User contributions for AliceInNumberland
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16 August 2018
- 22:1122:11, 16 August 2018 diff hist +1 m Exponential of Series Equals Infinite Product No edit summary
- 22:0122:01, 16 August 2018 diff hist −1 m Complex Modulus of Quotient of Complex Numbers No edit summary
17 June 2018
- 23:2423:24, 17 June 2018 diff hist −1 m Sum of Reciprocals of Primes is Divergent/Proof 2 No edit summary
16 June 2018
- 13:2113:21, 16 June 2018 diff hist 0 m Riemann Zeta Function at Even Integers/Proof 2 Mislabelled variable
- 07:4007:40, 16 June 2018 diff hist −1,218 Riemann Zeta Function at Even Integers No edit summary
- 07:3407:34, 16 June 2018 diff hist +1,531 N Riemann Zeta Function at Even Integers/Proof 1 Created page with "==Theorem== {{:Riemann Zeta Function at Even Integers}} ==Proof== <onlyinclude> === Lemma === {{:Riemann Zeta Function at Eve..."
- 07:3107:31, 16 June 2018 diff hist +7,648 N Riemann Zeta Function at Even Integers/Proof 2 It may look like I'm missing a lot of links, but really 98% of the proof is algebra. I'm not good enough at latex to know how to make it less scary looking. No source as I discovered this on my own.
- 05:1105:11, 16 June 2018 diff hist +27 m Riemann Zeta Function at Even Integers No edit summary
- 04:4504:45, 16 June 2018 diff hist −2,338 Sum of Bernoulli Numbers by Power of Two and Binomial Coefficient No edit summary
- 04:4404:44, 16 June 2018 diff hist +28 m Sum of Bernoulli Numbers by Power of Two and Binomial Coefficient/Proof 2 No edit summary
- 04:4304:43, 16 June 2018 diff hist +2,761 N Sum of Bernoulli Numbers by Power of Two and Binomial Coefficient/Proof 2 Created page with "== Theorem == {{:Sum of Bernoulli Numbers by Power of Two and Binomial Coefficient}} == Proof == The proof proceeds by induction. Fo..."
- 04:3804:38, 16 June 2018 diff hist +1,547 N Sum of Bernoulli Numbers by Power of Two and Binomial Coefficient/Proof 1 Created page with "== Theorem == {{:Sum of Bernoulli Numbers by Power of Two and Binomial Coefficient}} == Proof == <onlyinclude> Let $B_{k}$ denote the kth Definition:Bernoulli Numbers|Berno..."
- 04:2404:24, 16 June 2018 diff hist +27 m Sum of Bernoulli Numbers by Power of Two and Binomial Coefficient No edit summary
14 June 2018
- 05:4005:40, 14 June 2018 diff hist +3 m User:AliceInNumberland No edit summary current
- 05:3805:38, 14 June 2018 diff hist −409 Value of Odd Bernoulli Polynomial at One Half Missed a much simpler proof earlier.
- 03:4903:49, 14 June 2018 diff hist +1,093 N Value of Odd Bernoulli Polynomial at One Half Created page with "==Theorem== Let $B_n\left(x\right)$ denote the nth Bernoulli polynomial Then $B_{2n+1}\left(\frac 1 2 \right) = 0$ ==Proof== By Symme..."
- 03:3003:30, 14 June 2018 diff hist +940 N Symmetry of Bernoulli Polynomial Created page with "==Theorem== Let $B_n\left(x\right)$ denote the nth Bernoulli Polynomial :$ B_n\left(1-x\right) = \left(-1\right)^n B_n\left(x\right)$..."
- 03:0703:07, 14 June 2018 diff hist +47 Definition:Bernoulli Polynomial No edit summary
- 03:0603:06, 14 June 2018 diff hist +45 N Category:Definitions/Bernoulli Polynomials Created page with "{{DefinitionCategory|Number Theory|Analysis}}"
- 03:0403:04, 14 June 2018 diff hist +35 Generating Function for Bernoulli Polynomials No edit summary
- 03:0203:02, 14 June 2018 diff hist +69 N Category:Bernoulli Polynomials Created page with "{{SubjectCategory}} Category:Number Theory Category:Analysis"
- 03:0203:02, 14 June 2018 diff hist 0 m Definition:Bernoulli Polynomial No edit summary
- 03:0003:00, 14 June 2018 diff hist +14 m Definition:Bernoulli Polynomial No edit summary
- 02:5702:57, 14 June 2018 diff hist +1,549 N Generating Function for Bernoulli Polynomials Created page with "== Theorem == Let $B_n\left(x\right)$ denote the nth Bernoulli polynomial Then {{begin-eqn}} {{eqn | l = \frac {te^{tx} } {e^t - 1}..."
- 02:3302:33, 14 June 2018 diff hist +694 N Definition:Bernoulli Polynomial Created page with "== Definition == <onlyinclude> The '''Bernoulli polynomials''' $B_n\left(x\right)$ are a sequence of polynomial defined by:..."
12 June 2018
- 21:5821:58, 12 June 2018 diff hist +1 m Mittag-Leffler Expansion for Cotangent Function/Proof 2 No edit summary
- 21:5721:57, 12 June 2018 diff hist +21 m Mittag-Leffler Expansion for Cotangent Function/Proof 2 No edit summary
- 21:5421:54, 12 June 2018 diff hist +1 m Mittag-Leffler Expansion for Cotangent Function/Proof 2 No edit summary
- 21:5321:53, 12 June 2018 diff hist −1,089 Mittag-Leffler Expansion for Cotangent Function No edit summary
- 21:5221:52, 12 June 2018 diff hist +1,318 N Mittag-Leffler Expansion for Cotangent Function/Proof 1 Created page with "== Theorem == {{:Laurent Series Expansion for Cotangent Function}} == Proof == <onlyinclude> Let $\mathcal L$ denote the Definition:Logarithmic Derivative of Meromorphic Fu..."
- 21:4721:47, 12 June 2018 diff hist +3 m Mittag-Leffler Expansion for Cotangent Function/Proof 2 No edit summary
- 21:4721:47, 12 June 2018 diff hist +134 Mittag-Leffler Expansion for Cotangent Function No edit summary
- 21:4421:44, 12 June 2018 diff hist +2,172 N Mittag-Leffler Expansion for Cotangent Function/Proof 2 Created page with "== Theorem == {{:Laurent Series Expansion for Cotangent Function}} == Proof == <onlyinclude> Let $\zeta\left(s\right)$ be the Definition:Riemann Zeta Function|Riemann zeta..."
- 21:1021:10, 12 June 2018 diff hist −4 m Power Series Expansion for Cotangent Function No edit summary
- 03:2403:24, 12 June 2018 diff hist +36 m Analytic Continuation of Generating Function of Dirichlet Series No edit summary
- 03:2203:22, 12 June 2018 diff hist +5,666 N Analytic Continuation of Generating Function of Dirichlet Series Missing one link, as there is not a page combining the results of Fubini's and Tonelli's Theorems. I'll get around to that soon. No source as I discovered this myself.
2 June 2018
- 00:1400:14, 2 June 2018 diff hist −147 m Definition:Dirichlet Character Added links
30 May 2018
- 02:5702:57, 30 May 2018 diff hist +3 m User talk:Prime.mover No edit summary
- 00:1300:13, 30 May 2018 diff hist +857 User talk:Prime.mover No edit summary
29 May 2018
- 23:1123:11, 29 May 2018 diff hist 0 m Definition:Half-Plane of Convergence nevermind i just don't know how templates work
- 22:3922:39, 29 May 2018 diff hist +467 N Definition:Half-Plane of Convergence For some reason the springer template doesn't handle underscores in urls well and instead just puts a space there. So the link is dead.
- 21:5021:50, 29 May 2018 diff hist +10 m Uniform Convergence of General Dirichlet Series No edit summary
- 21:1621:16, 29 May 2018 diff hist +368 Definition:Abscissa of Convergence Fixed definition to match the structure of the page on radius of convergence. Added source for definition. Changed Category of page to the general case as the definitions are the same both.
28 May 2018
- 19:2719:27, 28 May 2018 diff hist +5,801 N Uniform Convergence of General Dirichlet Series Created page with "== Theorem == Let $\arg\left(z\right)$ be the argument of z Let $\displaystyle f \left({s}\right) = \sum_{n \mathop = 1}^\infty a_..."
- 17:4617:46, 28 May 2018 diff hist +616 Dirichlet Series Convergence Lemma Fixed the proof and removed handwaving
- 17:1817:18, 28 May 2018 diff hist +1,157 Dirichlet Series Convergence Lemma/Lemma Fixed the proof, it follows the broad strokes of the cited source, with a few modifications to make it more elementary, as that is the objective of proving it in the ordinary sense
- 03:0003:00, 28 May 2018 diff hist −52 m Talk:Dirichlet Series Convergence Lemma/Lemma No edit summary
- 02:5702:57, 28 May 2018 diff hist +114 Talk:Dirichlet Series Convergence Lemma/Lemma No edit summary
- 02:5402:54, 28 May 2018 diff hist +1,855 N Talk:Dirichlet Series Convergence Lemma/Lemma Created page with "The sublemma as stated cannot be true as it would mean an ordinary dirichlet series is uniformly convergent on any halfplane bounded away from its abscissa of convergence, whi..."
- 01:2601:26, 28 May 2018 diff hist +11 m Bound on Complex Values of Gamma Function No edit summary