Arithmetic Relations Between Fourier Coefficients of Siegel Paramodular Forms
Reiss, Daniel Arthur. (2019-08). Arithmetic Relations Between Fourier Coefficients of Siegel Paramodular Forms. Theses and Dissertations Collection, University of Idaho Library Digital Collections. https://www.lib.uidaho.edu/digital/etd/items/reiss_idaho_0089e_11650.html
- Title:
- Arithmetic Relations Between Fourier Coefficients of Siegel Paramodular Forms
- Author:
- Reiss, Daniel Arthur
- Date:
- 2019-08
- Program:
- Mathematics
- Subject Category:
- Mathematics
- Abstract:
-
This dissertation presents fundamental relations satisfied by the Fourier coefficients of a Siegel paramodular form F: ℋ2→ℂ which is an eigenform for the paramodular Hecke operators at primes which do not divide the level of the Siegel paramodular form. We exhibit relations between coefficients indexed by positive-definite, primitive, integral binary quadratic forms of discriminant d f^2 where d<0 is a fundamental discriminant and f is a positive integer.
- Description:
- doctoral, Ph.D., Mathematics -- University of Idaho - College of Graduate Studies, 2019-08
- Major Professor:
- Johnson-Leung, Jennifer
- Committee:
- Roberts, Brooks; Abo, Hirotachi; Machleidt, Ruprecht
- Defense Date:
- 2019-08
- Identifier:
- Reiss_idaho_0089E_11650
- Type:
- Text
- Format Original:
- Format:
- application/pdf
- Rights:
- In Copyright - Educational Use Permitted. For more information, please contact University of Idaho Library Special Collections and Archives Department at libspec@uidaho.edu.
- Standardized Rights:
- http://rightsstatements.org/vocab/InC-EDU/1.0/