Fourier coefficients of $\chi_E$ assuming $m(E)=1.$
123806
How do I show that the integral of $e^{inx}$ over a set of measure $1$ is nonzero for some nonzero $n$?
74434
Find expected value of $\frac{1}{1+\xi}$
19153
Non-vanishing of Dirichlet $L$ function $L(s,\chi)$ for $Re s=1$
95123
General solution of expected value of E(f(X))?
74596
Coefficient growth in the power series $\sum u_n z^n = e^{1/(1-z)}$?
9944
Fourier series identity
137232
Bounds for the Harmonic k-th partial sum.
109599
A finite sum involving the binomial coefficients and the harmonic numbers
152339
Complex-valued Fourier integral: $ \int_{ - \infty }^{ + \infty } {\frac{{\cos (ax)}}{{{x^2} + 1}}{e^{ - ibx}}\,\mathrm dx} $
136506
Help with an integral for: If U has a $\chi^2$ distribution with v df, find E(U) and V(U)
98282
Prove that the function $\xi\in R \mapsto {e^{i\cdot \xi\cdot λ}-1\over i\cdot \xi}-λ$ is $C^{\infty}$
105145
Show that $\mathbb{E}\left(\bar{X}_{n}\mid X_{(1)},X_{(n)}\right) = \frac{X_{(1)}+X_{(n)}}{2}$
108995
Prove $|e^{i\theta} -1| \leq |\theta|$
129170
Deriving the expectation of $[\hat X,\hat H]$
122603
How does $\mathcal E(\rho)=\mathrm{Tr}_{env}[U(\rho\otimes\rho_{env})U^\dagger]$ turn into $P_0\rho P_0+P_1\rho P_1$?
106531
A Fourier transform of a continuous $L^1$ function
64844
Finding $E(|X_1|\ |\max |X_i| )$