Caroline Turnage-Butterbaugh

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

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)

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, Turnage-Butterbaugh, C, and Weinstein, M. "Benford behavior of Zeckendorf decompositions." Fibonacci Quarterly 52.5 (2014): 35-46.

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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