Brad Rodgers

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All published works

Action	Title	Year	Authors
+	On convergence of points to limiting processes, with an application to zeta zeros	2024	Juan Arias de Reyna Brad Rodgers
+ PDF Chat	Large prime factors of well-distributed sequences	2024	Abhishek Bharadwaj Brad Rodgers
+	Arithmetic Consequences of the GUE Conjecture for Zeta Zeros	2024	Brad Rodgers
+ PDF	Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble	2023	Brad Rodgers Harshith Sai Vallabhaneni
+	Autocorrelations of characteristic polynomials for the Alternative Circular Unitary Ensemble	2023	Brad Rodgers Harshith Sai Vallabhaneni
+	On convergence of points to limiting processes, with an application to zeta zeros	2023	Juan Arias de Reyna Brad Rodgers
+ PDF	Squarefrees are Gaussian in short intervals	2022	Ofir Gorodetsky Alexander P. Mangerel Brad Rodgers
+ PDF Chat	Sums of singular series and primes in short intervals in algebraic number fields	2022	Vivian Kuperberg Brad Rodgers Edva Roditty-Gershon
+ PDF Chat	Moments of polynomials with random multiplicative coefficients	2022	Jacques Benatar Alon Nishry Brad Rodgers
+	Averages of quadratic twists of long Dirichlet polynomials	2022	Brian Conrey Brad Rodgers
+ PDF Chat	Squarefrees are Gaussian in short intervals	2021	Ofir Gorodetsky Alexander P. Mangerel Brad Rodgers
+ PDF	On the variance of squarefree integers in short intervals and arithmetic progressions	2021	Ofir Gorodetsky Kaisa Matomäki Maksym Radziwiłł Brad Rodgers
+ PDF Chat	Band-limited mimicry of point processes by point processes supported on a lattice	2021	Jeffrey C. Lagarias Brad Rodgers
+ PDF Chat	The variance of the number of sums of two squares in [inline-graphic 01] [T] in short intervals	2021	Ofir Gorodetsky Brad Rodgers
+	Traces of powers of matrices over finite fields	2020	Ofir Gorodetsky Brad Rodgers
+ PDF	HIGHER CORRELATIONS AND THE ALTERNATIVE HYPOTHESIS	2020	Jeffrey C. Lagarias Brad Rodgers
+ PDF	THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE	2020	Brad Rodgers Terence Tao
+	Moments of polynomials with random multiplicative coefficients	2020	Jacques Benatar Alon Nishry Brad Rodgers
+	Sums of singular series and primes in short intervals in algebraic number fields	2020	Vivian Kuperberg Brad Rodgers Edva Roditty-Gershon
+	Band-limited mimicry of point processes by point processes supported on a lattice	2019	Jeffrey C. Lagarias Brad Rodgers
+ PDF Chat	The Limiting Characteristic Polynomial of Classical Random Matrix Ensembles	2019	Reda Chhaibi Emma Hovhannisyan Joseph Najnudel Ashkan Nikeghbali Brad Rodgers
+	Band-limited mimicry of point processes by point processes supported on a lattice	2019	Jeffrey C. Lagarias Brad Rodgers
+	The variance of the number of sums of two squares in $\mathbb{F}_q[T]$ in short intervals	2018	Ofir Gorodetsky Brad Rodgers
+ PDF Chat	Arithmetic functions in short intervals and the symmetric group	2018	Brad Rodgers
+	The De Bruijn-Newman constant is non-negative	2018	Brad Rodgers Terence Tao
+	On the distribution of Rudin–Shapiro polynomials and lacunary walks on SU(2)	2017	Brad Rodgers
+	A limiting characteristic polynomial of some random matrix ensembles	2017	Reda Chhaibi Emma Hovhannisyan Joseph Najnudel Ashkan Nikeghbali Brad Rodgers
+	A limiting characteristic polynomial of some random matrix ensembles	2017	Reda Chhaibi Emma Hovhannisyan Joseph Najnudel Ashkan Nikeghbali Brad Rodgers
+ PDF Chat	The variance of divisor sums in arithmetic progressions	2017	Brad Rodgers K. Soundararajan
+ PDF Chat	Tail bounds for counts of zeros and eigenvalues, and an application to ratios	2017	Brad Rodgers
+	On the distribution of Rudin-Shapiro polynomials	2016	Brad Rodgers
+ PDF Chat	Bootstrapped zero density estimates and a central limit theorem for the zeros of the zeta function	2015	Kenneth Maples Brad Rodgers
+ PDF Chat	The Covariance of Almost-Primes in 𝔽<sub><i>q</i></sub>[<i>T</i>]	2014	Brad Rodgers
+	The covariance of almost-primes in the rational function field	2013	Brad Rodgers
+ PDF Chat	A CENTRAL LIMIT THEOREM FOR THE ZEROES OF THE ZETA FUNCTION	2013	Brad Rodgers

Common Coauthors

Coauthor	Papers Together
Ofir Gorodetsky	6
Jeffrey C. Lagarias	4
Emma Hovhannisyan	3
Joseph Najnudel	3
Ashkan Nikeghbali	3
Reda Chhaibi	3
Edva Roditty-Gershon	2
Alexander P. Mangerel	2
Jacques Benatar	2
Vivian Kuperberg	2
Alon Nishry	2
Terence Tao	2
Harshith Sai Vallabhaneni	2
Juan Arias de Reyna	2
Kaisa Matomäki	1
Abhishek Bharadwaj	1
K. Soundararajan	1
Kenneth Maples	1
Maksym Radziwiłł	1
Brian Conrey	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	14
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	9
+	Zeros of Gaussian Analytic Functions and Determinantal Point Processes	2009	J. Hough Manjunath Krishnapur Yuval Peres Bálint Virág	8
+ PDF Chat	The Variance of the Number of Prime Polynomials in Short Intervals and in Residue Classes	2012	Jonathan P. Keating Zeév Rudnick	7
+	Analytic Number Theory	2004	Emmanuel Kowalski Henryk Iwaniec	7
+ PDF Chat	On the Averages of Characteristic Polynomials From Classical Groups	2006	Daniel Bump Alex Gamburd	6
+ PDF	Zeroes of zeta functions and symmetry	1999	Nicholas Michael Katz Peter Sarnak	6
+	Multiplicative Number Theory	1980	H. Davenport	6
+ PDF Chat	Band-limited mimicry of point processes by point processes supported on a lattice	2021	Jeffrey C. Lagarias Brad Rodgers	6
+	Zeros of principal L-functions and random matrix theory	1996	Zeév Rudnick Peter Sarnak	6
+ PDF	Asymptotics of Plancherel measures for symmetric groups	2000	Alexei Borodin Andreĭ Okounkov Grigori Olshanski	5
+	Linear functionals of eigenvalues of random matrices	2001	Persi Diaconis Steven N. Evans	5
+	Long mollifiers of the Riemann Zeta‐function	1993	David W. Farmer	5
+	On the pair correlation conjecture and the alternative hypothesis	2016	Siegfred Baluyot	5
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	5
+ PDF	An Introduction to Random Matrices	2009	Greg W. Anderson Alice Guionnet Ofer Zeitouni	5
+	States of classical statistical mechanical systems of infinitely many particles. II. Characterization of correlation measures	1975	Andrew Lenard	4
+ PDF	Correlations of eigenvalues and Riemann zeros	2008	J. Brian Conrey N. C. Snaith	4
+	Pair Correlation of Zeros and Primes in Short Intervals	1987	D. A. Goldston Hugh L. Montgomery	4
+ PDF	HIGHER CORRELATIONS AND THE ALTERNATIVE HYPOTHESIS	2020	Jeffrey C. Lagarias Brad Rodgers	4
+	Random Hermitian Matrices and (Nonrandom) Toeplitz Matrices	1994	Harold Widom	4
+	A Summation Formula in the Theory of Prime Numbers	1948	A. P. Guinand	4
+ PDF Chat	On the critical points of random matrix characteristic polynomials and of the Riemann ξ-function	2017	Sasha Sodin	4
+	A Note on Gaps between Zeros of the Zeta Function	1984	J. Brian Conrey Amit Ghosh S. M. Gonek	4
+	THE DISTRIBUTION OF PRIME NUMBERS	2007	K. Soundararajan	4
+	Arithmetic Consequences of the GUE Conjecture for Zeta Zeros	2024	Brad Rodgers	4
+ PDF	Non-intersecting paths, random tilings and random matrices	2002	Kurt Johansson	4
+ PDF	On the distribution of spacings between zeros of the zeta function	1987	Andrew Odlyzko	4
+	Multiplicative Number Theory I	2006	Hugh L. Montgomery Robert C. Vaughan	4
+ PDF Chat	Sums of divisor functions in $$\mathbb {F}_q[t]$$ F q [ t ] and matrix integrals	2017	Jonathan P. Keating Brian Rodgers Edva Roditty-Gershon Zeév Rudnick	3
+ PDF Chat	Primes in Short Intervals	2004	Hugh L. Montgomery K. Soundararajan	3
+ PDF Chat	LOWER BOUNDS FOR THE VARIANCE OF SEQUENCES IN ARITHMETIC PROGRESSIONS: PRIMES AND DIVISOR FUNCTIONS	2016	Adam J. Harper K. Soundararajan	3
+ PDF Chat	Determinantal random point fields	2000	Alexander Soshnikov	3
+	Enumerative Combinatorics	1999	Richard P. Stanley Sergey Fomin	3
+	Applications of the L-functions ratios conjectures	2005	J. Brian Conrey N. C. Snaith	3
+	Explicit Formulas and Oscillations	1999	Akio Fujii	3
+	Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse	2013	Bernhard Riemann	3
+ PDF Chat	Major arcs and moments of arithmetical sequences	2020	Régis de la Bretèche Daniel Fiorilli	3
+	On the variance of sums of divisor functions in short intervals	2015	Stephen Lester	3
+ PDF	Moments of the Riemann zeta function	2009	K. Soundararajan	3
+	On the distribution of primes in short intervals	1976	P. X. Gallagher	3
+ PDF Chat	Pair correlation of the zeros of the derivative of the Riemann <i>ξ</i> -function	2014	David W. Farmer S. M. Gonek Yoonbok Lee	3
+	On the eigenvalues of random matrices	1994	Persi Diaconis Mehrdad Shahshahani	3
+	Giambelli compatible point processes	2006	Alexei Borodin Grigori Olshanski Eugene Strahov	3
+ PDF	Random Matrices, Frobenius Eigenvalues, and Monodromy	1998	Nicholas M. Katz Peter Sarnak	3
+	The variance of the number of prime polynomials in short intervals and in residue classes	2012	Jonathan P. Keating Zeév Rudnick	3
+ PDF	Squarefree polynomials and Möbius values in short intervals and arithmetic progressions	2016	Jonathan P. Keating Zeév Rudnick	3
+ PDF	Witt Vectors and a Question of Keating and Rudnick	2012	Nicholas M. Katz	3
+	None	2005	J. Brian Conrey Pj Forrester N. C. Snaith	3
+	On the Zeros of Dirichlet L-Functions.II (With Corrections to Ön the Zeros of Dirichlet L-Functions.I" and the Subsequent Papers)	1981	Akio Fujii	3