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Moments of automorphic L-functions at special points

Beckwith, Alexander Lu
http://rave.ohiolink.edu/etdc/view?acc_num=osu1587670557729195

Abstract Details

2020, Doctor of Philosophy, Ohio State University, Mathematics.
We study the behavior of families of L-functions at exhibiting conductor-dropping behavior. We will derive asymptotic expansions of the short interval first and second moments of GL(2)xGL(2) L-functions at special points with power-saving error terms. As a consequence, we show that large number of cusp forms for Hecke congruence surfaces of prime level are simultaneously destroyed in two directions of the associated Teichmuller space. We also establish upper bounds for the second moment of GL(2)xGL(3) L-functions and the sixth moment of GL(2) L-functions at special points as the spectral parameter varies in a short interval.
Wenzhi Luo (Advisor)
James Cogdell (Committee Member)
Roman Holowinsky (Committee Member)
185 p.
Mathematics
automorphic L-functions; conductor-dropping; moments of automorphic L-functions; automorphic L-functions at special points; deformations of discrete groups

Recommended Citations

Citations

  • Beckwith, A. L. (2020). Moments of automorphic L-functions at special points [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1587670557729195

    APA Style (7th edition)

  • Beckwith, Alexander. Moments of automorphic L-functions at special points. 2020. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1587670557729195.

    MLA Style (8th edition)

  • Beckwith, Alexander. "Moments of automorphic L-functions at special points." Doctoral dissertation, Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1587670557729195

    Chicago Manual of Style (17th edition)

osu1587670557729195
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This open access ETD is published by The Ohio State University and OhioLINK.