## Research Interests for Caroline Turnage-Butterbaugh

**Research Interests:** *analytic number theory*
**Keywords:**
- Riemann zeta-function, automorphic L-functions, distribution of primes

**Recent Publications**
- Pierce, LB; Turnage-Butterbaugh, CL; Wood, MM,
*An effective Chebotarev density theorem for families of number fields,
with an application to $\ell$-torsion in class groups*,
(submitted)
(September, 2017) [abs]
- Mackall, B; Miller, SJ; Rapti, C; Turnage-Butterbaugh, C; Winsor, K,
*Some Results in the Theory of Low-lying Zeros*,
in Families of Automorphic Forms and the Trace Formula
(September, 2016), Springer, ISBN 3319414240 [abs]
- Bui, HM; Heap, WP; Turnage-Butterbaugh, CL,
*GAPS BETWEEN ZEROS OF DEDEKIND ZETA-FUNCTIONS OF QUADRATIC NUMBER FIELDS. II*,
Quarterly Journal of Mathematics, vol. 67 no. 3
(September, 2016),
pp. 467-482 [doi]
- Barrett, O; Firk, F; Miller, SJ; Turnage-Butterbaugh, C,
*From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond*,
in Open Problems in Mathematics, edited by John Nash Jr., Michael Th. Rassias
(August, 2016),
pp. 123-171, Springer, ISBN 3319321625 [arXiv:1505.07481]
- Best, A; Dynes, P; Edelsbrunner, X; McDonald, B; Miller, SJ; Tor, K; Turnage-Butterbaugh, C; Weinstein, M,
*Gaussian distribution of the number of summands in generalized Zeckendorf decomposition in small intervals*,
Integers, vol. 16
(2016),
pp. 13 pages