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On the nonvanishing of central L-values associated to Hecke eigenforms
Fotis, Sam Joseph

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.

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Fotis, S. (2014). On the nonvanishing of central L-values associated to Hecke eigenforms. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Fotis, Sam. "On the nonvanishing of central L-values associated to Hecke eigenforms." Electronic Thesis or Dissertation. Ohio State University, 2014. OhioLINK Electronic Theses and Dissertations Center. 21 Sep 2017.

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Fotis, Sam "On the nonvanishing of central L-values associated to Hecke eigenforms." Electronic Thesis or Dissertation. Ohio State University, 2014. https://etd.ohiolink.edu/

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