Maksym Radziwiłł

Maksym Radziwiłł is a Polish-Canadian mathematician specializing in analytic number theory. Born in 1988, he has made significant contributions to the understanding of multiplicative functions and their behavior, particularly in relation to the Möbius function and the Chowla and Elliott conjectures.

Radziwiłł completed his Ph.D. at Stanford University in 2013 under the supervision of Kannan Soundararajan. His dissertation focused on topics in number theory and laid the groundwork for his future research. After his doctoral studies, he held positions at esteemed institutions, including McGill University in Canada.

One of his most notable collaborations is with Finnish mathematician Kaisa Matomäki. Together, they developed groundbreaking results on the averages of multiplicative functions over short intervals. Their work has had a profound impact on the field, resolving several long-standing questions and opening new avenues of research in number theory.

In recognition of his contributions, Maksym Radziwiłł has received several prestigious awards:

SASTRA Ramanujan Prize (2016): Shared with Kaisa Matomäki for their joint work on multiplicative functions in short intervals.

Sloan Research Fellowship (2016): Awarded by the Alfred P. Sloan Foundation to early-career scientists and scholars of outstanding promise.

New Horizons in Mathematics Prize (2019): For his advances in understanding the correlations of the Möbius function and the development of new techniques in analytic number theory.

As of my knowledge cutoff in September 2021, Radziwiłł is a professor at the California Institute of Technology (Caltech), where he continues his research and mentors graduate students. His work remains influential, pushing the boundaries of modern number theory.

All published works

Action	Title	Year	Authors
+ PDF Chat	The eighth moment of Dirichlet L-functions II	2024	Vorrapan Chandee Xiannan Li Kaisa Matomäki Maksym Radziwiłł
+ PDF Chat	Higher uniformity of arithmetic functions in short intervals II. Almost all intervals	2024	Kaisa Matomäki Maksym Radziwiłł Xuancheng Shao Terence Tao Joni Teräväinen
+	Bias in cubic Gauss sums: Patterson's conjecture	2024	Alexander R. Dunn Maksym Radziwiłł
+ PDF Chat	Horocycle flow at product of two primes	2024	Giovanni Forni Adam Kanigowski Maksym Radziwiłł
+ PDF Chat	The sixth moment of Dirichlet L-functions at the central point	2024	Vorrapan Chandee Xiannan Li Kaisa Matomäki Maksym Radziwiłł
+ PDF Chat	Gap distribution of $\sqrt{n} \,\mathrm{mod}\, 1$ and the circle method	2024	Maksym Radziwiłł Niclas Technau
+ PDF	Prime number theorem for analytic skew products	2024	Adam Kanigowski Mariusz Lemańczyk Maksym Radziwiłł
+ PDF	Conditional lower bounds on the distribution of central values in families of $L$-functions	2024	Maksym Radziwiłł K. Soundararajan
+	Poissonian Pair Correlation for $\alpha n^{\theta }$ mod 1	2023	Maksym Radziwiłł Andrei Shubin
+ PDF Chat	Small Gaps in the Spectrum of Tori: Asymptotic Formulae	2023	Valentin Blomer Maksym Radziwiłł
+	Triple correlation and long gaps in the spectrum of flat tori	2023	Christoph Aistleitner Valentin Blomer Maksym Radziwiłł
+ PDF	One-level density estimates for Dirichlet L-functions with extended support	2023	Sary Drappeau Kyle Pratt Maksym Radziwiłł
+ PDF Chat	Higher uniformity of bounded multiplicative functions in short intervals on average	2023	Kaisa Matomäki Maksym Radziwiłł Terence Tao Joni Teräväinen Tamar Ziegler
+	Poissonian pair correlation for $αn^θ$	2023	Maksym Radziwiłł Andrei Shubin
+	Non-vanishing of twists of $\text{GL}_4(\mathbb{A}_{\mathbb{Q}})$ $L$-functions	2023	Maksym Radziwiłł Liyang Yang
+	The Fyodorov-Hiary-Keating Conjecture. II	2023	Louis‐Pierre Arguin Paul Bourgade Maksym Radziwiłł
+	$L^1$ means of exponential sums with multiplicative coefficients. I	2023	Mayank Pandey Maksym Radziwiłł
+	The eighth moment of Dirichlet L-functions II	2023	Vorrapan Chandee Xiannan Li Kaisa Matomäki Maksym Radziwiłł
+	Conditional lower bounds on the distribution of central values in families of $L$-functions	2023	Maksym Radziwiłł K. Soundararajan
+ PDF Chat	Optimal Small Scale Equidistribution of Lattice Points on the Sphere, Heegner Points, and Closed Geodesics	2022	Peter Humphries Maksym Radziwiłł
+ PDF Chat	Singmaster’s Conjecture In The Interior Of Pascal’s Triangle	2022	Kaisa Matomäki Maksym Radziwiłł Xuancheng Shao Terence Tao Joni Teräväinen
+ PDF Chat	Moments of the Riemann zeta function on short intervals of the critical line	2021	Louis‐Pierre Arguin Frédéric Ouimet Maksym Radziwiłł
+	Singmaster's conjecture in the interior of Pascal's triangle	2021	Kaisa Matomäki Maksym Radziwiłł Xuancheng Shao Terence Tao Joni Teräväinen
+ PDF	On the variance of squarefree integers in short intervals and arithmetic progressions	2021	Ofir Gorodetsky Kaisa Matomäki Maksym Radziwiłł Brad Rodgers
+ PDF	Signs of Fourier coefficients of half-integral weight modular forms	2021	Stephen Lester Maksym Radziwiłł
+	Expansion, divisibility and parity	2021	H. A. Helfgott Maksym Radziwiłł
+ PDF	Rigidity in dynamics and M	2021	Adam Kanigowski Mariusz Lemańczyk Maksym Radziwiłł
+	Bias in cubic Gauss sums: Patterson's conjecture	2021	Alexander R. Dunn Maksym Radziwiłł
+	Singmaster's conjecture in the interior of Pascal's triangle	2021	Kaisa Matomäki Maksym Radziwiłł Xuancheng Shao Terence Tao Joni Teräväinen
+	Small gaps in the spectrum of tori: asymptotic formulae	2021	Valentin Blomer Maksym Radziwiłł
+ PDF	A quadratic divisor problem and moments of the Riemann zeta-function	2020	Sandro Bettin Hung M. Bui Xiannan Li Maksym Radziwiłł
+	Multiplicative functions in short intervals II	2020	Kaisa Matomäki Maksym Radziwiłł
+ PDF	Limiting distribution of eigenvalues in the large sieve matrix	2020	Florin P. Boca Maksym Radziwiłł
+ PDF	One-level density estimates for Dirichlet $L$-functions with extended support	2020	Sary Drappeau Kyle Pratt Maksym Radziwiłł
+	The Fyodorov-Hiary-Keating Conjecture. I	2020	Louis‐Pierre Arguin Paul Bourgade Maksym Radziwiłł
+	Higher uniformity of bounded multiplicative functions in short intervals on average	2020	Kaisa Matomäki Maksym Radziwiłł Terence Tao Joni Teräväinen Tamar Ziegler
+	Multiplicative functions in short intervals II	2020	Kaisa Matomäki Maksym Radziwiłł
+	Prime number theorem for analytic skew products	2020	Adam Kanigowski Mariusz Lemańczyk Maksym Radziwiłł
+	One-level density estimates for Dirichlet L-functions with extended support	2020	Sary Drappeau Kyle Pratt Maksym Radziwiłł
+ PDF Chat	Quantum unique ergodicity for half-integral weight automorphic forms	2019	Stephen Lester Maksym Radziwiłł
+ PDF	Correction to: Fourier uniformity of bounded multiplicative functions in short intervals on average	2019	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+ PDF	Discrepancy bounds for the distribution of the Riemann zeta-function and applications	2019	Youness Lamzouri Stephen Lester Maksym Radziwiłł
+ PDF	SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION	2019	Winston Heap Maksym Radziwiłł K. Soundararajan
+ PDF Chat	Fourier uniformity of bounded multiplicative functions in short intervals on average	2019	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	Rigidity in dynamics and M\"obius disjointness.	2019	Adam Kanigowski Mariusz Lemańczyk Maksym Radziwiłł
+	Signs of Fourier coefficients of half-integral weight modular forms.	2019	Stephen Lester Maksym Radziwiłł
+	Sharp upper bounds for fractional moments of the Riemann zeta function	2019	Winston Heap Maksym Radziwiłł K. Soundararajan
+ PDF	Correlations of the von Mangoldt and higher divisor functions II: divisor correlations in short ranges	2019	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	Rigidity in dynamics and Möbius disjointness	2019	Adam Kanigowski Mariusz Lemańczyk Maksym Radziwiłł
+	Signs of Fourier coefficients of half-integral weight modular forms	2019	Stephen Lester Maksym Radziwiłł
+	Sharp upper bounds for fractional moments of the Riemann zeta function	2019	Winston Heap Maksym Radziwiłł K. Soundararajan
+ PDF	A Note on the Dimension of the Largest Simple Hecke Submodule	2018	Sandro Bettin Corentin Perret-Gentil Maksym Radziwiłł
+	Level of distribution of unbalanced convolutions	2018	Étienne Fouvry Maksym Radziwiłł
+ PDF	An effective universality theorem for the Riemann zeta function	2018	Youness Lamzouri Stephen Lester Maksym Radziwiłł
+	A note on the dimension of the largest simple Hecke submodule	2018	Sandro Bettin Corentin Perret-Gentil Maksym Radziwiłł
+ PDF Chat	Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line	2018	Louis‐Pierre Arguin David Belius Paul Bourgade Maksym Radziwiłł K. Soundararajan
+ PDF Chat	Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges	2018	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+ PDF	Small scale distribution of zeros and mass of modular forms	2018	Stephen Lester Kaisa Matomäki Maksym Radziwiłł
+	On the typical size and cancellations among the coefficients of some modular forms	2018	Florian Luca Maksym Radziwiłł Igor E. Shparlinski
+ PDF Chat	Selberg’s central limit theorem for log $\|\zeta(\tfrac 12+it)\|$	2018	Maksym Radziwiłł K. Soundararajan
+	Level of distribution of unbalanced convolutions	2018	Étienne Fouvry Maksym Radziwiłł
+	A note on the dimension of the largest simple Hecke submodule	2018	Sandro Bettin Corentin Perret-Gentil Maksym Radziwiłł
+	Fourier uniformity of bounded multiplicative functions in short intervals on average	2018	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	Triple correlation and long gaps in the spectrum of flat tori	2018	Christoph Aistleitner Valentin Blomer Maksym Radziwiłł
+	Another application of Linnik's dispersion method	2018	Étienne Fouvry Maksym Radziwiłł
+	Small gaps in the spectrum of the rectangular billiard	2017	Valentin Blomer Jean Bourgain Maksym Radziwiłł Zeév Rudnick
+	Correlations of the von Mangoldt and higher divisor functions II. Divisor correlations in short ranges	2017	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	Small gaps in the spectrum of the rectangular billiard	2017	Valentin Blomer Jean Bourgain Maksym Radziwiłł Zeév Rudnick
+	Maximum of the Riemann zeta function on a short interval of the critical line	2016	Louis‐Pierre Arguin David Belius Paul Bourgade Maksym Radziwiłł K. Soundararajan
+	An effective universality theorem for the Riemann zeta-function	2016	Youness Lamzouri Stephen Lester Maksym Radziwiłł
+	Refinements of Gál's theorem and applications	2016	Mark Lewko Maksym Radziwiłł
+	Limiting distribution of eigenvalues in the large sieve matrix	2016	Florin P. Boca Maksym Radziwiłł
+	A quadratic divisor problem and moments of the Riemann zeta-function	2016	Sandro Bettin Hung M. Bui Xiannan Li Maksym Radziwiłł
+ PDF	Multiplicative functions in short intervals	2016	Kaisa Matomäki Maksym Radziwiłł
+ PDF	SIGN PATTERNS OF THE LIOUVILLE AND MÖBIUS FUNCTIONS	2016	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	Limiting distribution of eigenvalues in the large sieve matrix	2016	Florin P. Boca Maksym Radziwiłł
+	Maximum of the Riemann zeta function on a short interval of the critical line	2016	Louis‐Pierre Arguin David Belius Paul Bourgade Maksym Radziwiłł K. Soundararajan
+	A quadratic divisor problem and moments of the Riemann zeta-function	2016	Sandro Bettin H. M. Bui Xiannan Li Maksym Radziwiłł
+	An effective universality theorem for the Riemann zeta-function	2016	Youness Lamzouri Stephen Lester Maksym Radziwiłł
+	Small gaps in the spectrum of the rectangular billiard	2016	Valentin Blomer Jean Bourgain Maksym Radziwiłł Zeév Rudnick
+ PDF	Sign changes of Hecke eigenvalues	2015	Kaisa Matomäki Maksym Radziwiłł
+ PDF	An averaged form of Chowla’s conjecture	2015	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	Selberg's central limit theorem for $\log \|\zeta(\tfrac 12+it)\|$	2015	Maksym Radziwiłł K. Soundararajan
+	A note on Helson's conjecture on moments of random multiplicative functions	2015	Adam J. Harper Ashkan Nikeghbali Maksym Radziwiłł
+ PDF Chat	Moments and distribution of central $$L$$ L -values of quadratic twists of elliptic curves	2015	Maksym Radziwiłł K. Soundararajan
+ PDF	The mean square of the product of the Riemann zeta-function with Dirichlet polynomials	2015	Sandro Bettin Vorrapan Chandee Maksym Radziwiłł
+	Counting arithmetic formulas	2015	Edinah K. Gnang Maksym Radziwiłł Carlo Sanna
+	Multiplicative functions in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł
+	Zeros of Modular Forms in Thin Sets and Effective Quantum Unique Ergodicity	2015	Stephen Lester Kaisa Matomäki Maksym Radziwiłł
+	Small scale distribution of zeros and mass of modular forms	2015	Stephen Lester Kaisa Matomäki Maksym Radziwiłł
+	A note on the Liouville function in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł
+	Sign patterns of the Liouville and Möbius functions	2015	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	A Note on Helson’s Conjecture on Moments of Random Multiplicative Functions	2015	Adam J. Harper Ashkan Nikeghbali Maksym Radziwiłł
+	Multiplicative functions in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł
+	Selberg's central limit theorem for $\log \|ζ(\tfrac 12+it)\|$	2015	Maksym Radziwiłł K. Soundararajan
+	A note on Helson's conjecture on moments of random multiplicative functions	2015	Adam J. Harper Ashkan Nikeghbali Maksym Radziwiłł
+	Small scale distribution of zeros and mass of modular forms	2015	Stephen Lester Kaisa Matomäki Maksym Radziwiłł
+	The mean square of the product of $\zeta(s)$ with Dirichlet polynomials	2014	Sandro Bettin Vorrapan Chandee Maksym Radziwiłł
+	Refinements of Gál's theorem and applications	2014	Mark Lewko Maksym Radziwiłł
+	Refinements of G\'al's theorem and applications	2014	Mark Lewko Maksym Radziwiłł
+	Counting arithmetic formulas	2014	Edinah K. Gnang Maksym Radziwiłł Carlo Sanna
+	Sign changes of Hecke eigenvalues	2014	Kaisa Matomäki Maksym Radziwiłł
+	Moments and distribution of central L-values of quadratic twists of elliptic curves	2014	Maksym Radziwiłł K. Soundararajan
+	Gaps between zeros of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>ζ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>s</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>and the distribution of zeros of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>ζ</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mi>s</…	2014	Maksym Radziwiłł
+	Discrepancy bounds for the distribution of the Riemann zeta-function and applications	2014	Youness Lamzouri Stephen Lester Maksym Radziwiłł
+	Discrepancy bounds for the distribution of the Riemann zeta-function and applications	2014	Youness Lamzouri Stephen Lester Maksym Radziwiłł
+	Sign changes of Hecke eigenvalues	2014	Kaisa Matomäki Maksym Radziwiłł
+	Refinements of Gál's theorem and applications	2014	Mark Lewko Maksym Radziwiłł
+	Counting arithmetic formulas	2014	Edinah K. Gnang Maksym Radziwiłł Carlo Sanna
+	The mean square of the product of $ζ(s)$ with Dirichlet polynomials	2014	Sandro Bettin Vorrapan Chandee Maksym Radziwiłł
+ PDF Chat	The Riemann Zeta Function on Vertical Arithmetic Progressions	2013	Xiannan Li Maksym Radziwiłł
+ PDF	SIMPLE ZEROS OF PRIMITIVE DIRICHLET L-FUNCTIONS AND THE ASYMPTOTIC LARGE SIEVE	2013	Vorrapan Chandee Y. Lee Shih-Chii Liu Maksym Radziwiłł
+	Gaps between zeros of $\zeta(s)$ and the distribution of zeros of $\zeta'(s)$	2013	Maksym Radziwiłł
+	On the Typical Size and Cancelations Among the Coefficients of Some Modular Forms	2013	Florian Luca Maksym Radziwiłł Igor E. Shparlinski
+	Gaps between zeros of $ζ(s)$ and the distribution of zeros of $ζ'(s)$	2013	Maksym Radziwiłł
+	Simple zeros of primitive Dirichlet $L$-functions and the asymptotic large sieve	2012	Vorrapan Chandee Yoonbok Lee Sheng‐Chi Liu Maksym Radziwiłł
+ PDF Chat	CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA AND<i>L</i>‐FUNCTIONS	2012	Maksym Radziwiłł K. Soundararajan
+	Limitations to mollifying $\zeta(s)$	2012	Maksym Radziwiłł
+	The Riemann-zeta function on vertical arithmetic progressions	2012	Xiannan Li Maksym Radziwiłł
+	Limitations to mollifying $ζ(s)$	2012	Maksym Radziwiłł
+	Simple zeros of primitive Dirichlet $L$-functions and the asymptotic large sieve	2012	Vorrapan Chandee Yoonbok Lee Sheng‐Chi Liu Maksym Radziwiłł
+ PDF Chat	The 4.36th Moment of the Riemann Zeta-Function	2011	Maksym Radziwiłł
+	A structure theorem in probabilistic number theory	2011	Maksym Radziwiłł
+	A converse to Halász's theorem	2011	Maksym Radziwiłł
+	Large deviations in Selberg's central limit theorem	2011	Maksym Radziwiłł
+	The 4.36-th moment of the Riemann zeta-function	2011	Maksym Radziwiłł
+	The 4.36-th moment of the Riemann zeta-function	2011	Maksym Radziwiłł
+	A converse to Halasz's theorem	2011	Maksym Radziwiłł
+	A structure theorem in probabilistic number theory	2011	Maksym Radziwiłł
+	Large deviations in Selberg's central limit theorem	2011	Maksym Radziwiłł
+	ON LARGE DEVIATIONS OF ADDITIVE FUNCTIONS	2009	Maksym Radziwiłł
+	On large deviations of additive functions	2009	Maksym Radziwiłł

Common Coauthors

Coauthor	Papers Together
Kaisa Matomäki	32
Terence Tao	15
K. Soundararajan	14
Stephen Lester	14
Sandro Bettin	9
Vorrapan Chandee	9
Xiannan Li	8
Valentin Blomer	7
Louis‐Pierre Arguin	6
Adam Kanigowski	6
Youness Lamzouri	6
Joni Teräväinen	6
Mariusz Lemańczyk	5
Paul Bourgade	5
Xuancheng Shao	4
Mark Lewko	4
Winston Heap	3
Kyle Pratt	3
Ashkan Nikeghbali	3
Jean Bourgain	3
Carlo Sanna	3
Adam J. Harper	3
Edinah K. Gnang	3
Corentin Perret-Gentil	3
Sary Drappeau	3
Florin P. Boca	3
Étienne Fouvry	3
Zeév Rudnick	3
David Belius	3
Alexander R. Dunn	2
Sheng‐Chi Liu	2
Florian Luca	2
Yoonbok Lee	2
Hung M. Bui	2
Tamar Ziegler	2
Igor E. Shparlinski	2
Christoph Aistleitner	2
Andrei Shubin	2
Niclas Technau	1
Peter Humphries	1
Ofir Gorodetsky	1
Shih-Chii Liu	1
Frédéric Ouimet	1
H. M. Bui	1
Giovanni Forni	1
H. A. Helfgott	1
Y. Lee	1
Liyang Yang	1
Brad Rodgers	1
Mayank Pandey	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	21
+ PDF	Moments of the Riemann zeta function	2009	K. Soundararajan	17
+	Analytic Number Theory	2004	Emmanuel Kowalski Henryk Iwaniec	14
+ PDF	Multiplicative functions in short intervals	2016	Kaisa Matomäki Maksym Radziwiłł	12
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	10
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	10
+ PDF Chat	The twisted fourth moment of the Riemann zeta function	2010	C. P. Hughes Matthew P. Young	10
+	Fractional Moments of the Riemann Zeta-Function	1981	D. R. Heath‐Brown	10
+ PDF	An averaged form of Chowla’s conjecture	2015	Kaisa Matomäki Maksym Radziwiłł Terence Tao	10
+ PDF Chat	High moments of the Riemann zeta-function	2001	J. Brian Conrey S. M. Gonek	9
+	Mean-Value Theorems in the Theory of the Riemann Zeta-Function	1928	A. E. Ingham	9
+ PDF	Random Matrix Theory and ζ(1/2+ it)	2000	Jonathan P. Keating N. C. Snaith	9
+	Sharp conditional bounds for moments of the Riemann zeta function	2013	Adam J. Harper	8
+	A Brun-Titschmarsh theorem for multiplicative functions.	1980	Peter Shiu	8
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	7
+ PDF Chat	Integral moments of L-functions	2005	J. Brian Conrey DW Farmer Jon P Keating MO Rubinstein N. C. Snaith	7
+ PDF	Real zeros of holomorphic Hecke cusp forms	2012	Amit Ghosh Peter Sarnak	6
+	A note on the Liouville function in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł	6
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec	6
+ PDF Chat	Nair–Tenenbaum bounds uniform with respect to the discriminant	2012	Kevin Henriot	6
+	On Mean Values for Dirichlet's Polynomials and the Riemann Zeta-Function	1980	Henryk Iwaniec	6
+ PDF Chat	Moments and distribution of central $$L$$ L -values of quadratic twists of elliptic curves	2015	Maksym Radziwiłł K. Soundararajan	6
+ PDF	Linear equations in primes	2010	Ben Green Terence Tao	6
+	Multiplicative Number Theory	1980	H. Davenport	6
+ PDF	THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS	2016	Terence Tao	6
+ PDF	Nair–Tenenbaum uniform with respect to the discriminant–ERRATUM	2014	Kevin Henriot	6
+	On the Distribution of Extreme Values of Zeta and L-Functions in the Strip 1/2 < < 1	2011	Youness Lamzouri	5
+ PDF Chat	Extreme values of zeta and L-functions	2008	K. Soundararajan	5
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	5
+ PDF	Some remarks on the mean value of the Riemann zeta-function and other Dirichlet series 1	1978	K. Ramachandra	5
+ PDF	Contributions to the theory of the riemann zeta-function and the theory of the distribution of primes	1916	G. H. Hardy J. E. Littlewood	5
+ PDF Chat	The maximum size of L-functions	2007	David W. Farmer S. M. Gonek C. P. Hughes	5
+	Asymptotic mean square of the product of the Riemann zeta-function and a Dirichlet polynomial.	1985	D. R. Heath‐Brown J. Brian Conrey	5
+	The Riemann Hypothesis and Hilbert's Tenth Problem.	1966	L. Carlitz S. Chowla	5
+	Multiplicative functions in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł	5
+ PDF Chat	Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges	2018	Kaisa Matomäki Maksym Radziwiłł Terence Tao	5
+	Extreme values of the Riemann zeta function	1977	Hugh L. Montgomery	5
+	Kloosterman Sums and a Mean Value for Dirichlet Polynomials	1995	Nigel Watt	5
+ PDF	Maxima of a randomized Riemann zeta function, and branching random walks	2017	Louis‐Pierre Arguin David Belius Adam J. Harper	4
+	Moments and distribution of central L-values of quadratic twists of elliptic curves	2014	Maksym Radziwiłł K. Soundararajan	4
+ PDF	Multiple Dirichlet Series and Moments of Zeta and L-Functions	2003	Adrian Diaconu Dorian Goldfeld Jeffrey Hoffstein	4
+ PDF	Decay of Mean Values of Multiplicative Functions	2003	Andrew Granville K. Soundararajan	4
+ PDF Chat	The Sixth Power Moment of Dirichlet L-Functions	2012	J. Brian Conrey Henryk Iwaniec K. Soundararajan	4
+ PDF	The mean square of the product of the Riemann zeta-function with Dirichlet polynomials	2015	Sandro Bettin Vorrapan Chandee Maksym Radziwiłł	4
+	On the zeros of the Riemann zeta-function	1924	J. E. Littlewood	4
+ PDF Chat	Asymptotics for multilinear averages of multiplicative functions	2016	Nikos Frantzikinakis Bernard Host	4
+	Table of Integrals, Series, and Products	1980		4
+	Large deviations for combinatorial distributions. I. Central limit theorems	1996	Hsien‐Kuei Hwang	4
+	On the Remainder in the Formula for <i>N</i> (<i>T</i> ), the Number of Zeros of ζ(<i>s</i> ) in the Strip 0<<i>t</i> <<i>T</i>	1928	E. C. Titchmarsh	4
+	Asymptotic Large Sieve	2011	Brian Conrey Henryk Iwaniec K. Soundararajan	4