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The twisted tensor L-function of GSp(4)

Young, Justin N.
http://rave.ohiolink.edu/etdc/view?acc_num=osu1244049123

Abstract Details

2009, Doctor of Philosophy, Ohio State University, Mathematics.
We construct an integral representation for the twisted tensor L-function of a globally generic cuspidal automorphic representation of GSp(4) over a number field. We prove that the integral is Eulerian, i.e., has an infinite product expansion. We compute the unramified integrals and show by way of a branching result (from GL(4) to Sp(4)) that these integrals calculate the correct local L-factor. This gives a new proof of the analogous identity in D. Jiang's thesis. Finally, we show all the local integrals are absolutely convergent in a right half-plane and that they are non-vanishing for appropriate choice of data. We close with some remarks about poles of our global integral and possible future applications to period integrals and quadratic base change for GSp(4).
Stephen Rallis, PhD (Advisor)
James Cogdell, PhD (Committee Member)
Cary Rader, PhD (Committee Member)
131 p.
Mathematics
automorphic forms; L-functions; GSp(4); integral representations; Rankin-Selberg

Recommended Citations

Citations

  • Young, J. N. (2009). The twisted tensor L-function of GSp(4) [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1244049123

    APA Style (7th edition)

  • Young, Justin. The twisted tensor L-function of GSp(4). 2009. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1244049123.

    MLA Style (8th edition)

  • Young, Justin. "The twisted tensor L-function of GSp(4)." Doctoral dissertation, Ohio State University, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=osu1244049123

    Chicago Manual of Style (17th edition)

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© 2009, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.