Examples of using Zeta function in English and their translations into Korean
{-}
-
Colloquial
-
Ecclesiastic
-
Ecclesiastic
-
Programming
-
Computer
The Fields Medal was awarded for his work on generalisations of the sieve methods of Viggo Brun, and for his major work on the zeros of the Riemann zeta function where he proved that a positive proportion of its zeros satisfy the Riemann hypothesis.
As a student of Titchmarsh in Oxford in the years immediately before the second world war it was natural that Guinand's research interests should be directed into the field of Fourier analysis and the Riemann zeta function….
The Rankin-Selberg method, the"mollifier" device in the theory of Riemann's zeta function with its deep applications to zeros on or near the critical line and with Selberg's sieve as a by-product,….
In Bombieri explains the source of Selberg's number theory sieve and shows that the idea of Selberg's l method and of his l 2 sieve has its origin in Selberg's work on the analytic theory of the Riemann zeta function.
His paper on entire functions and zeta functions was awarded first prize.
Zeta functions.
Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings.
One of Weil's major achievements was his proof of the Riemann hypothesis for the congruence zeta functions of algebraic function fields.
The topic proposed for the prize, concerning filling gaps in Riemann 's work on zeta functions, had been put forward by Hermite with his friend Stieltjes in mind.
obtained a result that is particularly associated with his name, when(inspired by Mordell and Davenport) he proved the analogue of the Riemann Hypothesis for zeta functions of elliptic curves.
And so on. The corresponding zeta function is.
These are called the trivial zeros of the zeta function.
Some of this important work on the zeta function was due to Bohr alone,
One day shortly after his paper on the Riemann zeta function appeared, he knocked at the door,
Selberg used his trace formula to prove that the"Selberg zeta function" of a Riemann surface satisfies an analogue of the Riemann hypothesis.
the Riemann zeta function, and the distribution of primes.
He also did important work on the Riemann zeta function writing The Zeta-Function of Riemann(1930) which he brought up-to-date as The Theory of the Riemann Zeta-Function(1951) which.
In 1922 he was elected to a fellowship at Trinity for a dissertation on the zeta function and his next four years were occupied only with research,
the Riemann zeta function, general Fourier type transformations, geometry and some papers on a variety of topics such as computing, air navigation, calculus of variations, the binomial theorem, determinants and special functions.
Guinand was convinced that these results could lead to more information about the Riemann zeta function, and he was disappointed that he was not able to advance further in this area and that others did not take up the possibility themselves.