Pierre‐Yves Bienvenu

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All published works

Action	Title	Year	Authors
+ PDF Chat	Realisability of simultaneous density constraints for sets of integers	2025	Pierre‐Yves Bienvenu
+ PDF Chat	Intersective sets for sparse sets of integers	2024	Pierre‐Yves Bienvenu John T. Griesmer Anh N. Le Thái Hoàng Lê
+	On algebraic properties of power monoids of numerical monoids	2024	Pierre‐Yves Bienvenu Alfred Geroldinger
+	Intersective sets for sparse sets of integers	2024	Pierre‐Yves Bienvenu John T. Griesmer Anh N. Le Thái Hoàng Lê
+ PDF Chat	Metric decomposability theorems on sets of integers	2023	Pierre‐Yves Bienvenu
+ PDF Chat	On additive bases in infinite abelian semigroups	2023	Pierre‐Yves Bienvenu Benjamin Girard Thai Le
+ PDF Chat	A transference principle for systems of linear equations, and applications to almost twin primes	2023	Pierre‐Yves Bienvenu Xuancheng Shao Joni Teräväinen
+ PDF Chat	A transference principle for systems of linear equations, and applications to almost twin primes	2023	Pierre‐Yves Bienvenu Xuancheng Shao Joni Teräväinen
+ PDF Chat	Kneser’s theorem in -finite abelian groups	2022	Pierre‐Yves Bienvenu François Hennecart
+	On algebraic properties of power monoids of numerical monoids	2022	Pierre‐Yves Bienvenu Alfred Geroldinger
+ PDF Chat	Kneser's Theorem in σ-finite Abelian groups	2021	Pierre‐Yves Bienvenu François Hennecart
+	A transference principle for systems of linear equations, and applications to almost twin primes	2021	Pierre‐Yves Bienvenu Xuancheng Shao Joni Teräväinen
+	On additive bases in infinite abelian semigroups	2020	Pierre‐Yves Bienvenu Benjamin Girard Thai Le
+ PDF Chat	On the density or measure of sets and their sumsets in the integers or the circle	2019	Pierre‐Yves Bienvenu François Hennecart
+	Kneser's Theorem in $\sigma$-finite Abelian groups.	2019	Pierre‐Yves Bienvenu François Hennecart
+	On the density or measure of sets and their sumsets in the integers or the circle	2019	Pierre‐Yves Bienvenu François Hennecart
+ PDF Chat	A note on the set A(A + A)	2019	Pierre‐Yves Bienvenu François Hennecart Ilya D. Shkredov
+	A note on the bilinear Bogolyubov theorem: Transverse and bilinear sets	2019	Pierre‐Yves Bienvenu Diego González-Sánchez Ángel Martínez
+ PDF Chat	Asymptotics for some polynomial patterns in the primes	2019	Pierre‐Yves Bienvenu
+ PDF Chat	LINEAR AND QUADRATIC UNIFORMITY OF THE MÖBIUS FUNCTION OVER	2019	Pierre‐Yves Bienvenu Thai Le
+	On the density or measure of sets and their sumsets in the integers or the circle	2019	Pierre‐Yves Bienvenu François Hennecart
+ PDF Chat	A bilinear Bogolyubov theorem	2018	Pierre‐Yves Bienvenu Thái Hoàng Lê
+	A note on the Bilinear Bogolyubov Theorem: Transverse and bilinear sets	2018	Pierre‐Yves Bienvenu Diego González-Sánchez Ángel D. Martínez
+	A note on the Bilinear Bogolyubov Theorem: Transverse and bilinear sets	2018	Pierre‐Yves Bienvenu Diego González-Sánchez Ángel D. Martínez
+	A bilinear Bogolyubov theorem	2017	Pierre‐Yves Bienvenu Thai Le
+ PDF Chat	Polynomial equations in Fq[t]	2017	Pierre‐Yves Bienvenu
+	Polynomial equations in function fields	2017	Pierre‐Yves Bienvenu
+	Linear and quadratic uniformity of the Möbius function over $\mathbb{F}_q[t]$	2017	Pierre‐Yves Bienvenu Thái Hoàng Lê
+	A bilinear Bogolyubov theorem	2017	Pierre‐Yves Bienvenu Thái Hoàng Lê
+	A higher-dimensional Siegel-Walfisz theorem	2016	Pierre‐Yves Bienvenu
+	A higher-dimensional Siegel-Walfisz theorem	2016	Pierre‐Yves Bienvenu
+	Asymptotics for some polynomial patterns in the primes	2015	Pierre‐Yves Bienvenu
+	Asymptotics for some polynomial patterns in the primes	2015	Pierre‐Yves Bienvenu

Common Coauthors

Coauthor	Papers Together
François Hennecart	7
Thái Hoàng Lê	5
Thai Le	4
Diego González-Sánchez	3
Joni Teräväinen	3
Xuancheng Shao	3
Benjamin Girard	2
Anh N. Le	2
John T. Griesmer	2
Alfred Geroldinger	2
Ángel D. Martínez	2
Ángel Martínez	1
Ilya D. Shkredov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Möbius function is strongly orthogonal to nilsequences	2012	Ben Green Terence Tao	7
+ PDF Chat	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao	6
+ PDF Chat	Linear equations in primes	2010	Ben Green Terence Tao	6
+ PDF Chat	On the Bogolyubov–Ruzsa lemma	2012	Tom Sanders	4
+ PDF Chat	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao	4
+ PDF Chat	Dense clusters of primes in subsets	2016	James Maynard	3
+ PDF Chat	The Green-Tao theorem: an exposition	2014	David Conlon Jacob Fox Yufei Zhao	3
+	Small-sum pairs for upper Banach density in countable abelian groups	2013	John T. Griesmer	3
+	Large independent sets in shift-invariant graphs	1987	Igor Kříž	3
+ PDF Chat	An inverse theorem for the Gowers U^(s+1)[N]-norm	2012	Ben Green Terence Tao Tamar Ziegler	3
+ PDF Chat	The primes contain arbitrarily long polynomial progressions	2008	Terence Tao Tamar Ziegler	3
+	A bilinear Bogolyubov-Ruzsa lemma with poly-logarithmic bounds.	2018	Kaave Hosseini Shachar Lovett	2
+ PDF Chat	Green–Tao theorem in function fields	2011	Thái Hoàng Lê	2
+	ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II)	1937	H. Davenport	2
+	Exponential sums involving the Möbius function	1996	Tianrong Zhan J.-Y. Liu	2
+	A bilinear version of Bogolyubov's theorem	2017	W. T. Gowers Luka Milićević	2
+	A note on exponential-Möbius sums over<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">F</mml:mi></mml:mrow><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">[</mml:mo><mml:mi>t</mml:mi><mml:mo stretchy="false">]</mml:mo></mml:math>	2018	Sam Porritt	2
+ PDF Chat	AN ASYMPTOTIC FOR THE NUMBER OF SOLUTIONS TO LINEAR EQUATIONS IN PRIME NUMBERS FROM SPECIFIED CHEBOTAREV CLASSES	2013	Daniel M. Kane	2
+ PDF Chat	An Arithmetic Regularity Lemma, An Associated Counting Lemma, and Applications	2010	Ben Green Terence Tao	2
+ PDF Chat	A higher-dimensional Siegel–Walfisz theorem	2017	Pierre-Yves Bienvenu	2
+	Patterns of Primes in Arithmetic Progressions	2017	J. Pintz	2
+	Polynomial patterns in the primes	2016	Terence Tao Tamar Ziegler	2
+	A note on character sums in finite fields	2017	Abhishek Bhowmick Thai Le Yuru Liu	2
+	Montréal notes on quadratic Fourier analysis	2007	Ben Green	2
+ PDF Chat	On uniform distribution and the density of sum sets	1957	Bodo Volkmann	2
+	Ein metrischer Satz über Mengen ganzer Zahlen	1953	Eduard Wirsing	2
+	None	2002	Norbert Hegyvári	2
+ PDF Chat	Vinogradov’s theorem with Fouvry–Iwaniec primes	2022	Lasse Grimmelt	2
+ PDF Chat	The Chen primes contain arbitrarily long arithmetic progressions	2009	Zhou Bin-bin	2
+	Opera de Cribro	2010	John Friedlander Henryk Iwaniec	2
+ PDF Chat	Low-degree tests at large distances	2007	Alex Samorodnitsky	2
+	Structure Theorem for Multiple Addition and the Frobenius Problem	1996	Vsevolod F. Lev	2
+ PDF Chat	Primes of the type φ(x, y)+A where φ is a quadratic form	1972	Henryk Iwaniec	2
+ PDF Chat	A density version of Vinogradov's three primes theorem	2010	Hongze Li Hao Pan	2
+	Narrow Progressions in the Primes	2015	Terence Tao Tamar Ziegler	2
+	Exponential Sums Formed with the Möbius Function	1991	Roger C. Baker G. Harman	2
+	A divisor problem	1930	E. C. Titchmarsh	2
+ PDF Chat	A relative Szemerédi theorem	2015	David Conlon Jacob Fox Yufei Zhao	2
+ PDF Chat	Quadratic uniformity of the Möbius function	2008	Ben Green Terence Tao	2
+ PDF Chat	Kneser’s theorem for upper Banach density	2006	Prerna Bihani Renling Jin	2
+ PDF Chat	The distribution of irreducibles in 𝐺𝐹[𝑞,𝑥]	1965	David R. Hayes	2
+ PDF Chat	Waring's problem in function fields	2009	Yu-Ru Liu Trevor D. Wooley	2
+	On solution-free sets for simultaneous quadratic and linear equations	2008	Matthew Lee Smith	2
+	Solution to the inverse problem for upper asymptotic density	2006	Renling Jin	2
+	Exponential sums involving the Möbius function	2016	Xiaoguang He Bingrong Huang	2
+	Absch�tzung der asymptotischen Dichte von Summenmengen	1953	Martin Kneser	2
+ PDF Chat	On arithmetic structures in dense sets of integers	2002	Ben Green	2
+ PDF Chat	Uniformity norms, their weaker versions, and applications	2022	Pandelis Dodos Vassilis Kanellopoulos	2
+	Double and triple sums modulo a prime	2007	Katalin Gyarmati Sergeĭ Konyagin Imre Z. Ruzsa	2
+ PDF Chat	A bilinear Bogolyubov theorem	2018	Pierre‐Yves Bienvenu Thái Hoàng Lê	2