- William W. Elliott Assistant Research Professor
- Assistant Research Professor of Mathematics
Research Areas and Keywords
Re:boot Number Theory awarded by National Security Agency (Co-Principal Investigator). 2016 to 2018
Fellowships, Supported Research, & Other Grants
Mackall, B, Miller, SJ, Rapti, C, Turnage-Butterbaugh, C, and Winsor, K. "Some Results in the Theory of Low-lying Zeros." Families of Automorphic Forms and the Trace Formula. Springer, September 20, 2016. (Chapter)
Barrett, O, Firk, F, Miller, SJ, and Turnage-Butterbaugh, C. "From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond." Open Problems in Mathematics. Springer, August 6, 2016. 123-171. (Chapter)
Edelsbrunner, X, Huan, K, Mackall, B, Powell, J, Turnage-Butterbaugh, C, and Weinstein, M. "Benfordness of the Cauchy Distribution and Generalizations." Benford's Law Theory and Applications. Princeton University Press, June 9, 2015. (Appendix)
Conrey, JB, and Turnage-Butterbaugh, CL. "On r-gaps between zeros of the Riemann zeta-function (Accepted)." Bulletin of the London Mathematical Society (January 1, 2018). Full Text Open Access Copy
Pierce, LB, Turnage-Butterbaugh, CL, and Wood, MM. "An effective Chebotarev density theorem for families of number fields, with an application to $\ell$-torsion in class groups." (submitted) (2017). Open Access Copy
Best, A, Dynes, P, Edlesbrunner, X, McDonald, B, Miller, SJ, Turnage-Butterbaugh, C, and Weinstein, M. "Benford behavior of generalized Zeckendorf decompositions." Combinatorial and Additive Number Theory II: CANT, New York, NY, USA 2015 and 2016 (2017).
Bui, HM, Heap, WP, and Turnage-Butterbaugh, CL. "GAPS BETWEEN ZEROS OF DEDEKIND ZETA-FUNCTIONS OF QUADRATIC NUMBER FIELDS. II." The Quarterly Journal of Mathematics 67.3 (September 1, 2016): 467-482. Full Text
Best, A, Dynes, P, Edelsbrunner, X, McDonald, B, Miller, SJ, Tor, K, Turnage-Butterbaugh, C, and Weinstein, M. "Gaussian distribution of the number of summands in generalized Zeckendorf decomposition in small intervals." Integers 16 (2016).
Barrett, O, McDonald, B, Miller, SJ, Ryan, P, Turnage-Butterbaugh, CL, and Winsor, K. "Gaps between zeros of GL(2) L-functions." Journal of Mathematical Analysis and Applications 429.1 (September 2015): 204-232. Full Text
Turnage-Butterbaugh, CL. "Gaps between zeros of Dedekind zeta-functions of quadratic number fields." Journal of Mathematical Analysis and Applications 418.1 (October 2014): 100-107. Full Text
Best, A, Dynes, P, Edelsbrunner, X, McDonald, B, Miller, SJ, Tor, K, Turnage-Butterbaugh, C, and Weinstein, M. "Benford behavior of Zeckendorf decompositions." Fibonacci Quarterly 52.5 (2014): 35-46.