# Berrick Fillmore

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bio website location Berkeley, CA age member for 1 year, 5 months seen Dec 15 at 2:57 profile views 740

Hi. My name is Berrick Fillmore.

 8 Expressing the solutions of the equation $\tan(x) = x$ in closed form. 5 Under what conditions can a function $y: \mathbb{R} \to \mathbb{R}$ be expressed as $z z'$? 5 $(1-2^{1-s})\zeta(s)$ is an entire function 5 If $\lim_{n \to \infty} (2 x_{n + 1} - x_{n}) = x$, then is it true that $\lim_{n \to \infty} x_{n} = x$? 4 Can somebody explain the resolution of the following limit?

# 1,245 Reputation

 +2 $f^{7}$ is holomorphic implies that $f$ is holomorphic. +2 Proving an identity involving the product of the Möbius function and Euler’s totient function. +2 The Lebesgue Criterion for Riemann Integrability — a proof without using the concept of oscillation. +10 Is there a formula for the Haar measure on a product of groups?

# 6 Questions

 7 Showing that $\int_{0}^{\pi / 4} \arctan \! \left( \sqrt{\frac{\cos 2x}{2 \cos^{2} x}} \right) \mathrm{d}{x} = \frac{\pi^{2}}{24}$. 4 The First Homology Group Obtained by Attaching a Möbius Strip to a Torus in a Certain Way. 3 Linear combinations of indicator functions of measurable rectangles with sides of finite measure. 1 Does integrating out a variable in a two-variable measurable function produce a measurable function? 1 A Question About Notation (Homology with Local Coefficients)

# 64 Tags

 29 real-analysis × 12 9 derivatives × 2 22 calculus × 6 9 differential-equations × 2 15 functional-analysis × 7 8 elementary-functions 15 sequences-and-series × 3 8 closed-form 11 measure-theory × 7 8 roots

# 6 Accounts

 Mathematics 1,245 rep 215 TeX - LaTeX 172 rep 4 Science Fiction & Fantasy 160 rep 4 Physics 128 rep 4 Ask Different 103 rep 4