Caroline Turnage-Butterbaugh

Caroline Turnage-Butterbaugh
  • William W. Elliott Assistant Research Professor
  • Assistant Research Professor of Mathematics

Research Areas and Keywords

Number Theory
multiplicative number theory, Riemann zeta-function, L-functions, distribution of primes
Education & Training
  • Ph.D., University of Mississippi 2014

Selected Grants

Re:boot Number Theory awarded by National Security Agency (Co-Principal Investigator). 2016 to 2018

Fellowships, Supported Research, & Other Grants

Visiting scientist awarded by Max Planck Institute of Mathematics (2018)

Mathematics travel grant awarded by AWM/NSF (2014)

Summer Research Grant awarded by GAANN (2013)

Summer Research Grant awarded by GAANN (2012)

Summer Research Grant awarded by GAANN (2010)

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

Best, A, Dynes, P, Edelsbrunner, X, McDonald, B, Miller, SJ, Tor, K, Turnage-Butterbaugh, C, and Weinstein, M. "Benford Behavior of Generalized Zeckendorf Decompositions." Springer Proceedings in Mathematics and Statistics 220 (January 1, 2017): 25-37. Full Text

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

Banks, WD, Freiberg, T, and Turnage-Butterbaugh, CL. "Consecutive primes in tuples." Acta Arithmetica 167.3 (2015): 261-266. 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

Milinovich, MB, and Turnage-Butterbaugh, CL. "Moments of products of automorphic L-functions." Journal of Number Theory 139 (June 2014): 175-204. Full Text

Best, A, Dynes, P, Edelsbrunner, X, McDonald, B, Miller, SJ, Tor, K, Weinstein, M, and Turnage-Butterbaugh, C. "Gaussian behavior of the number of summands in Zeckendorf decompositions in small intervals." Fibonacci Quarterly 52.5 (2014): 47-53.

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