Geodesic
Some new results on higher energies
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 74 (2013) no. 1, pp. 35-73

Voir la notice de l'article provenant de la source Math-Net.Ru

This article is concerned with the method of higher energies from combinatorial number theory. Upper bounds are obtained for the additive energies of convex sets and of sets $A$ with small $|AA|$ and $|A(A+1)|$. New structural results, involving the notion of a dual popular difference set, are proved in terms of higher energies. 
@article{MMO_2013_74_1_a2,
     author = {I. D. Shkredov},
     title = {Some new results on higher energies},
     journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {35--73},
     publisher = {mathdoc},
     volume = {74},
     number = {1},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a2/}
}
TY  - JOUR
AU  - I. D. Shkredov
TI  - Some new results on higher energies
JO  - Trudy Moskovskogo matematičeskogo obŝestva
PY  - 2013
SP  - 35
EP  - 73
VL  - 74
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a2/
LA  - ru
ID  - MMO_2013_74_1_a2
ER  - 
%0 Journal Article
%A I. D. Shkredov
%T Some new results on higher energies
%J Trudy Moskovskogo matematičeskogo obŝestva
%D 2013
%P 35-73
%V 74
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a2/
%G ru
%F MMO_2013_74_1_a2
I. D. Shkredov. Some new results on higher energies. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 74 (2013) no. 1, pp. 35-73. http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a2/