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On the degree 5 L-function for GSp(4)

File, Daniel Whitman
http://rave.ohiolink.edu/etdc/view?acc_num=osu1279567891

Abstract Details

2010, Doctor of Philosophy, Ohio State University, Mathematics.
In this dissertation I establish a new integral representation for the degree five L-function for the group GSp4. Let F be a number field and π an automorphic represenation of GSp4(𝔸F). Suppose there is an automorphic form φ ∈ Vπ that has a non-zero Bessel coefficient corresponding to an anisotropic binary quadratic form over F. Such coefficients generate a unique model for the representation. Then the integral computes the partial L-function for π.
James Cogdell, PhD (Advisor)
Luo Wenzhi, PhD (Committee Member)
Stanton Robert, PhD (Committee Member)
90 p.
Mathematics
automorphic forms; representation theory; number theory

Recommended Citations

Citations

  • File, D. W. (2010). On the degree 5 L-function for GSp(4) [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1279567891

    APA Style (7th edition)

  • File, Daniel. On the degree 5 L-function for GSp(4). 2010. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1279567891.

    MLA Style (8th edition)

  • File, Daniel. "On the degree 5 L-function for GSp(4)." Doctoral dissertation, Ohio State University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=osu1279567891

    Chicago Manual of Style (17th edition)

osu1279567891
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