Question

Algebraic manipulation in Vaughan's book on the circle method

score 165 · Answer 1 · 2026-04-11 22:24:33

165

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Algebraic manipulation in Vaughan's book on the circle method

Published on 11 Apr 2026 - 22:24

score 1k · Answer 2 · 2026-04-26 04:21:18

1k

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Some basic results of measure theory in complex analysis?

Published on 26 Apr 2026 - 4:21

score 1.1k · Answer 3 · 2026-04-08 21:15:33

1.1k

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Finding Residues Using Partial Fractions

Published on 08 Apr 2026 - 21:15

score 145 · Answer 4 · 2026-04-13 10:50:02

145

Views

Laurent series for $f(z) = \frac{\sinh(z + 3i)}{z(z + 3i)^3}$ at $-3i$ (not leaving as a product of series)

Published on 13 Apr 2026 - 10:50

score 65 · Answer 5 · 2026-04-15 15:30:22

65

Views

Reference request : "instability" of analytic continuation

Published on 15 Apr 2026 - 15:30

score 853 · Answer 6 · 2026-04-15 22:36:49

853

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Integral of $\frac{z^5}{1-z^3}$ over $|z| = 2$

Published on 15 Apr 2026 - 22:36

score 497 · Answer 7 · 2026-05-02 05:17:18

497

Views

connection between winding number and topological degree

Published on 02 May 2026 - 5:17

score 106 · Answer 8 · 2026-04-29 12:54:34

106

Views

Calculate $\sum_{n=1}^\infty\frac{1}{n^2}$ and $\sum_{n=1}^\infty\frac{1}{n^4}$

Published on 29 Apr 2026 - 12:54

score 232 · Answer 9 · 2026-04-15 19:30:47

232

Views

New/useful method for summation of divergent series?

Published on 15 Apr 2026 - 19:30

score 393 · Answer 10 · 2026-04-17 01:27:10

393

Views

$f: \mathbb{D} \to \mathbb{D}$ holomorphic, $f(\frac{1}{2}) + f(-\frac{1}{2}) = 0$. Prove $|f(0)| \leq \frac{1}{4}$

Published on 17 Apr 2026 - 1:27

score 98 · Answer 11 · 2026-04-16 13:10:59

98

Views

the radius of convergence of a power series

Published on 16 Apr 2026 - 13:10

score 122 · Answer 12 · 2026-04-08 22:37:36

122

Views

maximum modulus principle; function bounded

Published on 08 Apr 2026 - 22:37

score 88 · Answer 13 · 2026-04-15 02:20:46

88

Views

if $f(z) = \sum a_n z^n$ is the power series of $f$, then $f$ is constant if

Published on 15 Apr 2026 - 2:20

score 540 · Answer 14 · 2026-04-13 13:43:30

540

Views

locally injective holomorphic function

Published on 13 Apr 2026 - 13:43

score 83 · Answer 15 · 2026-04-14 12:13:40

83

Views

Prove that this entire function $f$ is constant

Published on 14 Apr 2026 - 12:13

List Question

Algebraic manipulation in Vaughan's book on the circle method

Some basic results of measure theory in complex analysis?

Finding Residues Using Partial Fractions

Laurent series for $f(z) = \frac{\sinh(z + 3i)}{z(z + 3i)^3}$ at $-3i$ (not leaving as a product of series)

Reference request : "instability" of analytic continuation

Integral of $\frac{z^5}{1-z^3}$ over $|z| = 2$

connection between winding number and topological degree

Calculate $\sum_{n=1}^\infty\frac{1}{n^2}$ and $\sum_{n=1}^\infty\frac{1}{n^4}$

New/useful method for summation of divergent series?

$f: \mathbb{D} \to \mathbb{D}$ holomorphic, $f(\frac{1}{2}) + f(-\frac{1}{2}) = 0$. Prove $|f(0)| \leq \frac{1}{4}$

the radius of convergence of a power series

maximum modulus principle; function bounded

if $f(z) = \sum a_n z^n$ is the power series of $f$, then $f$ is constant if

locally injective holomorphic function

Prove that this entire function $f$ is constant

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