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Set
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9 votes
3 answers
11k views

Finding a splitting field of $x^3 + x +1$ over $\mathbb{Z}_2$

0 votes
1 answer
230 views

Sequence of analytic fns on open unit disk, $\lim_{k\rightarrow \infty}\sum_{n=0}^{\infty}a_n(k)z^n = \sum_{n=0}^{\infty}a_n z^n$

2 votes
1 answer
450 views

A property equivalent to $K$ being a finite-dimensional, normal extension field of $F$

4 votes
1 answer
96 views

Discrepancy in the Application of the Identity $\sum_{n=-\infty}^\infty f(n) = -\sum_{j=1}^l \operatorname{Res}(g;a_j)$

3 votes
1 answer
137 views

Possible errors in my professor's notes, Abel summation

1 vote
2 answers
319 views

If $\sum a_n z^n = f(z) = \sum b_n z^n$, What Can Be Said About the Coefficients $a_n$ and $b_n$

1 vote
1 answer
221 views

Finding the Number of Ordered Triples $(x_1,x_2,x_3)$ such that $x_1 + 2x_2 + 3x_3 = n$

0 votes
1 answer
249 views

Proving Continuity in Several Complex Variables

0 votes
1 answer
133 views

Probability that a Brownian Particle will Exit a Certain Part of the Slit Open Unit Disk

0 votes
1 answer
327 views

Confusion about $\log(\frac{1+z}{1-z})$ being Analytic on $\mathbb{C}-[-1,1]$

2 votes
1 answer
334 views

Trying to sort the coefficients of the polynomial $(z-a)(z-b)(z-c)...(z-n)$ into a vector

2 votes
1 answer
1k views

Question about The Weierstrass Factorization Theorem

7 votes
1 answer
2k views

Is it Possible to have Two Distinct Analytic Functions with the Same Real Part?

2 votes
2 answers
145 views

Can someone check my work on this integral?

5 votes
1 answer
3k views

The Integral of a Harmonic Function

3 votes
1 answer
1k views

Do Conformal Maps of Open Sets of the Complex Plane Always Take Boundary to Boundary?

10 votes
3 answers
594 views

Prove or Disprove that $\left|\frac{e^{2i\theta} -2e^{i\theta} - 1}{e^{2i\theta} + 2e^{i\theta} -1}\right| = 1$

2 votes
2 answers
198 views

Does the Series $\sum_{\substack{k=-\infty\\k\neq0}}^{\infty}\frac{e^{\frac{-\pi ik}{5}} - 1}{k}$ Converge?

1 vote
1 answer
57 views

What Coeffecients Allow Me to Factor this Quadratic as $(z-e^{i\phi})(z-e^{i\psi})$

0 votes
1 answer
1k views

Pairwise non-integral numbers

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