients of Hermitian cusp forms of degree two." Acta Arithmetica 183, no. 3 (2018): 257–75. http://dx.doi.org/10.4064/aa170301-26-10.

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5

Gritsenko, V. A. "Construction of hermitian modular forms of genus 2 from cusp forms of genus 1." Journal of Soviet Mathematics 38, no. 4 (1987): 2065–78. http://dx.doi.org/10.1007/bf01474440.

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6

Berman, Robert J., and Gerard Freixas i Montplet. "An arithmetic Hilbert–Samuel theorem for singular hermitian line bundles and cusp forms." Compositio Mathematica 150, no. 10 (2014): 1703–28. http://dx.doi.org/10.1112/s0010437x14007325.

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AbstractWe prove arithmetic Hilbert–Samuel type theorems for semi-positive singular hermitian line bundles of finite height. This includes the log-singular metrics of Burgos–Kramer–Kühn. The results apply in particular to line bundles of modular forms on some non-compact Shimura varieties. As an example, we treat the case of Hilbert modular surfaces, establishing an arithmetic analogue of the classical result expressing the dimensions of spaces of cusp forms in terms of special values of Dedekind zeta functions.
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Kikuta, Toshiyuki, and Yoshinori Mizuno. "On p -adic Hermitian Eisenstein series and p -adic Siegel cusp forms." Journal of Number Theory 132, no. 9 (2012): 1949–61. http://dx.doi.org/10.1016/j.jnt.2012.03.003.

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8

Anamby, Pramath, and Soumya Das. "Distinguishing Hermitian cusp forms of degree 2 by a certain subset of all Fourier coefficients." Publicacions Matemàtiques 63 (January 1, 2019): 307–41. http://dx.doi.org/10.5565/publmat6311911.

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Eie, Min King. "Contributions from conjugacy classes of regular elliptic elements in Hermitian modular groups to the dimension formula of Hermitian modular cusp forms." Transactions of the American Mathematical Society 294, no. 2 (1986): 635. http://dx.doi.org/10.1090/s0002-9947-1986-0825727-6.

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10

Matthes, Roland, and Yoshinori Mizuno. "Koecher-Maass series associated to Hermitian modular forms of degree 2 and a characterization of cusp forms by the Hecke bound." Journal of Mathematical Analysis and Applications 509, no. 1 (2022): 125904. http://dx.doi.org/10.1016/j.jmaa.2021.125904.

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Dissertations / Theses on the topic "Hermitian cusp forms"

1

Pramath, A. V. "Fourier coeffcients of modular forms and mass of pullbacks of Saito–Kurokawa lifts." Thesis, 2019. https://etd.iisc.ac.in/handle/2005/5101.

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In the first part of the talk we would discuss a topic about the Fourier coefficients of modular forms. Namely, we would focus on the question of distinguishing two modular forms by certain ‘arithmetically interesting’ Fourier coefficients. These type of results are known as ‘recognition results’ and have been a useful theme in the theory of modular forms, having lots of applications. As an example we would recall the Sturm’s bound (which applies quite generally to a wide class of modular forms), which says that two modular forms are equal if (in a suitable sense) their ‘first’ few Fouri
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