Caroline L. Turnage‐Butterbaugh

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All published works

Action	Title	Year	Authors
+ PDF Chat	Pair Correlation of Zeros of the Riemann Zeta Function I: Proportions of Simple Zeros and Critical Zeros	2025	Siegfred Baluyot D. A. Goldston Ade Irma Suriajaya Caroline L. Turnage‐Butterbaugh
+	A Mean Value Theorem for Dirichlet Polynomials Associated With Primitive Dirichlet <i>L</i>-Functions	2025	Siegfred Baluyot Caroline L. Turnage‐Butterbaugh
+ PDF Chat	An unconditional Montgomery theorem for pair correlation of zeros of the Riemann zeta-function	2024	Siegfred Baluyot D. A. Goldston Ade Irma Suriajaya Caroline L. Turnage‐Butterbaugh
+ PDF Chat	On the Montgomery–Odlyzko method regarding gaps between zeros of the zeta-function	2023	D. A. Goldston Timothy S. Trudgian Caroline L. Turnage‐Butterbaugh
+	An unconditional Montgomery Theorem for Pair Correlation of Zeros of the Riemann Zeta Function	2023	Siegfred Baluyot D. A. Goldston Ade Irma Suriajaya Caroline L. Turnage‐Butterbaugh
+	On the Montgomery-Odlyzko method regarding gaps between zeros of the zeta-function	2022	D. A. Goldston Timothy S. Trudgian Caroline L. Turnage‐Butterbaugh
+	Twisted $2k$th moments of primitive Dirichlet $L$-functions: beyond the diagonal	2022	Siegfred Baluyot Caroline L. Turnage‐Butterbaugh
+ PDF Chat	Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function	2021	Aleksander Simonič Timothy S. Trudgian Caroline L. Turnage‐Butterbaugh
+ PDF Chat	Hilbert transforms and the equidistribution of zeros of polynomials	2021	Emanuel Carneiro Mithun Kumar Das Alexandra Florea Angel Kumchev Amita Malik Micah B. Milinovich Caroline L. Turnage‐Butterbaugh Jiuya Wang
+	On a conjecture for $\ell$-torsion in class groups of number fields: from the perspective of moments	2021	Lillian B. Pierce Caroline L. Turnage‐Butterbaugh Melanie Matchett Wood
+	Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function	2020	A. Simonič T. Trudgian Caroline L. Turnage‐Butterbaugh
+ PDF Chat	An effective Chebotarev density theorem for families of number fields, with an application to $$\ell $$-torsion in class groups	2019	Lillian B. Pierce Caroline L. Turnage‐Butterbaugh Melanie Matchett Wood
+	On a conjecture for $\ell$-torsion in class groups of number fields: from the perspective of moments	2019	Lillian B. Pierce Caroline L. Turnage‐Butterbaugh Melanie Matchett Wood
+	A note on small gaps between zeros of the Riemann zeta-function	2019	D. A. Goldston Caroline L. Turnage‐Butterbaugh
+	An effective Chebotarev density theorem for families of fields, with an application to class groups	2019	Caroline L. Turnage‐Butterbaugh
+	On a conjecture for $\ell$-torsion in class groups of number fields: from the perspective of moments	2019	Lillian B. Pierce Caroline L. Turnage‐Butterbaugh Melanie Matchett Wood
+ PDF Chat	On r‐gaps between zeros of the Riemann zeta‐function	2018	J. Brian Conrey Caroline L. Turnage‐Butterbaugh
+	Extremal primes of elliptic curves without complex multiplication	2018	Chantal David Ayla Gafni Amita Malik Neha Prabhu Caroline L. Turnage‐Butterbaugh
+	An effective Chebotarev density theorem for families of number fields, with an application to $\ell$-torsion in class groups	2017	Lillian B. Pierce Caroline L. Turnage‐Butterbaugh Melanie Matchett Wood
+ PDF Chat	Benford Behavior of Generalized Zeckendorf Decompositions	2017	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	An effective Chebotarev density theorem for families of number fields, with an application to $\ell$-torsion in class groups	2017	Lillian B. Pierce Caroline L. Turnage‐Butterbaugh Melanie Matchett Wood
+ PDF Chat	GAPS BETWEEN ZEROS OF DEDEKIND ZETA-FUNCTIONS OF QUADRATIC NUMBER FIELDS. II	2016	Hung M. Bui Winston Heap Caroline L. Turnage‐Butterbaugh
+	Some Results in the Theory of Low-lying Zeros: Determining the 1-level density, identifying the group symmetry and the arithmetic of moments of Satake parameters	2016	Blake Mackall Steven J. Miller Christina Rapti Caroline L. Turnage‐Butterbaugh Karl Winsor with an appendix by Megumi Asada Eva Fourakis Steven J. Miller Kevin Yang
+	Some Results in the Theory of Low-Lying Zeros of Families of L-Functions	2016	Blake Mackall Steven J. Miller Christina Rapti Caroline L. Turnage‐Butterbaugh Karl Winsor
+	From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond	2016	Owen Barrett F.W.K. Firk Steven J. Miller Caroline L. Turnage‐Butterbaugh
+	From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond	2015	Owen Barrett F.W.K. Firk Steven J. Miller Caroline L. Turnage‐Butterbaugh
+	Gaps between zeros of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> L-functions	2015	Owen Barrett Brian McDonald Steven J. Miller Patrick J. Ryan Caroline L. Turnage‐Butterbaugh Karl Winsor
+	Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals	2015	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+ PDF Chat	Consecutive primes in tuples	2015	William D. Banks Tristan Freiberg Caroline L. Turnage‐Butterbaugh
+	Gaussian Distribution of the Number of Summands in Generalized Zeckendorf Decompositions in Small Intervals	2015	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond	2015	Owen Barrett F.W.K. Firk Steven J. Miller Caroline L. Turnage‐Butterbaugh
+	Benford Behavior of Zeckendorf Decompositions	2014	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals	2014	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	Gaps between zeros of Dedekind zeta-functions of quadratic number fields	2014	Caroline L. Turnage‐Butterbaugh
+	Moments of products of automorphic L-functions	2014	Micah B. Milinovich Caroline L. Turnage‐Butterbaugh
+	Gaussian Behavior of the Number of Summands in Zeckendorf Decompositions in Small Intervals	2014	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	Moments Of Products Of L-Functions	2014	Caroline L. Turnage‐Butterbaugh
+	Benford Behavior of Zeckendorf Decompositions	2014	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller K. Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	Benford Behavior of Generalized Zeckendorf Decompositions	2014	Andrew Best Patrick Dynes Xixi Edelsbrunner Brian McDonald Steven J. Miller Kimsy Tor Caroline L. Turnage‐Butterbaugh Madeleine Weinstein
+	Consecutive primes in tuples	2013	William D. Banks Tristan Freiberg Caroline L. Turnage‐Butterbaugh
+	Consecutive primes in tuples	2013	William D. Banks Tristan Freiberg Caroline L. Turnage‐Butterbaugh

Common Coauthors

Coauthor	Papers Together
Steven J. Miller	11
Xixi Edelsbrunner	8
Madeleine Weinstein	8
Patrick Dynes	8
Andrew Best	7
Brian McDonald	7
Kimsy Tor	7
D. A. Goldston	6
Lillian B. Pierce	6
Melanie Matchett Wood	5
Siegfred Baluyot	5
Owen Barrett	4
Karl Winsor	3
Steven J. Miller	3
Timothy S. Trudgian	3
Tristan Freiberg	3
William D. Banks	3
Ade Irma Suriajaya	3
F.W.K. Firk	3
Brian McDonald	2
Amita Malik	2
Micah B. Milinovich	2
Christina Rapti	2
Blake Mackall	2
Melanie Matchett Wood	1
Jiuya Wang	1
Andrew Best	1
Angel Kumchev	1
Emanuel Carneiro	1
Hung M. Bui	1
Patrick J. Ryan	1
T. Trudgian	1
Chantal David	1
Eva Fourakis	1
A. Simonič	1
Aleksander Simonič	1
Neha Prabhu	1
Winston Heap	1
J. Brian Conrey	1
Kevin Yang	1
Ayla Gafni	1
K. Tor	1
with an appendix by Megumi Asada	1
Alexandra Florea	1
Mithun Kumar Das	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	9
+	A Note on Gaps between Zeros of the Zeta Function	1984	J. Brian Conrey Amit Ghosh S. M. Gonek	8
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	7
+	Low-lying zeros of L-functions and random matrix theory	2001	Michael Rubinstein	7
+ PDF Chat	Integral moments of L-functions	2005	J. Brian Conrey D. W. Farmer Jonathan P. Keating MO Rubinstein N. C. Snaith	7
+	Contributions to digit expansions with respect to linear recurrences	1990	Peter J. Grabner Robert F. Tichy	6
+	On the number of summands in Zeckendorf decompositions	2010	Murat Koloğlu Gene S. Kopp Steven J. Miller Yinghui Wang	6
+	An Invitation to Modern Number Theory	2020	Steven J. Miller Ramin Takloo-Bighash	6
+	The behaviour of the Riemann zeta‐function on the critical line	1999	R. R. Hall	6
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	6
+ PDF Chat	Random Matrix Theory and ζ(1/2+ it)	2000	Jonathan P. Keating N. C. Snaith	6
+	Generalizing Zeckendorf’s Theorem: The Kentucky Sequence	2014	Minerva Catral Pari L. Ford Pamela E. Harris Steven J. Miller Dawn Nelson	6
+	Generalized Zeckendorf expansions	1994	Peter J. Grabner Robert F. Tichy István Nemes A. Pethö	6
+ PDF Chat	The distribution of the sum-of-digits function	1998	Michael Drmota Johannes Gajdosik	6
+	Corrigendum to “generalized Zeckendorf expansions”	1994	Piero Filipponi Peter J. Grabner István Nemes A. Pethö Robert F. Tichy	6
+	Generalizing Zeckendorf's Theorem to f -decompositions	2014	Philippe Demontigny Thao Do Archit Kulkarni Steven J. Miller David Moon Umang Varma	6
+	On gaps between zeros of the Riemann zeta-function	2012	Shaoji Feng Xiaosheng Wu	6
+	From Fibonacci numbers to central limit type theorems	2012	Steven J. Miller Yinghui Wang	6
+ PDF Chat	Zeroes of zeta functions and symmetry	1999	Nicholas Katz Peter Sarnak	5
+	Zeros of principal L-functions and random matrix theory	1996	Zeév Rudnick Peter Sarnak	5
+	Differences of Multiple Fibonacci Numbers	2009	Hannah Alpert	5
+	A New Unconditional Result about Large Spaces Between Zeta Zeros	2005	R. R. Hall	5
+	A note on the gaps between consecutive zeros of the Riemann zeta-function	2010	Bùi Thanh Hùng Micah B. Milinovich Nathan Ng	5
+ PDF Chat	Parry expansions of polynomial sequences	2002	Wolfgang Steiner	5
+ PDF Chat	A Generalization of Fibonacci Far-Difference Representations and Gaussian Behavior	2014	Philippe Demontigny Thao Do Archit Kulkarni Steven J. Miller Umang Varma	5
+	ON THE DISTRIBUTION OF GAPS BETWEEN ZEROS OF THE ZETA-FUNCTION	1985	J. Brian Conrey Amit Ghosh D. A. Goldston S. M. Gonek D. R. Heath‐Brown	5
+ PDF Chat	Gaussian Behavior in Generalized Zeckendorf Decompositions	2014	Steven J. Miller Yinghui Wang	5
+ PDF Chat	Bounds for the ℓ-torsion in class groups	2017	Martin Widmer	4
+ PDF Chat	Spacing of zeros of Hecke L-functions and the class number problem	2002	Brian Conrey Henryk Iwaniec	4
+	Integral points on elliptic curves and 3-torsion in class groups	2006	H. A. Helfgott Akshay Venkatesh	4
+	Low-lying zeros of families of elliptic curves	2005	Matthew P. Young	4
+	Squarefree values of polynomial discriminants I	2016	Manjul Bhargava Arul Shankar Xiaoheng Wang	4
+ PDF Chat	Gaps between zeros of the Riemann zeta-function	2017	Hung M. Bui Micah B. Milinovich	4
+	Variation in the number of points on elliptic curves and applications to excess rank	2005	Steven J. Miller	4
+ PDF Chat	Large gaps between consecutive zeros of the Riemann zeta-function	2010	Hung M. Bui	4
+	Random Matrix Theory and L-Functions at s = 1/2	2000	Jonathan P. Keating N. C. Snaith	4
+	Lower bounds for height functions	1984	Joseph H. Silverman	4
+	A note on the distribution of gaps between zeros of the Riemann zeta-function	2013	Xiaosheng Wu	4
+ PDF Chat	The density of discriminants of quartic rings and fields	2005	Manjul Bhargava	4
+	None	2005	Shou-Wu Zhang	4
+ PDF Chat	The effect of convolving families of <i>L</i> -functions on the underlying group symmetries	2009	Eduardo Duéñez Steven J. Miller	4
+	The Spectrum of Riemannium	2003	Brian Hayes	4
+ PDF Chat	The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI	2010	Eduardo Duéñez Duc Khiem Huynh Jon P Keating Steven J. Miller N. C. Snaith	4
+ PDF Chat	On the distribution of spacings between zeros of the zeta function	1987	Andrew Odlyzko	4
+	The Average Gap Distribution for Generalized Zeckendorf Decompositions	2012	Olivia Beckwith Amanda Bower Louis Gaudet Rachel Insoft Shiyu Li Steven J. Miller Philip Tosteson	4
+	Distribution of Discriminants of Abelian Extensions	1989	D. J. Wright	4
+	On the Distribution of Galois Groups	2002	Gunter Malle	4
+	On the difference between consecutive zeros of the Riemann zeta function	1982	Julia Mueller	4
+	Riemann's Zeta Function	1974	Harold M. Edwards	4
+	A hybrid Euler-Hadamard product for the Riemann zeta function	2007	S. M. Gonek C. P. Hughes Jonathan P. Keating	4