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The Computation of the Local Exterior Square L-function for GL_m via Bernstein-Zelevinsky Derivatives

Jo, Yeongseong
http://orcid.org/0000-0001-5546-8370
http://rave.ohiolink.edu/etdc/view?acc_num=osu1523054576473626

Abstract Details

2018, Doctor of Philosophy, Ohio State University, Mathematics.
In this dissertation, we follow the method developed by Cogdell and Piatetski-Shapiro to complete the computation of the local exterior square L-function of an irreducible admissible representation of GL_m over a nonarchimedean local field of characteristic zero in terms of L-functions of supercuspidal representations via an integral representation of Jacquet and Shalika. We analyze the local exterior square L-functions via exceptional poles and Bernstein and Zelevinsky derivatives.
James Cogdell (Advisor)
Roman Holowinsky (Committee Member)
Wenzhi Luo (Committee Member)
Cynthia Clopper (Committee Member)
189 p.
Mathematics
Cogdell and Piatetski-Shapiro; Bernstein-Zelevinsky Derivatives; mathematics

Recommended Citations

Citations

  • Jo, Y. (2018). The Computation of the Local Exterior Square L-function for GL_m via Bernstein-Zelevinsky Derivatives [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1523054576473626

    APA Style (7th edition)

  • Jo, Yeongseong. The Computation of the Local Exterior Square L-function for GL_m via Bernstein-Zelevinsky Derivatives. 2018. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1523054576473626.

    MLA Style (8th edition)

  • Jo, Yeongseong. "The Computation of the Local Exterior Square L-function for GL_m via Bernstein-Zelevinsky Derivatives." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1523054576473626

    Chicago Manual of Style (17th edition)

osu1523054576473626
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