Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier

Andrew Granville, Xuancheng Shao

Type: Article

Publication Date: 2019-05-07

Citations: 12

DOI: https://doi.org/10.1016/j.aim.2019.04.055

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Locations

Advances in Mathematics - View
UCL Discovery (University College London) - View - PDF
arXiv (Cornell University) - View - PDF

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Action	Title	Year	Authors
+	Zeros of Dirichlet polynomials	2020	Arindam Roy Akshaa Vatwani
+ PDF Chat	SMOOTH‐SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE ‐BARRIER	2017	Sary Drappeau Andrew Granville Xuancheng Shao
+ PDF Chat	On a conjecture of Soundararajan	2021	William D. Banks Igor E. Shparlinski
+ PDF Chat	Multiplicative functions in large arithmetic progressions and applications	2021	Étienne Fouvry Gérald Tenenbaum
+	On a conjecture of Soundararajan	2020	William D. Banks Igor E. Shparlinski
+	Limitations to equidistribution in arithmetic progressions	2023	Aditi Savalia Akshaa Vatwani
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+ PDF Chat	The Bombieri-Vinogradov theorem for nilsequences	2021	Xuancheng Shao Joni Teräväinen
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+	An induction principle for the Bombieri-Vinogradov theorem over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><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> and a variant of the Titchmarsh divisor problem	2022	Sampa Dey Aditi Savalia

Works Cited by This (33)

Action	Title	Year	Authors
+	A Brun-Titschmarsh theorem for multiplicative functions.	1980	Peter Shiu
+	Opera de Cribro	2010	John Friedlander Henryk Iwaniec
+	Multiplicative Number Theory	1980	H. Davenport
+	Bombieri--Vinogradov and Barban--Davenport--Halberstam type theorems for smooth numbers	2012	Adam J. Harper
+	Algorithmic Number Theory. Lattices, Number Fields, Curves and Cryptography	2008	Joe Buhler Peter Stevenhagen
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum
+ PDF Chat	Exponential sums with multiplicative coefficients	1977	Hugh L. Montgomery R. C. Vaughan
+	Entiers Sans Grand Facteur Premier En Progressions Arithmetiques	1991	Étienne Fouvry Gérald Tenenbaum
+	Multiplicative functions on arithmetic progressions	1987	P. D. T. A. Elliott
+	Répartition Statistique Des Entiers Sans Grand Facteur Premier Dans Les Progressions Arithmétiques	1996	Étienne Fouvry Gérald Tenenbaum