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Mellin transform and Riemann zeta function

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Mellin transform and Riemann zeta function

Mellin transform vs. Riemann zeta function

In mathematics, the Mellin transform is an integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform. 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.

Similarities between Mellin transform and Riemann zeta function

Mellin transform and Riemann zeta function have 4 things in common (in Unionpedia): Dirichlet series, Gamma function, Prime-counting function, Quantum field theory.

Dirichlet series

In mathematics, a Dirichlet series is any series of the form where s is complex, and a_n is a complex sequence.

Dirichlet series and Mellin transform · Dirichlet series and Riemann zeta function · See more »

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.

Gamma function and Mellin transform · Gamma function and Riemann zeta function · See more »

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).

Mellin transform and Prime-counting function · Prime-counting function and Riemann zeta function · See more »

Quantum field theory

In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.

Mellin transform and Quantum field theory · Quantum field theory and Riemann zeta function · See more »

The list above answers the following questions

Mellin transform and Riemann zeta function Comparison

Mellin transform has 46 relations, while Riemann zeta function has 137. As they have in common 4, the Jaccard index is 2.19% = 4 / (46 + 137).

References

This article shows the relationship between Mellin transform and Riemann zeta function. To access each article from which the information was extracted, please visit:

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