Skip to Main Content
 

Global Search Box

 
 
 

ETD Abstract Container

Abstract Header

On the nonvanishing of central L-values associated to Hecke eigenforms

Fotis, Sam Joseph
http://rave.ohiolink.edu/etdc/view?acc_num=osu1405009023

Abstract Details

2014, Doctor of Philosophy, Ohio State University, Mathematics.
In this dissertation we establish new asymptotic formulas for moments of central L-values associated to Hecke eigenforms in the weight aspect. To do this we exploit the Shimura correspondence between integral weight and half integral Hecke eigenforms. Our work is based upon Kohnen's explicit isomorphism and Waldspurger's identity between the space of modular forms of weight k level 1 and a subspace (often refered to as Kohnen's space) of the cusp forms of weight k +1/2 and level 4.
Wenzhi Luo (Advisor)
Robert Stanton (Committee Member)
Warren Sinnott (Committee Member)
74 p.
Mathematics
half-integral weight, shimura correspondence, Hecke eigenform

Recommended Citations

Citations

  • Fotis, S. J. (2014). On the nonvanishing of central L-values associated to Hecke eigenforms [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1405009023

    APA Style (7th edition)

  • Fotis, Sam. On the nonvanishing of central L-values associated to Hecke eigenforms. 2014. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1405009023.

    MLA Style (8th edition)

  • Fotis, Sam. "On the nonvanishing of central L-values associated to Hecke eigenforms." Doctoral dissertation, Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1405009023

    Chicago Manual of Style (17th edition)

osu1405009023
480
© 2014, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.