Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


thesis.pdf (674.27 KB)

ETD Abstract Container

Abstract Header

Properties of SU(2, 1) Hecke-Maass cusp forms and Eisenstein series

Nowland, Kevin John
http://orcid.org/0000-0002-1029-2372
http://rave.ohiolink.edu/etdc/view?acc_num=osu1543417235410827

Abstract Details

2018, Doctor of Philosophy, Ohio State University, Mathematics.
We calculate the L-function for Hecke-Maass cusp forms on SU (2, 1) by calculating a Shimura integral. Toward this end, we provide a new version of the Fourier expansion of Hecke-Maass forms which takes into account the arithmetic structure of the coefficients coming from Hecke operators. We also prove the functional equation for the Eisenstein series as it was conjectured by Bao et al.
Roman Holowinsky (Advisor)
James Cogdell (Committee Member)
Ghaith Hiary (Committee Member)
150 p.
Mathematics
analytic number theory; unitary groups; Eisenstein series; Hecke-Maass forms; Maass forms; cusp forms; functional equation

Recommended Citations

Citations

  • Nowland, K. J. (2018). Properties of SU(2, 1) Hecke-Maass cusp forms and Eisenstein series [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1543417235410827

    APA Style (7th edition)

  • Nowland, Kevin. Properties of SU(2, 1) Hecke-Maass cusp forms and Eisenstein series. 2018. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1543417235410827.

    MLA Style (8th edition)

  • Nowland, Kevin. "Properties of SU(2, 1) Hecke-Maass cusp forms and Eisenstein series." Doctoral dissertation, Ohio State University, 2018. http://rave.ohiolink.edu/etdc/view?acc_num=osu1543417235410827

    Chicago Manual of Style (17th edition)

osu1543417235410827
448
© 2018, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.