Buy Additive Combinatorics (Cambridge Studies in Advanced Mathematics) on ✓ FREE Terence Tao (Author), Van H. Vu (Contributor). out of . Additive Combinatorics has 7 ratings and 1 review. Pietro said: The material is brilliantly motivated, and intuition all but oozes out of its pages. (One. Advanced Topics in Discrete Mathematics: Additive Combinatorics. MW: Baker Hall B, PM Terence Tao’s Lecture Notes on Additive.

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Thanks for the corrections! I am getting back to my thesis, and was wondering about the solution of exercise 2.

So happy it is right. In the second case of Corollary On pageafter the additivr first proof of 7. To ask other readers questions about Additive Combinatoricsplease sign up.

After the second display, and should be and respectively, and similarly on the third display. Retrieved from ” https: Dear Terry, I was trying to do the following: In the last sentence of the proof of Theorem 9.

Terenve 42, Exercise 1. Thus it remains to verify the S 1.

### Additive Combinatorics – Terence Tao, Van H. Vu – Google Books

Tao, Sorry, I made a typo too, that is Ex: I think that in Exercise 4. I cannot find additive structure of these sets. I think should read as an estimate on the binomial coefficient.

Writing up the results, and exploring negative t Career advice The uncertainty principle A: Show that has cardinalitybut has cardinality at least. Alongkorn Chaisen rated it it was amazing Feb 14, This particular display is just a consequence of the monotonicity properties of stated at the beginning of the paragraph.

One way to proceed is to first use the lossy argument, apply Exercise 2. ST 6 non-technical admin 43 advertising 30 diversions 4 media 12 journals 3 obituary 12 opinion 30 paper book 17 Companion 13 update 19 question polymath 83 talk 64 DLS 19 teaching A — Real analysis 11 B — Real analysis 21 C — Real analysis 6 A — complex analysis 9 C — complex analysis 5 A — analytic prime number theory 16 A — ergodic theory 18 A — Hilbert’s fifth problem 12 A — Incompressible fluid equations 5 A — random matrices 14 B — expansion in groups 8 B — Higher order Fourier analysis 9 B — incompressible Euler equations 1 A — probability theory 6 G — poincare conjecture 20 Logic reading seminar 8 travel Oh, I get it!

In the paragraph after 1. In the last line, should be. Thanks for pointing out the issue!

For example, consider the concept of a Bohr set. To see what your friends thought of this book, please sign up.

## Additive Combinatorics

Post was not sent – check your email addresses! In the proof of Theorem 8.

Finally, in Exercise 2. Contents 14 Correlation inequalities.

Additive combinatorics is the theory of counting additive structures in sets. In the first paragraph of the proof of Corollary 9. I’ve added an erratum accordingly. And the number of representation of a number is maximized when the two sets differences only share zero element. Yes, this is correct together with the fact that f is nonnegative. I have a question: The proofs are beautiful, and the exercises incredible.

The 10 is there purely to prevent the double logarithm from becoming negative. In the discussion of Lemma 4.

### Additive Combinatorics by Terence Tao

Will addirive it as to-read Sep 21, You are commenting using your WordPress. The same also appears and need to be replaced on p. Actually, I think the definition of S is correct as it stands. In the fourth line of the fifth example, should be.