Joni Teräväinen

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All published works

Action	Title	Year	Authors
+ PDF Chat	On Artin's conjecture on average and short character sums	2024	Oleksiy Klurman Igor E. Shparlinski Joni Teräväinen
+ 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	Bounds on the exceptional set in the $abc$ conjecture	2024	T. D. Browning Jared Duker Lichtman Joni Teräväinen
+ PDF Chat	Pointwise convergence of bilinear polynomial averages over the primes	2024	Ben Krause Hamed Mousavi Terence Tao Joni Teräväinen
+	On the Liouville function at polynomial arguments	2024	Joni Teräväinen
+ PDF	On the Local Fourier Uniformity Problem for Small Sets	2024	Adam Kanigowski Mariusz Lemańczyk Florian K. Richter Joni Teräväinen
+ PDF Chat	Quantitative asymptotics for polynomial patterns in the primes	2024	Lilian Matthiesen Joni Teräväinen Mengdi Wang
+ 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
+	Pointwise convergence of ergodic averages with Möbius weight	2024	Joni Teräväinen
+	Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions	2023	Terence Tao Joni Teräväinen
+	Gaussian almost primes in almost all narrow sectors	2023	Olli Järviniemi Joni Teräväinen
+ PDF	Beyond the Erdős discrepancy problem in function fields	2023	Oleksiy Klurman Alexander P. Mangerel Joni Teräväinen
+	Composite values of shifted exponentials	2023	Olli Järviniemi Joni Teräväinen
+ PDF	Multiplicative functions in short arithmetic progressions	2023	Oleksiy Klurman Alexander P. Mangerel Joni Teräväinen
+ PDF	A transference principle for systems of linear equations, and applications to almost twin primes	2023	Pierre‐Yves Bienvenu Xuancheng Shao Joni Teräväinen
+ PDF	A transference principle for systems of linear equations, and applications to almost twin primes	2023	Pierre‐Yves Bienvenu Xuancheng Shao Joni Teräväinen
+ PDF Chat	Higher uniformity of bounded multiplicative functions in short intervals on average	2023	Kaisa Matomäki Maksym Radziwiłł Terence Tao Joni Teräväinen Tamar Ziegler
+	Almost All Alternating Groups are Invariably Generated by Two Elements of Prime Order	2023	Joni Teräväinen
+	Products of primes in arithmetic progressions	2023	Kaisa Matomäki Joni Teräväinen
+	Gaussian almost primes in almost all narrow sectors	2023	Olli Järviniemi Joni Teräväinen
+	On a Bohr set analogue of Chowla's conjecture	2023	Joni Teräväinen Aled Walker
+	On Elliott's conjecture and applications	2023	Oleksiy Klurman Alexander P. Mangerel Joni Teräväinen
+	On the local Fourier uniformity problem for small sets	2023	Adam Kanigowski Mariusz Lemańczyk Florian K. Richter Joni Teräväinen
+ 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	Correlations of multiplicative functions in function fields	2022	Oleksiy Klurman Alexander P. Mangerel Joni Teräväinen
+ PDF	The Hardy–Littlewood–Chowla conjecture in the presence of a Siegel zero	2022	Terence Tao Joni Teräväinen
+ 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
+ PDF	On the Hardy–Littlewood–Chowla conjecture on average	2022	Jared Duker Lichtman Joni Teräväinen
+	Almost all alternating groups are invariably generated by two elements of prime order	2022	Joni Teräväinen
+	Beyond the Erdős discrepancy problem in function fields	2022	Oleksiy Klurman Alexander P. Mangerel 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
+	The Exceptional Set in Goldbach's Problem with Almost Twin Primes	2022	Lasse Grimmelt Joni Teräväinen
+	Bateman-Horn, polynomial Chowla and the Hasse principle with probability 1	2022	T. D. Browning Efthymios Sofos Joni Teräväinen
+ PDF Chat	On the Hardy-Littlewood-Chowla conjecture on average	2021	Jared Duker Lichtman Joni Teräväinen
+ PDF	The Bombieri-Vinogradov theorem for nilsequences	2021	Xuancheng Shao Joni Teräväinen
+ PDF Chat	Multiplicative functions that are close to their mean	2021	Oleksiy Klurman Alexander P. Mangerel Cosmin Pohoata Joni Teräväinen
+	Singmaster's conjecture in the interior of Pascal's triangle	2021	Kaisa Matomäki Maksym Radziwiłł Xuancheng Shao Terence Tao Joni Teräväinen
+	Quantitative bounds for Gowers uniformity of the Möbius and von Mangoldt functions	2021	Terence Tao Joni Teräväinen
+	A transference principle for systems of linear equations, and applications to almost twin primes	2021	Pierre‐Yves Bienvenu Xuancheng Shao Joni Teräväinen
+	Singmaster's conjecture in the interior of Pascal's triangle	2021	Kaisa Matomäki Maksym Radziwiłł Xuancheng Shao Terence Tao Joni Teräväinen
+	The Hardy--Littlewood--Chowla conjecture in the presence of a Siegel zero	2021	Terence Tao Joni Teräväinen
+	The Bombieri-Vinogradov theorem for nilsequences	2020	Xuancheng Shao Joni Teräväinen
+	Higher uniformity of bounded multiplicative functions in short intervals on average	2020	Kaisa Matomäki Maksym Radziwiłł Terence Tao Joni Teräväinen Tamar Ziegler
+	On the Liouville function at polynomial arguments	2020	Joni Teräväinen
+	Composite values of shifted exponentials	2020	Olli Järviniemi Joni Teräväinen
+ PDF Chat	The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures	2019	Terence Tao Joni Teräväinen
+ PDF Chat	The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures	2019	Terence Tao Joni Teräväinen
+ PDF	VALUE PATTERNS OF MULTIPLICATIVE FUNCTIONS AND RELATED SEQUENCES	2019	Terence Tao Joni Teräväinen
+	Multiplicative functions in short arithmetic progressions	2019	Oleksiy Klurman Alexander P. Mangerel Joni Teräväinen
+	Topics in Multiplicative Number Theory	2018	Joni Teräväinen
+ PDF Chat	THE GOLDBACH PROBLEM FOR PRIMES THAT ARE SUMS OF TWO SQUARES PLUS ONE	2018	Joni Teräväinen
+ PDF	ON BINARY CORRELATIONS OF MULTIPLICATIVE FUNCTIONS	2018	Joni Teräväinen
+ PDF	Odd order cases of the logarithmically averaged Chowla conjecture	2018	Terence Tao Joni Teräväinen
+ PDF Chat	Almost primes in almost all short intervals	2016	Joni Teräväinen
+	On Comparative Prime Number Theory	2014	Joni Teräväinen

Common Coauthors

Coauthor	Papers Together
Terence Tao	17
Kaisa Matomäki	15
Xuancheng Shao	11
Oleksiy Klurman	8
Alexander P. Mangerel	7
Maksym Radziwiłł	6
Olli Järviniemi	4
Pierre‐Yves Bienvenu	3
Jared Duker Lichtman	3
Florian K. Richter	2
Mariusz Lemańczyk	2
T. D. Browning	2
Adam Kanigowski	2
Tamar Ziegler	2
Lilian Matthiesen	1
Igor E. Shparlinski	1
Lasse Grimmelt	1
Jori Merikoski	1
Hamed Mousavi	1
Aled Walker	1
Mengdi Wang	1
Efthymios Sofos	1
Ben Krause	1
Cosmin Pohoata	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analytic Number Theory	2004	Emmanuel Kowalski Henryk Iwaniec	17
+ PDF	Multiplicative functions in short intervals	2016	Kaisa Matomäki Maksym Radziwiłł	16
+ PDF	THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS	2016	Terence Tao	14
+ PDF	An averaged form of Chowla’s conjecture	2015	Kaisa Matomäki Maksym Radziwiłł Terence Tao	11
+ PDF	Integers without large prime factors	1993	Adolf Hildebrand Gérald Tenenbaum	11
+ PDF	Linear equations in primes	2010	Ben Green Terence Tao	11
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	9
+ PDF	The quantitative behaviour of polynomial orbits on nilmanifolds	2012	Ben Green Terence Tao	9
+ PDF	Odd order cases of the logarithmically averaged Chowla conjecture	2018	Terence Tao Joni Teräväinen	8
+ PDF Chat	The structure of logarithmically averaged correlations of multiplicative functions, with applications to the Chowla and Elliott conjectures	2019	Terence Tao Joni Teräväinen	8
+ PDF	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao	8
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	7
+ PDF	The Möbius function is strongly orthogonal to nilsequences	2012	Ben Green Terence Tao	7
+ PDF Chat	The logarithmic Sarnak conjecture for ergodic weights	2018	Nikos Frantzikinakis Bernard Host	7
+	Higher order Fourier analysis of multiplicative functions and applications	2016	Nikos Frantzikinakis Bernard Host	7
+ PDF Chat	Fourier uniformity of bounded multiplicative functions in short intervals on average	2019	Kaisa Matomäki Maksym Radziwiłł Terence Tao	6
+ PDF	Multiple recurrence and convergence for sequences related to the prime numbers	2007	Nikos Frantzikinakis Bernard Host Bryna Kra	6
+ PDF	An inverse theorem for the Gowers $U^{s+1}[N]$-norm	2011	Tamar Ziegler Terence Tao Ben Green	6
+ PDF	An inverse theorem for the Gowers U^(s+1)[N]-norm	2012	Ben Green Terence Tao Tamar Ziegler	6
+ PDF Chat	Correlations of multiplicative functions and applications	2017	Oleksiy Klurman	6
+	Prime-detecting sieves	2008	G. Harman	6
+ PDF	Uniformity norms, their weaker versions, and applications	2022	Pandelis Dodos Vassilis Kanellopoulos	5
+ PDF Chat	Higher uniformity of bounded multiplicative functions in short intervals on average	2023	Kaisa Matomäki Maksym Radziwiłł Terence Tao Joni Teräväinen Tamar Ziegler	5
+	Multiplicative Number Theory I: Classical Theory	2006	Hugh L. Montgomery R. C. Vaughan	5
+	Equivalence of the Logarithmically Averaged Chowla and Sarnak Conjectures	2017	Terence Tao	5
+	Opera de Cribro	2010	John Friedlander Henryk Iwaniec	5
+	On the correlation of multiplicative and the sum of additive arithmetic functions	1994	P. D. T. A. Elliott	5
+ PDF	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao	5
+ PDF	The number of primes in a short interval.	1988		5
+	THE RIEMANN HYPOTHESIS AND HILBERT'S TENTH PROBLEM	1966	L. J. Mordell	5
+ PDF Chat	Nilsequences and multiple correlations along subsequences	2018	Anh N. Le	4
+ PDF Chat	Linear correlations of multiplicative functions	2020	Lilian Matthiesen	4
+ PDF Chat	Multiple recurrence and convergence along the primes	2012	Trevor D. Wooley Tamar Ziegler	4
+	On the representation of large odd integer as a sum of three almost equal primes	1991	Tao Zhan	4
+	Equivalence of the logarithmically averaged Chowla and Sarnak conjectures	2016	Terence Tao	4
+ PDF	Sarnak’s conjecture for sequences of almost quadratic word growth	2020	Redmond McNamara	4
+ PDF Chat	Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges	2018	Kaisa Matomäki Maksym Radziwiłł Terence Tao	4
+ PDF	Multiplicative functions in short arithmetic progressions	2023	Oleksiy Klurman Alexander P. Mangerel Joni Teräväinen	4
+ PDF	The Difference Between Consecutive Primes, II	2001	Roger C. Baker G. Harman J. Pintz	4
+	Siegel Zeros and Sarnak's Conjecture	2021	Jake Chinis	4
+ PDF	SIGN PATTERNS OF THE LIOUVILLE AND MÖBIUS FUNCTIONS	2016	Kaisa Matomäki Maksym Radziwiłł Terence Tao	4
+	Kloosterman Sums and a Mean Value for Dirichlet Polynomials	1995	Nigel Watt	4
+ PDF	Ergodicity of the Liouville system implies the Chowla conjecture	2018	Nikos Frantzikinakis	4
+ PDF Chat	An Averaged Chowla and Elliott Conjecture Along Independent Polynomials	2017	Nikos Frantzikinakis	4
+	The Riemann Hypothesis and Hilbert's Tenth Problem.	1966	L. Carlitz S. Chowla	4
+	Almost-primes in arithmetic progressions and short intervals	1978	D. R. Heath‐Brown	4
+ PDF Chat	The structure of correlations of multiplicative functions at almost all scales, with applications to the Chowla and Elliott conjectures	2019	Terence Tao Joni Teräväinen	4
+	On the difference between consecutive primes	1971	M. N. Huxley	3
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery	3
+ PDF	Primes of the type φ(x, y)+A where φ is a quadratic form	1972	Henryk Iwaniec	3