Kaisa Matomäki

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All published works

Action	Title	Year	Authors
+ PDF Chat	On optimality of mollifiers	2025	Martin Čech Kaisa Matomäki
+ 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
+ PDF Chat	The sixth moment of Dirichlet L-functions at the central point	2024	Vorrapan Chandee Xiannan Li Kaisa Matomäki Maksym Radziwiłł
+ PDF Chat	A note on zero density results implying large value estimates for Dirichlet polynomials	2024	Kaisa Matomäki Joni Teräväinen
+	Products of primes in arithmetic progressions	2024	Kaisa Matomäki Joni Teräväinen
+ PDF Chat	Primes in arithmetic progressions and short intervals without $L$-functions	2024	Kaisa Matomäki Jori Merikoski Joni Teräväinen
+	Analytic Number Theory	2023	Kaisa Matomäki K. Soundararajan R. C. Vaughan Trevor D. Wooley
+	On primes, almost primes, and the Möbius function in short intervals	2023	Kaisa Matomäki
+ PDF	A note on exceptional characters and non-vanishing of Dirichlet L-functions	2023	Martin Čech Kaisa Matomäki
+ PDF	Siegel Zeros, Twin Primes, Goldbach’s Conjecture, and Primes in Short Intervals	2023	Kaisa Matomäki Jori Merikoski
+ PDF Chat	Higher uniformity of bounded multiplicative functions in short intervals on average	2023	Kaisa Matomäki Maksym Radziwiłł Terence Tao Joni Teräväinen Tamar Ziegler
+	Products of primes in arithmetic progressions	2023	Kaisa Matomäki Joni Teräväinen
+	A note on exceptional characters and non-vanishing of Dirichlet $L$-functions	2023	Martin Čech Kaisa Matomäki
+	The eighth moment of Dirichlet L-functions II	2023	Vorrapan Chandee Xiannan Li Kaisa Matomäki Maksym Radziwiłł
+ PDF	Higher uniformity of arithmetic functions in short intervals I. All intervals	2023	Kaisa Matomäki Xuancheng Shao Terence Tao Joni Teräväinen
+	Almost primes in almost all short intervals II	2022	Kaisa Matomäki Joni Teräväinen
+ PDF	Almost primes in almost all very short intervals	2022	Kaisa Matomäki
+ PDF Chat	Singmaster’s Conjecture In The Interior Of Pascal’s Triangle	2022	Kaisa Matomäki Maksym Radziwiłł Xuancheng Shao Terence Tao Joni Teräväinen
+ PDF	On the Möbius function in all short intervals	2022	Kaisa Matomäki Joni Teräväinen
+	Higher uniformity of arithmetic functions in short intervals I. All intervals	2022	Kaisa Matomäki Xuancheng Shao Terence Tao Joni Teräväinen
+	Almost primes in almost all short intervals II	2022	Kaisa Matomäki Joni Teräväinen
+	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
+	Siegel zeros, twin primes, Goldbach's conjecture, and primes in short intervals	2021	Kaisa Matomäki Jori Merikoski
+	Singmaster's conjecture in the interior of Pascal's triangle	2021	Kaisa Matomäki Maksym Radziwiłł Xuancheng Shao Terence Tao Joni Teräväinen
+	Analytic Number Theory	2020	Jörg Brüdern Kaisa Matomäki R. C. Vaughan Trevor D. Wooley
+	Multiplicative functions in short intervals II	2020	Kaisa Matomäki Maksym Radziwiłł
+	Almost primes in almost all very short intervals	2020	Kaisa Matomäki
+	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
+ PDF	Correction to: Fourier uniformity of bounded multiplicative functions in short intervals on average	2019	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+ PDF Chat	Fourier uniformity of bounded multiplicative functions in short intervals on average	2019	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+ PDF	Discorrelation Between Primes in Short Intervals and Polynomial Phases	2019	Kaisa Matomäki Xuancheng Shao
+ PDF	Correlations of the von Mangoldt and higher divisor functions II: divisor correlations in short ranges	2019	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+	Discorrelation between primes in short intervals and polynomial phases	2019	Kaisa Matomäki Xuancheng Shao
+	Mini-Workshop: Interplay between Number Theory and Analysis for Dirichlet Series	2018	Frédéric Bayart Kaisa Matomäki Eero Saksman Kristian Seip
+	When the sieve works II	2018	Kaisa Matomäki Xuancheng Shao
+ 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
+	Fourier uniformity of bounded multiplicative functions in short intervals on average	2018	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+ PDF Chat	Vinogradov's theorem with almost equal summands	2017	Kaisa Matomäki James Maynard Xuancheng Shao
+ PDF Chat	Vinogradov’s three primes theorem with almost twin primes	2017	Kaisa Matomäki Xuancheng Shao
+	Correlations of the von Mangoldt and higher divisor functions II. Divisor correlations in short ranges	2017	Kaisa Matomäki Maksym Radziwiłł Terence Tao
+ 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
+ PDF	Real zeros of holomorphic Hecke cusp forms and sieving short intervals	2015	Kaisa Matomäki
+ 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
+	When the sieve works II	2015	Kaisa Matomäki Xuancheng Shao
+ PDF	Another note on smooth numbers in short intervals	2015	Kaisa Matomäki
+ PDF Chat	When the sieve works	2015	Andrew Granville Dimitris Koukoulopoulos Kaisa Matomäki
+	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
+	Multiplicative functions in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł
+	Small scale distribution of zeros and mass of modular forms	2015	Stephen Lester Kaisa Matomäki Maksym Radziwiłł
+	When the sieve works II	2015	Kaisa Matomäki Xuancheng Shao
+	Sign changes of Hecke eigenvalues	2014	Kaisa Matomäki Maksym Radziwiłł
+	Sign changes of Hecke eigenvalues	2014	Kaisa Matomäki Maksym Radziwiłł
+ PDF	On Sumsets of Multisets in $\mathbb{Z}_p^m$	2013	Kaisa Matomäki
+	Kaisa Matomäki - On the distribution of Fourier coefficients of modular forms	2013	Kaisa Matomäki Fanny Bastien Vanille Beaumont
+ PDF	CARMICHAEL NUMBERS IN ARITHMETIC PROGRESSIONS	2013	Kaisa Matomäki
+ PDF	Sums of positive density subsets of the primes	2013	Kaisa Matomäki
+	On Sumsets of Multisets in ℤ p m .	2013	Kaisa Matomäki
+ PDF	ON THE DISTRIBUTION OF -FREE NUMBERS AND NON-VANISHING FOURIER COEFFICIENTS OF CUSP FORMS	2012	Kaisa Matomäki
+ PDF Chat	A new geometric approach to Sturmian words	2012	Kaisa Matomäki Kalle Saari
+	A new geometric approach to Sturmian words	2012	Kaisa Matomäki Kalle Saari
+	A new geometric approach to Sturmian words	2012	Kaisa Matomäki Kalle Saari
+ PDF	On signs of Fourier coefficients of cusp forms	2011	Kaisa Matomäki
+ PDF	A note on signs of Kloosterman sums	2011	Kaisa Matomäki
+ PDF	A NOTE ON SMOOTH NUMBERS IN SHORT INTERVALS	2010	Kaisa Matomäki
+ PDF	Formulas for the number of gridlines	2010	Anne-Maria Ernvall-Hytönen Kaisa Matomäki Pentti Haukkanen Jorma K. Merikoski
+	Prime-representing functions	2010	Kaisa Matomäki
+ PDF	DIOPHANTINE APPROXIMATION BY PRIMES	2009	Kaisa Matomäki
+	The distribution of α<i>p</i> modulo one	2009	Kaisa Matomäki
+	A Bombieri–Vinogradov type exponential sum result with applications	2009	Kaisa Matomäki
+ PDF Chat	On the greatest prime factor of ab + 1	2009	Kaisa Matomäki
+ PDF	A note on primes of the form p=aq<sup>2</sup>+1	2009	Kaisa Matomäki
+	A NOTE ON THE SUM OF THE FIRST n PRIMES	2008	Kaisa Matomäki
+	On the exceptional set in Goldbach’s problem in short intervals	2008	Kaisa Matomäki
+ PDF	Some problems of analytic number theory on arithmetic semigroups	2008	Glyn Harman Kaisa Matomäki
+	LARGE DIFFERENCES BETWEEN CONSECUTIVE PRIMES	2007	Kaisa Matomäki
+	The binary Goldbach problem with one prime of the form <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mi>k</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:msup><mml:mi>l</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>	2007	Kaisa Matomäki
+ PDF	Prime numbers of the form p=m<sup>2</sup>+n<sup>2</sup>+1 in short intervals	2007	Kaisa Matomäki

Common Coauthors

Coauthor	Papers Together
Maksym Radziwiłł	32
Terence Tao	17
Joni Teräväinen	15
Xuancheng Shao	13
Stephen Lester	4
Martin Čech	3
Jori Merikoski	3
Xiannan Li	3
Kalle Saari	3
Vorrapan Chandee	3
Trevor D. Wooley	2
R. C. Vaughan	2
Tamar Ziegler	2
Dimitris Koukoulopoulos	1
Glyn Harman	1
Fanny Bastien	1
Brad Rodgers	1
Vanille Beaumont	1
Eero Saksman	1
Andrew Granville	1
K. Soundararajan	1
Pentti Haukkanen	1
Jorma K. Merikoski	1
Ofir Gorodetsky	1
Jörg Brüdern	1
Anne-Maria Ernvall-Hytönen	1
James Maynard	1
Frédéric Bayart	1
Kristian Seip	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analytic Number Theory	2004	Emmanuel Kowalski Henryk Iwaniec	25
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	20
+	Prime-detecting sieves	2008	G. Harman	15
+ PDF	Multiplicative functions in short intervals	2016	Kaisa Matomäki Maksym Radziwiłł	13
+ PDF	Linear equations in primes	2010	Ben Green Terence Tao	12
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	9
+	On the representation of large odd integer as a sum of three almost equal primes	1991	Tao Zhan	9
+	A Brun-Titschmarsh theorem for multiplicative functions.	1980	Peter Shiu	9
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	8
+ PDF Chat	Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges	2018	Kaisa Matomäki Maksym Radziwiłł Terence Tao	8
+ PDF	The number of primes in a short interval.	1988		7
+ PDF Chat	Nair–Tenenbaum bounds uniform with respect to the discriminant	2012	Kevin Henriot	7
+ PDF	Restriction theory of the Selberg sieve, with applications	2006	Ben Green Terence Tao	7
+	A note on the Liouville function in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł	7
+ PDF	An averaged form of Chowla’s conjecture	2015	Kaisa Matomäki Maksym Radziwiłł Terence Tao	7
+ PDF	Prime Numbers in Short Intervals and a Generalized Vaughan Identity	1982	D. R. Heath‐Brown	7
+ PDF	Nair–Tenenbaum uniform with respect to the discriminant–ERRATUM	2014	Kevin Henriot	7
+ PDF	The quantitative behaviour of polynomial orbits on nilmanifolds	2012	Ben Green Terence Tao	7
+	Opera de Cribro	2010	John Friedlander Henryk Iwaniec	7
+ PDF	Real zeros of holomorphic Hecke cusp forms	2012	Amit Ghosh Peter Sarnak	6
+ PDF	The Difference Between Consecutive Primes, II	2001	Roger C. Baker G. Harman J. Pintz	6
+ PDF	Integers without large prime factors	1993	Adolf Hildebrand Gérald Tenenbaum	6
+	On the difference between consecutive primes	1971	M. N. Huxley	6
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	6
+ PDF	The Möbius function is strongly orthogonal to nilsequences	2012	Ben Green Terence Tao	5
+ PDF Chat	When the sieve works	2015	Andrew Granville Dimitris Koukoulopoulos Kaisa Matomäki	5
+ PDF Chat	Vinogradov's theorem with almost equal summands	2017	Kaisa Matomäki James Maynard Xuancheng Shao	5
+	Multiplicative functions in short intervals	2015	Kaisa Matomäki Maksym Radziwiłł	5
+ PDF	Some problems of analytic number theory	1976	K. Ramachandra	5
+ PDF Chat	Linear correlations of multiplicative functions	2020	Lilian Matthiesen	5
+ PDF Chat	High moments of the Riemann zeta-function	2001	J. Brian Conrey S. M. Gonek	5
+ PDF Chat	Asymptotics for multilinear averages of multiplicative functions	2016	Nikos Frantzikinakis Bernard Host	4
+ PDF	On the fractional parts of $x/n$ and related sequences. II	1977	Bahman Saffari R. C. Vaughan	4
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim	4
+ PDF Chat	Fourier uniformity of bounded multiplicative functions in short intervals on average	2019	Kaisa Matomäki Maksym Radziwiłł Terence Tao	4
+	Kloosterman Sums and a Mean Value for Dirichlet Polynomials	1995	Nigel Watt	4
+ PDF	Primes in arithmetic progressions to large moduli	1986	Enrico Bombieri John Friedlander Henryk Iwaniec	4
+ PDF	A NOTE ON SMOOTH NUMBERS IN SHORT INTERVALS	2010	Kaisa Matomäki	4
+ PDF	Roth’s theorem in the primes	2005	Ben Green	4
+ PDF	Decay of Mean Values of Multiplicative Functions	2003	Andrew Granville K. Soundararajan	4
+ PDF	THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS	2016	Terence Tao	4
+	The number of primes in a short interval.	1988	D. R. Heath‐Brown	4
+	THE RIEMANN HYPOTHESIS AND HILBERT'S TENTH PROBLEM	1966	L. J. Mordell	4
+ PDF	Almost all short intervals containing prime numbers	1996	Chaohua Jia	4
+	Smoothing ‘smooth’ numbers	1993	John Friedlander Andrew Granville	4
+	The Riemann Hypothesis and Hilbert's Tenth Problem.	1966	L. Carlitz S. Chowla	4
+	The Difference Between Consecutive Primes	1996	Roger C. Baker G. Harman	4
+ PDF	SMOOTH NUMBERS IN SHORT INTERVALS	2007	Ernie Croot	4
+ PDF	On the fractional parts of $x/n$ and related sequences. III	1977	Bahman Saffari R. C. Vaughan	4
+	THE GENERAL ADDITIVE DIVISOR PROBLEM AND MOMENTS OF THE ZETA-FUNCTION	1997	Aleksandar Ivić	4