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On zeros of cubic L-functions
Xia, Honggang

2006, Doctor of Philosophy, Ohio State University, Mathematics.
We study the distribution of zeros of cubic L-functions and obtain a zero density theorem by large sieve method. Estimation on the moments of corresponding L-functions and class numbers of a certain type of number fields are followed as applications of the density theorem. Main tools are Heath-Brown's large sieve type inequality on cubic characters and Patterson's work on cubic Gauss sums.
Wenzhi Luo (Advisor)

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Xia, H. (2006). On zeros of cubic L-functions. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Xia, Honggang. "On zeros of cubic L-functions." Electronic Thesis or Dissertation. Ohio State University, 2006. OhioLINK Electronic Theses and Dissertations Center. 29 Jun 2015.

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Xia, Honggang "On zeros of cubic L-functions." Electronic Thesis or Dissertation. Ohio State University, 2006. https://etd.ohiolink.edu/

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