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21 relations: Andrew Odlyzko, Apéry's constant, Apéry's theorem, Basel problem, Bernoulli number, Correlation function (statistical mechanics), Digamma function, Euler–Mascheroni constant, Generating function, Glaisher–Kinkelin constant, Harmonic series (mathematics), Heisenberg model (quantum), Lambert series, On-Line Encyclopedia of Integer Sequences, Riemann zeta function, Russian Mathematical Surveys, Simon Plouffe, Stefan–Boltzmann law, Wien approximation, Zeros and poles, 1 + 2 + 3 + 4 + ⋯.
Andrew Odlyzko
Andrew Michael Odlyzko (born 23 July 1949) is a mathematician and a former head of the University of Minnesota's Digital Technology Center and of the Minnesota Supercomputing Institute.
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Apéry's constant
In mathematics, at the intersection of number theory and special functions, Apéry's constant is defined as the number where is the Riemann zeta function.
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Apéry's theorem
In mathematics, Apéry's theorem is a result in number theory that states the Apéry's constant ζ(3) is irrational.
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Basel problem
The Basel problem is a problem in mathematical analysis with relevance to number theory, first posed by Pietro Mengoli in 1644 and solved by Leonhard Euler in 1734 and read on 5 December 1735 in ''The Saint Petersburg Academy of Sciences''.
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Bernoulli number
In mathematics, the Bernoulli numbers are a sequence of rational numbers which occur frequently in number theory.
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Correlation function (statistical mechanics)
In statistical mechanics, the correlation function is a measure of the order in a system, as characterized by a mathematical correlation function.
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Digamma function
In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: It is the first of the polygamma functions.
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Euler–Mascheroni constant
The Euler–Mascheroni constant (also called Euler's constant) is a mathematical constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma.
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Generating function
In mathematics, a generating function is a way of encoding an infinite sequence of numbers (an) by treating them as the coefficients of a power series.
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Glaisher–Kinkelin constant
In mathematics, the Glaisher–Kinkelin constant or Glaisher's constant, typically denoted A, is a mathematical constant, related to the K-function and the Barnes G-function.
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Harmonic series (mathematics)
In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are,,, etc., of the string's fundamental wavelength.
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Heisenberg model (quantum)
The Heisenberg model is a statistical mechanical model used in the study of critical points and phase transitions of magnetic systems, in which the spins of the magnetic systems are treated quantum mechanically.
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Lambert series
In mathematics, a Lambert series, named for Johann Heinrich Lambert, is a series taking the form It can be resummed formally by expanding the denominator: where the coefficients of the new series are given by the Dirichlet convolution of an with the constant function 1(n).
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On-Line Encyclopedia of Integer Sequences
The On-Line Encyclopedia of Integer Sequences (OEIS), also cited simply as Sloane's, is an online database of integer sequences.
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Riemann zeta function
The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.
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Russian Mathematical Surveys
Uspekhi Matematicheskikh Nauk (Успехи математических наук) is a Russian mathematical journal, published by the Russian Academy of Sciences and Moscow Mathematical Society and translated into English as Russian Mathematical Surveys.
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Simon Plouffe
Simon Plouffe (born June 11, 1956, Saint-Jovite, Quebec) is a mathematician who discovered the Bailey–Borwein–Plouffe formula (BBP algorithm) which permits the computation of the nth binary digit of π, in 1995.
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Stefan–Boltzmann law
The Stefan–Boltzmann law describes the power radiated from a black body in terms of its temperature.
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Wien approximation
Wien's approximation (also sometimes called Wien's law or the Wien distribution law) is a law of physics used to describe the spectrum of thermal radiation (frequently called the blackbody function).
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Zeros and poles
In mathematics, a zero of a function is a value such that.
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1 + 2 + 3 + 4 + ⋯
The infinite series whose terms are the natural numbers is a divergent series.
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References
[1] https://en.wikipedia.org/wiki/Particular_values_of_the_Riemann_zeta_function
