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- 18:42, 5 July 2016 (diff | hist) . . (+151) . . Jacobi theta 3
- 18:41, 5 July 2016 (diff | hist) . . (+151) . . Jacobi theta 2
- 18:41, 5 July 2016 (diff | hist) . . (+341) . . N File:Complexjacobitheta3,q=0.5plot.png (Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: jtheta(3,x,0.5),[-4,4],[-4,4],points=50000,verbose=True) plt.title(r'Domain coloring of $\vartheta_3(z,1/2)$.')...) (current)
- 18:37, 5 July 2016 (diff | hist) . . (+341) . . N File:Complexjacobitheta2,q=0.5plot.png (Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: jtheta(2,x,0.5),[-4,4],[-4,4],points=50000,verbose=True) plt.title(r'Domain coloring of $\vartheta_2(z,1/2)$.')...) (current)
- 18:34, 5 July 2016 (diff | hist) . . (-1) . . Jacobi theta 1
- 18:33, 5 July 2016 (diff | hist) . . (+152) . . Jacobi theta 1
- 18:32, 5 July 2016 (diff | hist) . . (+341) . . N File:Complexjacobitheta1,q=0.5plot.png (Category:DomainColoring <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * cplot(lambda x: jtheta(1,x,0.5),[-4,4],[-4,4],points=50000,verbose=True) plt.title(r'Domain coloring of $\vartheta_1(z,1/2)$.')...) (current)
- 18:16, 5 July 2016 (diff | hist) . . (+15) . . Main Page
- 18:15, 5 July 2016 (diff | hist) . . (-16) . . Book:Earl David Rainville/Special Functions
- 18:15, 5 July 2016 (diff | hist) . . (+128) . . Book:Earl David Rainville/Special Functions
- 18:12, 5 July 2016 (diff | hist) . . (+6) . . Book:Earl David Rainville/Special Functions
- 18:08, 5 July 2016 (diff | hist) . . (+150) . . Riemann zeta
- 18:07, 5 July 2016 (diff | hist) . . (+84) . . Möbius
- 18:05, 5 July 2016 (diff | hist) . . (+2) . . Logarithm of a quotient of Jacobi theta 4 equals a sum of sines (current)
- 18:05, 5 July 2016 (diff | hist) . . (+2) . . Logarithm of quotient of Jacobi theta 3 equals a sum of sines (current)
- 18:05, 5 July 2016 (diff | hist) . . (+2) . . Logarithm of quotient of Jacobi theta 2 equals the log of a quotient of cosines + a sum of sines (current)
- 18:05, 5 July 2016 (diff | hist) . . (+2) . . Logarithm of quotient of Jacobi theta 1 equals the log of a quotient of sines + a sum of sines (current)
- 18:04, 5 July 2016 (diff | hist) . . (+2) . . Logarithmic derivative of Jacobi theta 4 equals a sum of sines (current)
- 18:04, 5 July 2016 (diff | hist) . . (+2) . . Logarithmic derivative of Jacobi theta 3 equals a sum of sines (current)
- 18:04, 5 July 2016 (diff | hist) . . (+2) . . Logarithmic derivative of Jacobi theta 2 equals negative tangent + a sum of sines (current)
- 18:04, 5 July 2016 (diff | hist) . . (+2) . . Logarithmic derivative of Jacobi theta 1 equals cotangent + a sum of sines (current)
- 18:04, 5 July 2016 (diff | hist) . . (+2) . . Derivative of Jacobi theta 1 at 0 (current)
- 18:04, 5 July 2016 (diff | hist) . . (+2) . . Sum of fourth powers of Jacobi theta 2 and Jacobi theta 4 equals fourth power of Jacobi theta 3 (current)
- 18:04, 5 July 2016 (diff | hist) . . (+2) . . Squares of theta relation for Jacobi theta 4 and Jacobi theta 4 (current)
- 18:03, 5 July 2016 (diff | hist) . . (+2) . . Squares of theta relation for Jacobi theta 3 and Jacobi theta 4 (current)
- 18:03, 5 July 2016 (diff | hist) . . (+2) . . Squares of theta relation for Jacobi theta 2 and Jacobi theta 4 (current)
- 18:03, 5 July 2016 (diff | hist) . . (+2) . . Squares of theta relation for Jacobi theta 1 and Jacobi theta 4 (current)
- 18:03, 5 July 2016 (diff | hist) . . (+2) . . Jacobi theta 1
- 18:03, 5 July 2016 (diff | hist) . . (+2) . . Jacobi theta 2
- 18:03, 5 July 2016 (diff | hist) . . (+2) . . Jacobi theta 3
- 18:03, 5 July 2016 (diff | hist) . . (+110) . . Jacobi theta 4
- 17:55, 5 July 2016 (diff | hist) . . (+116) . . Jacobi theta 3
- 17:54, 5 July 2016 (diff | hist) . . (+116) . . Jacobi theta 2
- 17:54, 5 July 2016 (diff | hist) . . (+109) . . Jacobi theta 1
- 06:04, 5 July 2016 (diff | hist) . . (+279) . . Riemann zeta
- 05:45, 5 July 2016 (diff | hist) . . (+1) . . Book:Edward Charles Titchmarsh/The Zeta-Function of Riemann
- 05:45, 5 July 2016 (diff | hist) . . (+1) . . Book:Edward Charles Titchmarsh/The Zeta-Function of Riemann
- 05:44, 5 July 2016 (diff | hist) . . (+466) . . Book:Edward Charles Titchmarsh/The Zeta-Function of Riemann
- 05:42, 5 July 2016 (diff | hist) . . (+2) . . Series for log(Riemann zeta) in terms of Mangoldt function (current)
- 05:42, 5 July 2016 (diff | hist) . . (+2) . . Series for log(riemann zeta) over primes
- 05:41, 5 July 2016 (diff | hist) . . (+6) . . Logarithmic derivative of Riemann zeta in terms of Mangoldt function
- 05:40, 5 July 2016 (diff | hist) . . (+484) . . N Logarithmic derivative of Riemann zeta in terms of Mangoldt function (Created page with "==Theorem== The following formula holds: $$\dfrac{\zeta'(z)}{\zeta(z)}=-\displaystyle\sum_{k=1}^{\infty} \dfrac{\Lambda(k)}{k^z},$$ where $\zeta$ denotes the Riemann zeta...")
- 05:38, 5 July 2016 (diff | hist) . . (+74) . . Logarithmic derivative of Riemann zeta in terms of series over primes
- 05:36, 5 July 2016 (diff | hist) . . (+504) . . N Logarithmic derivative of Riemann zeta in terms of series over primes (Created page with "==Theorem== The following formula holds: $$\dfrac{\zeta'(z)}{\zeta(z)}=-\displaystyle\sum_{p \hspace{2pt} \mathrm{prime}}\displaystyle\sum_{k=1}^{\infty} \dfrac{\log p}{p^{mz}...")
- 05:34, 5 July 2016 (diff | hist) . . (+69) . . Series for log(Riemann zeta) in terms of Mangoldt function
- 05:34, 5 July 2016 (diff | hist) . . (+444) . . N Series for log(Riemann zeta) in terms of Mangoldt function (Created page with "==Theorem== The following formula holds: $$\log\left( \zeta(z) \right)=\displaystyle\sum_{k=1}^{\infty} \dfrac{\Lambda(k)}{\log(k) k^z},$$ where $\log$ denotes the logarithm...")
- 05:32, 5 July 2016 (diff | hist) . . (+29) . . Series for log(riemann zeta) over primes
- 05:32, 5 July 2016 (diff | hist) . . (+501) . . N Series for log(riemann zeta) over primes (Created page with "==Theorem== The following formula holds: $$\log \left( \zeta(z) \right)=\displaystyle\sum_{p \hspace{2pt} \mathrm{prime}} \displaystyle\sum_{k=1}^{\infty} \dfrac{1}{kp^{mz}},$...")
- 05:29, 5 July 2016 (diff | hist) . . (+12) . . Euler product for Riemann zeta
- 05:23, 5 July 2016 (diff | hist) . . (+10) . . Hypergeometric pFq
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