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- 06:35, 22 June 2016 (diff | hist) . . (+37) . . Riemann zeta
- 06:35, 22 June 2016 (diff | hist) . . (+37) . . Prime counting (current)
- 06:35, 22 June 2016 (diff | hist) . . (+37) . . Liouville lambda (current)
- 06:35, 22 June 2016 (diff | hist) . . (0) . . m Möbius (Tom moved page Möbius function to Möbius over redirect)
- 06:35, 22 June 2016 (diff | hist) . . (+21) . . N Möbius function (Tom moved page Möbius function to Möbius over redirect) (current)
- 06:34, 22 June 2016 (diff | hist) . . (+10) . . Möbius
- 06:34, 22 June 2016 (diff | hist) . . (+37) . . Möbius
- 06:34, 22 June 2016 (diff | hist) . . (+65) . . Mertens
- 06:34, 22 June 2016 (diff | hist) . . (+37) . . Mangoldt
- 06:34, 22 June 2016 (diff | hist) . . (+37) . . Greatest prime factor (current)
- 06:33, 22 June 2016 (diff | hist) . . (+37) . . Euler phi (current)
- 06:23, 22 June 2016 (diff | hist) . . (0) . . File:Chebyshevthetaplot.png (Tom uploaded a new version of "File:Chebyshevthetaplot.png") (current)
- 06:20, 22 June 2016 (diff | hist) . . (-3) . . File:Chebyshevthetaplot.png
- 06:20, 22 June 2016 (diff | hist) . . (0) . . m File:Chebyshevthetaplot.png (Tom moved page File:Chebyshevvarthetaplot.png to File:Chebyshevthetaplot.png)
- 06:20, 22 June 2016 (diff | hist) . . (+41) . . N File:Chebyshevvarthetaplot.png (Tom moved page File:Chebyshevvarthetaplot.png to File:Chebyshevthetaplot.png) (current)
- 06:20, 22 June 2016 (diff | hist) . . (+1,669) . . N File:Chebyshevthetaplot.png (Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 def isValid ( n ): if (n <=0): ret...)
- 06:18, 22 June 2016 (diff | hist) . . (+20) . . Main Page (→Gamma function and friends)
- 06:01, 22 June 2016 (diff | hist) . . (+14) . . Mangoldt
- 05:59, 22 June 2016 (diff | hist) . . (0) . . Mangoldt
- 05:58, 22 June 2016 (diff | hist) . . (+93) . . Mangoldt
- 05:57, 22 June 2016 (diff | hist) . . (+1,294) . . N File:Mangoldtplot.png (Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 def isValid ( n ): if (n <=0): ret...) (current)
- 05:45, 22 June 2016 (diff | hist) . . (+16) . . Number theory functions footer
- 05:44, 22 June 2016 (diff | hist) . . (+1,691) . . N File:Mangoldtglyph.png (Category:Mangoldtglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def isValid ( n ): if (n <=0):...) (current)
- 05:25, 22 June 2016 (diff | hist) . . (+45) . . Number theory functions footer
- 05:24, 22 June 2016 (diff | hist) . . (+1,057) . . N File:Gpfglyph.png (Category:greatestprimefactorglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def gpf(n): i = 2 whi...) (current)
- 05:21, 22 June 2016 (diff | hist) . . (+28) . . Greatest prime factor
- 05:20, 22 June 2016 (diff | hist) . . (-158) . . Greatest prime factor
- 05:19, 22 June 2016 (diff | hist) . . (+672) . . N File:Greatestprimefactor,to1000.png (Category:Plot <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 10, 10 def gpf(n): i = 2 while i * i <= n:...) (current)
- 05:11, 22 June 2016 (diff | hist) . . (+35) . . Number theory functions footer
- 05:10, 22 June 2016 (diff | hist) . . (+862) . . N File:Primecountingglyph.png (Category:primecountingglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 x=np.arange(0,500,1) f=np.vectorize(primepi) y=f(x) x2=np.a...) (current)
- 05:02, 22 June 2016 (diff | hist) . . (+22) . . Number theory functions footer
- 05:00, 22 June 2016 (diff | hist) . . (+1,352) . . N File:Totientglyph.png (Category:totientglyph <pre>#!/usr/bin/python import numpy as np import matplotlib.pyplot as plt import fractions from mpmath import * from pylab import rcParams rcParams['figure.figsize'] = 2.4,2.4 def totient(n): amount = 0 for k...) (current)
- 04:51, 22 June 2016 (diff | hist) . . (+341) . . Book:Milton Abramowitz/Handbook of mathematical functions
- 04:50, 22 June 2016 (diff | hist) . . (+9) . . Euler totient is multiplicative (current)
- 04:50, 22 June 2016 (diff | hist) . . (+9) . . Product representation of totient (current)
- 04:50, 22 June 2016 (diff | hist) . . (+9) . . Sum of totient equals z/((1-z) squared) (current)
- 04:49, 22 June 2016 (diff | hist) . . (+9) . . Sum of totient equals zeta(z-1)/zeta(z) for Re(z) greater than 2 (current)
- 04:49, 22 June 2016 (diff | hist) . . (+9) . . Euler totient
- 04:48, 22 June 2016 (diff | hist) . . (+7) . . Sum of totient equals zeta(z-1)/zeta(z) for Re(z) greater than 2
- 04:47, 22 June 2016 (diff | hist) . . (-7) . . Euler totient
- 04:47, 22 June 2016 (diff | hist) . . (+218) . . Euler totient
- 04:46, 22 June 2016 (diff | hist) . . (+314) . . N Euler totient is multiplicative (Created page with "==Theorem== The totient is a multiplicative function. ==Proof== ==References== * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowi...")
- 04:43, 22 June 2016 (diff | hist) . . (+484) . . N Product representation of totient (Created page with "==Theorem== The following formula holds for distinct primes $p$ dividing $n$: $$\phi(n)=n \displaystyle\prod_{p | n} \left[ 1 - \dfrac{1}{p} \right],$$ where $\phi...")
- 04:39, 22 June 2016 (diff | hist) . . (+33) . . Sum of totient equals z/((1-z) squared)
- 04:39, 22 June 2016 (diff | hist) . . (0) . . Sum of totient equals z/((1-z) squared)
- 04:35, 22 June 2016 (diff | hist) . . (+453) . . N Sum of totient equals z/((1-z) squared) (Created page with "==Theorem== The following formula holds for $|z|<1$: $$\displaystyle\sum_{k=1}^{\infty} \dfrac{\phi(k)x^k}{1-x^k}= \dfrac{x}{(1-x)^2} ,$$ where $\phi$ denotes the Euler toti...")
- 04:31, 22 June 2016 (diff | hist) . . (+39) . . Sum of totient equals zeta(z-1)/zeta(z) for Re(z) greater than 2
- 04:30, 22 June 2016 (diff | hist) . . (+463) . . N Sum of totient equals zeta(z-1)/zeta(z) for Re(z) greater than 2 (Created page with "==Theorem== The following formula holds for $\mathrm{Re}(z) > 2$: $$\displaystyle\sum_{k=1}^{\infty} \dfrac{\phi(k)}{k^z} = \dfrac{\zeta(z-1)}{\zeta(z)},$$ where $\phi$ denote...")
- 04:28, 22 June 2016 (diff | hist) . . (+99) . . Euler totient
- 04:22, 22 June 2016 (diff | hist) . . (-57) . . Euler totient
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