One Level Density of Low-lying Zeros of Quadratic Hecke L-functions of Imaginary Quadratic Number Fields | PERPUSTAKAAN UNIVERSITAS KATOLIK PARAHYANGAN

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One Level Density of Low-lying Zeros of Quadratic Hecke L-functions of Imaginary Quadratic Number Fields

Gao, Peng - Nama Orang; Zhao, Liangyi - Nama Orang;

In this paper, we prove a one level density result for the low-lying zeros of quadratic Hecke L-functions of imaginary quadratic number fields of class number one. As a corollary, we deduce, essentially, that at least (19−cot(1/4))/16=94.27...% of the L-functions under consideration do not vanish at 1/2.

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Informasi Detail

Judul Seri: JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY; Vol.112 Issue 2 April 2022
No. Panggil: -
Penerbit: : .,
Deskripsi Fisik: p. 170-192
Bahasa: English
ISBN/ISSN: -
Klasifikasi: NONE
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: -
Subjek: ONE-LEVEL DENSITY
LOW-LYING ZEROS
QUADRATIC HECKE CHARACTER
HECKE L-FUNCTIONS
Info Detail Spesifik: DOI: https://doi.org/10.1017/S1446788720000397
Pernyataan Tanggungjawab: Peng Gao, Liangyi Zhao

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