Search ETDs:
The twisted tensor L-function of GSp(4)
Young, Justin N.

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.

Recommended Citations

Hide/Show APA Citation

Young, J. (2009). The twisted tensor L-function of GSp(4). (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

Hide/Show MLA Citation

Young, Justin. "The twisted tensor L-function of GSp(4)." Electronic Thesis or Dissertation. Ohio State University, 2009. OhioLINK Electronic Theses and Dissertations Center. 26 Sep 2017.

Hide/Show Chicago Citation

Young, Justin "The twisted tensor L-function of GSp(4)." Electronic Thesis or Dissertation. Ohio State University, 2009. https://etd.ohiolink.edu/

Files

osu1244049123.pdf (553.17 KB) View|Download