New answers tagged additive-combinatorics
1
vote
Accepted
Reference to a variant of Abel's summation formula
In the book
K. Chandrasekharan, Arithmetical functions, Grundlehren
math. Wiss. 167, Springer, 1970.
(page 22) Abel's summation formula is given in the following form:
Let $0 \leqslant \lambda_1 \...
10
votes
The Stable Set Conjecture
There is a subsequent 1989 paper by Hildebrand, "On integer sets containing strings of consecutive integers" which shows that the if the set satisfies $d(A)>\frac{k-2}{k-1}$ then the ...
Top 50 recent answers are included
Related Tags
additive-combinatorics × 651co.combinatorics × 306
nt.number-theory × 297
sumsets × 62
reference-request × 53
arithmetic-progression × 48
gr.group-theory × 43
analytic-number-theory × 37
finite-groups × 30
finite-fields × 27
prime-numbers × 25
discrete-geometry × 24
pr.probability × 19
ramsey-theory × 17
linear-algebra × 16
fourier-analysis × 16
sidon-sets × 16
polynomials × 13
extremal-combinatorics × 13
graph-theory × 12
integer-sequences × 12
semigroups-and-monoids × 11
ca.classical-analysis-and-odes × 10
binomial-coefficients × 10
partitions × 10