Micah B. Milinovich

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All published works

Action	Title	Year	Authors
+ PDF Chat	Negative discrete moments of the derivative of the Riemann zeta‐function	2024	Hung M. Bui Alexandra Florea Micah B. Milinovich
+ PDF Chat	Fourier optimization and Montgomery’s pair correlation conjecture	2024	Emanuel Carneiro Micah B. Milinovich Antonio Pedro Ramos
+ PDF Chat	Fourier optimization, the least quadratic non-residue, and the least prime in an arithmetic progression	2024	Emanuel Carneiro Micah B. Milinovich Oscar E. Quesada-Herrera Antonio Pedro Ramos
+ PDF Chat	On Littlewood's estimate for the modulus of the zeta function on the critical line	2024	Emanuel Carneiro Micah B. Milinovich
+ PDF Chat	On the number variance of zeta zeros and a conjecture of Berry	2023	Meghann Moriah Lugar Micah B. Milinovich Oscar E. Quesada-Herrera
+ PDF Chat	Small gaps and small spacings between zeta zeros	2023	Hung M. Bui D. A. Goldston Micah B. Milinovich Hugh L. Montgomery
+	Fourier optimization and Montgomery's pair correlation conjecture	2023	Emanuel Carneiro Micah B. Milinovich Antonio Pedro Ramos
+	Negative discrete moments of the derivative of the Riemann zeta-function	2023	Hung M. Bui Alexandra Florea Micah B. Milinovich
+ PDF Chat	Hilbert spaces and low-lying zeros of L-functions	2022	Emanuel Carneiro Andrés Chirre Micah B. Milinovich
+ PDF Chat	On Montgomery’s pair correlation conjecture: A tale of three integrals	2022	Emanuel Carneiro Vorrapan Chandee Andrés Chirre Micah B. Milinovich
+	Small gaps and small spacings between zeta zeros	2022	Hung M. Bui D. A. Goldston Micah B. Milinovich Hugh L. Montgomery
+	On the number variance of zeta zeros and a conjecture of Berry	2022	Meghann Moriah Lugar Micah B. Milinovich Oscar E. Quesada-Herrera
+ PDF Chat	A weighted version of the Erdős–Kac theorem	2021	Rizwanur Khan Micah B. Milinovich Unique Subedi
+	On Montgomery's pair correlation conjecture: a tale of three integrals	2021	Emanuel Carneiro Vorrapan Chandee Andrés Chirre Micah B. Milinovich
+ 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
+	Hilbert spaces and low-lying zeros of L-functions	2021	Emanuel Carneiro Andrés Chirre Micah B. Milinovich
+ PDF Chat	Motohashi’s fourth moment identity for non-archimedean test functions and applications	2020	Valentin Blomer Peter Humphries Rizwanur Khan Micah B. Milinovich
+ PDF Chat	Fourier optimization and prime gaps	2019	Emanuel Carneiro Micah B. Milinovich K. Soundararajan
+ PDF Chat	Bandlimited approximations and estimates for the Riemann zeta-function	2019	Emanuel Carneiro Andrés Chirre Micah B. Milinovich
+ PDF Chat	Euler’s formula for the zeta function at the positive even integers	2019	Samyukta Krishnamurthy Micah B. Milinovich
+ PDF Chat	QUANTITATIVE ESTIMATES FOR SIMPLE ZEROS OF ‐FUNCTIONS	2019	Andrew R. Booker Micah B. Milinovich Nathan Ng
+	Subconvexity for modular form L-functions in the t aspect	2018	Andrew R. Booker Micah B. Milinovich Nathan Ng
+	A note on the least prime that splits completely in a nonabelian Galois number field	2018	Zhenchao Ge Micah B. Milinovich Paul Pollack
+	Bandlimited approximations and estimates for the Riemann zeta-function	2017	Emanuel Carneiro Andrés Chirre Micah B. Milinovich
+ PDF Chat	Gaps between zeros of the Riemann zeta-function	2017	Hung M. Bui Micah B. Milinovich
+ PDF Chat	A note on the zeros of zeta and L-functions	2015	Emanuel Carneiro Vorrapan Chandee Micah B. Milinovich
+	A note on the zeros of zeta and $L$-functions	2015	Emanuel Carneiro Vorrapan Chandee Micah B. Milinovich
+ PDF Chat	Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function	2014	Emanuel Carneiro Vorrapan Chandee Friedrich Littmann Micah B. Milinovich
+ PDF Chat	Simple zeros of modular <i>L</i> -functions	2014	Micah B. Milinovich Nathan Ng
+	Moments of products of automorphic L-functions	2014	Micah B. Milinovich Caroline L. Turnage‐Butterbaugh
+	Gaps between zeros of the Riemann zeta-function	2014	Hung M. Bui Micah B. Milinovich
+ PDF Chat	A hybrid Euler–Hadamard product and moments of ζ'(ρ)	2013	Hung M. Bui S. M. Gonek Micah B. Milinovich
+	On Balazard, Saias, and Yor’s equivalence to the Riemann Hypothesis	2013	Hung M. Bui Stephen Lester Micah B. Milinovich
+	Lower Bounds for Moments of ζ′(ρ)	2013	Micah B. Milinovich Nathan Ng
+	A hybrid Euler-Hadamard product and moments of \zeta'(\rho)	2013	Hung M. Bui S. M. Gonek Micah B. Milinovich
+	A hybrid Euler-Hadamard product and moments of ζ'(ρ)	2013	Hung M. Bui S. M. Gonek Micah B. Milinovich
+ PDF Chat	Bounding $$S(t)$$ and $$S_1(t)$$ on the Riemann hypothesis	2012	Emanuel Carneiro Vorrapan Chandee Micah B. Milinovich
+ PDF Chat	A note on a conjecture of Gonek	2012	Micah B. Milinovich Nathan Ng
+ PDF Chat	A note on simple $a$-points of $L$-functions	2012	S. M. Gonek Stephen Lester Micah B. Milinovich
+ PDF Chat	Moments of the Riemann zeta-function at its relative extrema on the critical line	2011	Micah B. Milinovich
+ PDF Chat	CENTRAL VALUES OF DERIVATIVES OF DIRICHLET L-FUNCTIONS	2011	Hung M. Bui Micah B. Milinovich
+	A note on the gaps between consecutive zeros of the Riemann zeta-function	2010	Bùi Thanh Hùng Micah B. Milinovich Nathan Ng
+ PDF Chat	Upper bounds for moments of ζ′(<i>ρ</i> )	2009	Micah B. Milinovich
+	Mean-Value Estimates for the Derivative of the Riemann Zeta-Function	2008	Micah B. Milinovich
+	Lower bounds for moments of zeta prime rho	2007	Micah B. Milinovich Nathan Ng

Common Coauthors

Coauthor	Papers Together
Emanuel Carneiro	16
Hung M. Bui	11
Nathan Ng	7
Vorrapan Chandee	6
Andrés Chirre	6
S. M. Gonek	4
Alexandra Florea	3
Antonio Pedro Ramos	3
Oscar E. Quesada-Herrera	3
Hugh L. Montgomery	2
Meghann Moriah Lugar	2
D. A. Goldston	2
Stephen Lester	2
Caroline L. Turnage‐Butterbaugh	2
Andrew R. Booker	2
Rizwanur Khan	2
K. Soundararajan	1
Valentin Blomer	1
Amita Malik	1
Angel Kumchev	1
Zhenchao Ge	1
Friedrich Littmann	1
Unique Subedi	1
Paul Pollack	1
Jiuya Wang	1
Bùi Thanh Hùng	1
Mithun Kumar Das	1
Samyukta Krishnamurthy	1
Peter Humphries	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Some extremal functions in Fourier analysis	1985	Jeffrey D. Vaaler	11
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	10
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	10
+ PDF Chat	Upper bounds for moments of ζ′(<i>ρ</i> )	2009	Micah B. Milinovich	8
+	Mean values of the Riemann zeta-function and its derivatives	1984	S. M. Gonek	8
+	Hilbert's Inequality	1974	Hugh L. Montgomery R. C. Vaughan	8
+	Random matrix theory and the derivative of the Riemann zeta function	2000	C. P. Hughes Jonathan P. Keating Neil 'Connell	8
+	On Negative Moments of the Riemann Zeta‐Function	1989	S. M. Gonek	8
+ PDF Chat	Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function	2014	Emanuel Carneiro Vorrapan Chandee Friedrich Littmann Micah B. Milinovich	8
+ PDF Chat	A note on S(<i>t</i> ) and the zeros of the Riemann zeta-function	2007	D. A. Goldston S. M. Gonek	7
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	7
+ PDF Chat	Moments of the Riemann zeta function	2009	K. Soundararajan	7
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	7
+	On the zeros of the Riemann zeta-function	1924	J. E. Littlewood	7
+ PDF Chat	Gaussian subordination for the Beurling-Selberg extremal problem	2013	Emanuel Carneiro Friedrich Littmann Jeffrey D. Vaaler	6
+	A note on the gaps between consecutive zeros of the Riemann zeta-function	2010	Bùi Thanh Hùng Micah B. Milinovich Nathan Ng	6
+ PDF Chat	Lower bounds for moments of <i>L</i> -functions	2005	Zeév Rudnick K. Soundararajan	6
+	Pair Correlation of Zeros and Primes in Short Intervals	1987	D. A. Goldston Hugh L. Montgomery	6
+ PDF Chat	Bandlimited Approximations to the Truncated Gaussian and Applications	2013	Emanuel Carneiro Friedrich Littmann	6
+	A Note on Gaps between Zeros of the Zeta Function	1984	J. Brian Conrey Amit Ghosh S. M. Gonek	6
+	The Beurling-Selberg extremal functions for a ball in Euclidean space	1996	Jeffrey J. Holt Jeffrey D. Vaaler	5
+ PDF Chat	Some Ω-theorems for the Riemann zeta-function	1986	Kai-Man Tsang	5
+	The fourth moment of ζ′(ρ)	2004	Nathan Ng	5
+ PDF Chat	Low lying zeros of families of L-functions	2000	Henryk Iwaniec Wenzhi Luo Peter Sarnak	5
+ PDF Chat	Random Matrix Theory and ζ(1/2+ it)	2000	Jonathan P. Keating N. C. Snaith	5
+ PDF Chat	Applications of the<i>L</i>-functions ratios conjectures	2007	J. Brian Conrey N. C. Snaith	5
+ PDF Chat	Bounding \|ζ(½+<i>it</i> )\| on the Riemann hypothesis	2010	Vorrapan Chandee K. Soundararajan	5
+	More than two fifths of the zeros of the Riemann zeta function are on the critical line.	1989	J. Brian Conrey	5
+	Simple Zeros of the Riemann Zeta-Function	1998	JB Conrey Amit Ghosh S. M. Gonek	5
+	An explicit formula of Landau and its applications to the theory of the zeta-function	1993	S. M. Gonek	5
+	On the function S(T) in the theory of the Riemann zeta-function	1987	D. A. Goldston	4
+	Extremal functions in de Branges and Euclidean spaces	2014	Emanuel Carneiro Friedrich Littmann	4
+	Quadrature and Extremal Bandlimited Functions	2013	Friedrich Littmann	4
+	On the Distribution of log∣ζ′(1/2+ it)∣	1989	Dennis A. Hejhal	4
+ PDF Chat	Bounding $$S(t)$$ and $$S_1(t)$$ on the Riemann hypothesis	2012	Emanuel Carneiro Vorrapan Chandee Micah B. Milinovich	4
+ PDF Chat	More than 41% of the zeros of the zeta function are on the critical line	2011	Hung M. Bui Brian Conrey Matthew P. Young	4
+	Zeros of principal L-functions and random matrix theory	1996	Zeév Rudnick Peter Sarnak	4
+ PDF Chat	A VARIATION ON SELBERG'S APPROXIMATION PROBLEM	2014	Michael R. Kelly	4
+	On the pair correlation conjecture for zeros of the Riemann zeta-function.	1988	D. A. Goldston	4
+	Mean values of the logarithmic derivative of the Riemann zeta-function with applications to primes in short intervals	2001	D. A. Goldston S. M. Gonek Hugh L. Montgomery	4
+	Mean-Value Estimates for the Derivative of the Riemann Zeta-Function	2008	Micah B. Milinovich	4
+	MULTIPLICATIVE NUMBER THEORY	1970	Enrico Bombieri	4
+	On gaps between zeros of the Riemann zeta-function	2012	Shaoji Feng Xiaosheng Wu	4
+	Lower bounds for moments of L-functions: symplectic and orthogonal examples	2006	Zeév Rudnick K. Soundararajan	3
+	Multiplicative Number Theory	1980	H. Davenport	3
+ PDF Chat	SIMPLE ZEROS OF PRIMITIVE DIRICHLET L-FUNCTIONS AND THE ASYMPTOTIC LARGE SIEVE	2013	Vorrapan Chandee Y. Lee S.-C. Liu Maksym Radziwiłł	3
+ PDF Chat	Zero repulsion in families of elliptic curve <i>L</i> -functions and an observation of Miller	2012	Simon Marshall	3
+ PDF Chat	Extremal Functions with Vanishing Condition	2015	Friedrich Littmann Mark Spanier	3
+	A Note on the Distribution of the Argument of the Riemann Zeta Function	2006	Akio Fujii	3
+	The behaviour of the Riemann zeta‐function on the critical line	1999	R. R. Hall	3