Publications Nathan C. Ryan Department of
Mathematics |
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Peer-Reviewed Papers
- Testing the functional equation of high-degree Euler products (joint with David Farmer and Ralf Schmidt). Pac J Math 253-2 (2011), 349--366.
- Some conjectures on the maximal height of divisors of $x^n-1$ (joint with Bucknell undergraduates Bryan Ward and Ryan Ward). Involve 3 (2010), no. 4, 451--457.
- A Böcherer-Type Conjecture for Paramodular Forms (joint with Gonzalo Tornaría). Int J Number Theory 7 (2011), no. 5, 1395--1411.
- Lifting Puzzles in Degree 4 (joint with Cris Poor and David Yuen). Bull Aust Math Soc 80 (2009), no. 1, 65--82.
- Inverting the Satake Map for Sp_n and Applications to Hecke Operators (joint with Tom Shemanske). Ramanujan J 17 (2008), no. 2, 219--244.
- Computational Complexity of Tunnell's Criterion (joint with Eric Bach). Japan J Indust Appl Math 24 (2007), no. 3, 229--239.
- The maximal height of divisors of x^n-1 (joint with Carl Pomerance). Illinois J Math 51 (2007), no. 2, 597--604.
Contributed Papers
- Siegel Modular Forms in Sage, ACM Commun. Comput. Algebra 168 (2009), no. 2, 53--54.
Software Written
- Contributed data and code to The L-functions and Modular Forms Database.
- Sage package to computes of Jacobi modular forms (joint with Nils-Peter Skoruppa and Gonzalo Tornaría).
- Sage package to compute spaces of Siegel modular forms (joint with Martin Raum, Nils-Peter Skoruppa, Gonzalo Tornaría).