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23 relations: Alain Connes, Big O notation, Erhard Schmidt, Explicit formulae (L-function), G. H. Hardy, Hans Carl Friedrich von Mangoldt, Harold Davenport, John Edensor Littlewood, Least common multiple, Logarithm, Mathematics, Pafnuty Chebyshev, Pierre Dusart, Prime number, Prime number theorem, Prime-counting function, Primorial, Riemann hypothesis, Riemann zeta function, Statistical mechanics, Taylor series, Von Mangoldt function, Zeros and poles.
Alain Connes
Alain Connes (born 1 April 1947) is a French mathematician, currently Professor at the Collège de France, IHÉS, Ohio State University and Vanderbilt University.
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Big O notation
Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.
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Erhard Schmidt
Erhard Schmidt (13 January 1876 – 6 December 1959) was a Baltic German mathematician whose work significantly influenced the direction of mathematics in the twentieth century.
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Explicit formulae (L-function)
In mathematics, the explicit formulae for L-functions are relations between sums over the complex number zeroes of an L-function and sums over prime powers, introduced by for the Riemann zeta function.
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G. H. Hardy
Godfrey Harold Hardy (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis.
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Hans Carl Friedrich von Mangoldt
Hans Carl Friedrich von Mangoldt (1854–1925) was a German mathematician who contributed to the solution of the prime number theorem.
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Harold Davenport
Harold Davenport FRS (30 October 1907 – 9 June 1969) was an English mathematician, known for his extensive work in number theory.
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John Edensor Littlewood
John Edensor Littlewood FRS LLD (9 June 1885 – 6 September 1977) was an English mathematician.
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Least common multiple
In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. Since division of integers by zero is undefined, this definition has meaning only if a and b are both different from zero.
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Logarithm
In mathematics, the logarithm is the inverse function to exponentiation.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Pafnuty Chebyshev
Pafnuty Lvovich Chebyshev (p) (–) was a Russian mathematician.
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Pierre Dusart
Pierre Dusart is a French mathematician at the Université de Limoges who specializes in number theory.
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Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
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Prime number theorem
In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers.
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Prime-counting function
In mathematics, the prime-counting function is the function counting the number of prime numbers less than or equal to some real number x. It is denoted by (x) (unrelated to the number pi).
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Primorial
In mathematics, and more particularly in number theory, primorial is a function from natural numbers to natural numbers similar to the factorial function, but rather than successively multiplying positive integers, only prime numbers are multiplied.
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Riemann hypothesis
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part.
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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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Statistical mechanics
Statistical mechanics is one of the pillars of modern physics.
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Taylor series
In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.
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Von Mangoldt function
In mathematics, the von Mangoldt function is an arithmetic function named after German mathematician Hans von Mangoldt.
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Zeros and poles
In mathematics, a zero of a function is a value such that.
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Chebyshev functions, Chebyshev's function, Mangoldt summatory function, Tchebysheff function, Tchebyshev function, Von Mangoldt summatory function.
References
[1] https://en.wikipedia.org/wiki/Chebyshev_function
