On Hecke L-series associated with cubic characters

Wenzhi Luo

doi:10.1112/S0010437X0400051X

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this work we study the moments of central values of Hecke L-functions associated with cubic characters, and establish quantitative non-vanishing result for the L-values.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Brubaker, Ben Friedberg, Solomon and Hoffstein, Jeffrey 2005. Cubic twists of GL(2) automorphic L-functions. Inventiones mathematicae, Vol. 160, Issue. 1, p. 31.

Xia, Honggang 2007. On zeros of cubic L-functions. Journal of Number Theory, Vol. 124, Issue. 2, p. 415.

Baier, Stephan and Young, Matthew P. 2010. Mean values with cubic characters. Journal of Number Theory, Vol. 130, Issue. 4, p. 879.

Gao, Peng and Zhao, Liangyi 2011. One level density of low-lying zeros of families of L-functions. Compositio Mathematica, Vol. 147, Issue. 1, p. 1.

Blomer, Valentin Goldmakher, Leo and Louvel, Benoît 2014. L-Functions with n-th-Order Twists. International Mathematics Research Notices, Vol. 2014, Issue. 7, p. 1925.

Gao, Peng and Zhao, Liangyi 2020. First moment of Hecke L-functions with quartic characters at the central point. Mathematische Zeitschrift, Vol. 294, Issue. 3-4, p. 1841.

Gao, Peng and Zhao, Liangyi 2020. One-Level Density of Low-lying Zeros of Quadratic and Quartic Hecke -functions. Canadian Journal of Mathematics, Vol. 72, Issue. 2, p. 427.

Gao, Peng and Zhao, Liangyi 2020. Moments of central values of cubic Hecke L-functions of $${\mathbb {Q}}(i)$$. Research in Number Theory, Vol. 6, Issue. 1,

Gao, Peng and Zhao, Liangyi 2020. Moments of quadratic Hecke L-functions of imaginary quadratic number fields. Journal of Number Theory, Vol. 209, Issue. , p. 359.

Akbary, Amir and Hamieh, Alia 2020. Value-distribution of cubic Hecke L-functions. Journal of Number Theory, Vol. 206, Issue. , p. 81.

David, Chantal Florea, Alexandra and Lalin, Matilde 2021. Nonvanishing for cubic L-functions. Forum of Mathematics, Sigma, Vol. 9, Issue. ,

Gao, Peng and Zhao, Liangyi 2021. Moments of central values of quartic Dirichlet L-functions. Journal of Number Theory, Vol. 228, Issue. , p. 342.

Gao, Peng and Zhao, Liangyi 2022. First moments of some Hecke $L$-functions of prime moduli. Functiones et Approximatio Commentarii Mathematici, Vol. 66, Issue. 2,

David, Chantal Florea, Alexandra and Lalín, Matilde 2022. The mean values of cubic L-functions over function fields. Algebra & Number Theory, Vol. 16, Issue. 5, p. 1259.

David, Chantal and Güloğlu, Ahmet M 2022. One-Level Density and Non-Vanishing for Cubic L-Functions Over the Eisenstein Field. International Mathematics Research Notices, Vol. 2022, Issue. 23, p. 18833.

David, Chantal Lalín, Matilde and Nam, Jungbae 2023. Conjectures for Moments Associated With Cubic Twists of Elliptic Curves. Experimental Mathematics, Vol. 32, Issue. 1, p. 105.

Mine, Masahiro 2023. The value-distribution of artin L-functions associated with cubic fields in conductor aspect. Mathematische Zeitschrift, Vol. 304, Issue. 4,

Lee, Yoonjin Lee, Jungyun and Yoo, Jinjoo 2023. Average value of the divisor class numbers of real cubic function fields. Open Mathematics, Vol. 21, Issue. 1,

Güloğlu, Ahmet M. and Yesilyurt, Hamza 2024. Mollified moments of cubic Dirichlet L-functions over the Eisenstein field. Journal of Mathematical Analysis and Applications, Vol. 533, Issue. 2, p. 128014.

Gao, Peng and Zhao, Liangyi 2024. Moments and one level density of sextic Hecke $L$-functions. Functiones et Approximatio Commentarii Mathematici, Vol. 70, Issue. 1,

Article contents

On Hecke L-series associated with cubic characters

Abstract

Keywords

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

On Hecke L-series associated with cubic characters

Abstract

Keywords

Save article to Kindle

Save article to Dropbox

Save article to Google Drive

Reply to: Submit a response

Your details

You have entered the maximum number of contributors

Conflicting interests