### Questions (27)

 16 Sum and product estimate over integers, rationals, and reals 13 Nice proof of inequality $(1-x^p)^{1/p}(1-x^q)^{1/q}\ge (1-x)(1+x^c)^{1/c}$ where $2^{1/c} = p^{1/p} q^{1/q}$? 12 Small set such that $\{1 , \ldots , n\} \cdot A = \mathbb{Z} / p \mathbb{Z}$ 12 Why do the Maynard-Tao weights work so well? 11 Vanishing of certain periodic series: A question related to $L(1 , \chi) \neq 0$.

### Reputation (2,173)

 +10 Hypotheses for exponent pairs +10 Vanishing of certain periodic series: A question related to $L(1 , \chi) \neq 0$. -2 Unique representation and sumsets +10 Sum and product estimate over integers, rationals, and reals

 11 Jean Bourgain's relatively lesser known significant contributions 10 Unconventional types of induction 9 Sidon sets of $\mathbb{Z}/p\mathbb{Z}$ 9 An exponential sum over squares 7 Estimating $\sum_{p_1\cdots p_k\leq n} \frac{1}{p_1\cdots p_k}$ for various $k$

### Tags (48)

 44 nt.number-theory × 16 12 reference-request × 8 23 analytic-number-theory × 12 12 exponential-sums × 4 20 additive-combinatorics × 11 10 sidon-sets × 2 16 prime-numbers × 7 7 ramsey-theory 14 co.combinatorics × 9 5 fourier-analysis × 3

### Bookmarks (31)

 403 Why do roots of polynomials tend to have absolute value close to 1? 216 If $f$ is infinitely differentiable then $f$ coincides with a polynomial 178 Best online mathematics videos? 108 Is the set $AA+A$ always at least as large as $A+A$? 67 How to recognise that the polynomial method might work