Any small multiplicative sugroup is not a sumset

Ilya D. Shkredov

Type: Preprint

Publication Date: 2017-01-01

Citations: 3

DOI: https://doi.org/10.48550/arxiv.1702.01197

Similar Works

Action	Title	Year	Authors
+	Any small multiplicative subgroup is not a sumset	2020	Ilya D. Shkredov
+ PDF Chat	A note on sumsets of subgroups in Z<sub>p</sub><sup>*</sup>	2013	Derrick Hart
+ PDF Chat	On small sumsets in an abelian group	1960	J. H. B. Kemperman
+ PDF Chat	Small Maximal Sum-Free Sets	2009	Michael Giudici Sarah B. Hart
+ PDF Chat	L-functions and sum-free sets	2020	Tomasz Schoen Ilya D. Shkredov
+	On additive bases of sets with small product set	2016	Ilya D. Shkredov Dmitrii Zhelezov
+	A note on sumsets of subgroups in $\mathbb Z_p^*$	2013	Derrick Hart
+	A note on sumsets of subgroups in $\mathbb Z_p^*$	2013	Derrick Hart
+	Variants of the 3𝑁+1 conjecture and multiplicative semigroups	2005	Hershel M. Farkas
+	The Group of Multiplicative Functions	2009	Underwood Dudley
+	On additive bases of sets with small product set	2016	Ilya D. Shkredov Dmitrii Zhelezov
+	On Sets with a Small Subset Sum	1999	Yahya Ould Hamidoune Anna Lladó Oriol Serra
+ PDF Chat	On Additive Bases of Sets with Small Product Set	2016	Ilya D. Shkredov Dmitrii Zhelezov
+	Sums of multiplicative functions	2008	Emmanuel Kowalski
+	Multiplicative Bases	1997	P. Gabriel A. V. Roiter
+	Sum-free sets which are closed under multiplicative inverses	2020	Katherine Benjamin
+	Sum-free sets which are closed under multiplicative inverses	2021	Katherine Benjamin
+	Remarks on multiplicative functions	1977	Atle Selberg
+	$L$--functions and sum--free sets	2020	Tomasz Schoen Ilya D. Shkredov
+	$L$--functions and sum--free sets	2020	Tomasz Schoen Ilya D. Shkredov

Action	Title	Year	Authors
+ PDF Chat	Refined estimates concerning sumsets contained in the roots of unity	2020	Brandon Hanson Giorgis Petridis
+ PDF Chat	NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS	2019	Thomas Brendan Murphy Giorgis Petridis Oliver Roche‐Newton Misha Rudnev Ilya D. Shkredov
+	On asymptotic formulae in some sum-product questions	2018	Ilya D. Shkredov

Action	Title	Year	Authors
+	Quadratic residues and difference sets	2015	Vsevolod F. Lev Jack Sonn
+	Some new inequalities in additive combinatorics	2012	Ilya D. Shkredov
+ PDF Chat	On additive shifts of multiplicative subgroups	2012	Il'ya Vladimirovich Vyugin Ilya D. Shkredov
+ PDF Chat	On additive decompositions of the set of primitive roots modulo p	2011	Cécile Dartyge Andràs Sárközy
+ PDF Chat	Inverse questions for the large sieve	2014	Ben Green Adam J. Harper
+	On additive decompositions of the set of quadratic residues modulo p	2012	Andràs Sárközy
+	On the size of the set A(A + 1)	2009	Moubariz Z. Garaev Chun‐Yen Shen
+	Character sums with exponential functions	2000	John Friedlander Jan Hansen Igor E. Shparlinski
+	On additive bases of sets with small product set	2016	Ilya D. Shkredov Dmitrii Zhelezov
+	Intersections of shifts of multiplicative subgroups	2016	Il'ya Vladimirovich Vyugin E. V. Solodkova Ilya D. Shkredov