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18 relations: Analytic function, Asymptotic expansion, Complex number, Dover Publications, Euler–Mascheroni constant, Even and odd functions, Gamma function, Holomorphic function, Jørgen Pedersen Gram, Logarithm, Mathematics, Polygamma function, Principal branch, Real number, Riemann hypothesis, Riemann zeta function, University of Göttingen, Z function.
Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series.
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Asymptotic expansion
In mathematics, an asymptotic expansion, asymptotic series or Poincaré expansion (after Henri Poincaré) is a formal series of functions which has the property that truncating the series after a finite number of terms provides an approximation to a given function as the argument of the function tends towards a particular, often infinite, point.
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Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
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Dover Publications
Dover Publications, also known as Dover Books, is an American book publisher founded in 1941 by Hayward Cirker and his wife, Blanche.
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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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Even and odd functions
In mathematics, even functions and odd functions are functions which satisfy particular symmetry relations, with respect to taking additive inverses.
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Gamma function
In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.
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Holomorphic function
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighborhood of every point in its domain.
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Jørgen Pedersen Gram
Jørgen Pedersen Gram (27 June 1850 – 29 April 1916) was a Danish actuary and mathematician who was born in Nustrup, Duchy of Schleswig, Denmark and died in Copenhagen, Denmark.
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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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Polygamma function
In mathematics, the polygamma function of order is a meromorphic function on '''ℂ''' and defined as the th derivative of the logarithm of the gamma function: Thus holds where is the digamma function and is the gamma function.
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Principal branch
In mathematics, a principal branch is a function which selects one branch ("slice") of a multi-valued function.
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Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
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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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University of Göttingen
The University of Göttingen (Georg-August-Universität Göttingen, GAU, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany.
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Z function
In mathematics, the Z-function is a function used for studying the Riemann zeta-function along the critical line where the argument is one-half.
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Gram point, Gram points, Gram's law, Riemann Siegel theta function, Riemann-Siegel theta function.
References
[1] https://en.wikipedia.org/wiki/Riemann–Siegel_theta_function
