### Questions (24)

 6 Text about connections between complex analysis and partition theory? 3 Showing that the sequence $\Big(\frac{e^{int}}{\sqrt{2\pi}}\Big)_{n=1}^{\infty}$ is an orthonormal basis for $L^2 ((-\pi, \pi))$ 3 Finding the norm of the operator $M_g : L_p \to L_p$ where $g \in L_{\infty}$ 3 Newman's proof of the Asymptotic Formula for the Partition Function 3 Applying the Uniform Boundedness Principle to $\ell ^p$ space

### Reputation (533)

 +10 Showing that a linear map does not achieve its norm +10 Showing that the sequence $\Big(\frac{e^{int}}{\sqrt{2\pi}}\Big)_{n=1}^{\infty}$ is an orthonormal basis for $L^2 ((-\pi, \pi))$ +20 How can we prove that slopes increase in a convex function $f: \mathbb{R} \rightarrow \mathbb{R}$ from the definition? +10 Spectrum of the right-shift operator on $\ell ^2 (\mathbb{C})$, and a general spectrum question

 2 Calculating derivatives of the Weierstrass $\wp$-function in terms of $\wp$ and $\wp '$ 1 Find dy/dx given $y = 4x^3 – 1 + 2x^{1/2}$ where x > 0.

### Tags (40)

 2 complex-analysis × 9 0 functional-analysis × 9 2 elliptic-functions × 3 0 lp-spaces × 4 1 inequality 0 abstract-algebra × 4 1 ordinary-differential-equations 0 operator-theory × 4 1 derivatives 0 integer-partitions × 2

### Accounts (3)

 Mathematics 533 rep 22 silver badges1111 bronze badges Ebooks 131 rep 11 bronze badge Music: Practice & Theory 123 rep 22 bronze badges