Examples of using Zeta function in English and their translations into Korean
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Zeta function.
Riemann zeta function.
Zeta function(disambiguation).
Hurwitz zeta function.
Zeta function regularization.
Dedekind zeta function.
Zeta function regularization.
Hasse-Weil zeta function.
His work was in number theory, in particular the zeta function.
Weil zeta function.
In it Riemann examined the zeta function.
The zeta function can be thought of as the determinant of the resolvent.
Gram also worked on the Riemann zeta function.
The Ihara zeta function is defined as the analytic continuation of the infinite product.
In 1914 they proved the Bohr- Landau theorem on the distribution of zeros of the zeta function.
The Riemann zeta function can be thought of as the archetype for all L-functions.[1].
First, the analogue of the Riemann conjecture for the zeta function of a curve over finite fields.
The third of his conjectures was a generalisation of the Riemann hypothesis on the zeta function.
Collecting the constants into a value of the Riemann zeta function, we can write an asymptotic expansion.
He studied the Riemann zeta function, and its extension to arbitrary number fields, discovering important results.
He also published papers on the gamma function, the zeta function and partial differential equations.
He collaborated with Edmund Landau,who was at this time at Göttingen, in studying the Riemann zeta function.
Selberg's trace formula,Selberg's zeta function,… automorphic functions, Dirichlet series.
Other than the prime number theorem, Vallée Poussin's only contributions to prime numbers were contained in two papers on the Riemann zeta function which he published in 1916.
Ingham's work was on the Riemann zeta function, the theory of numbers, the theory of series and Tauberian theorems.
For 35 years he collaborated with G H Hardy working on the theory of series,the Riemann zeta function, inequalities, and the theory of functions. .
In the paper he stated that the zeta function had infinitely many nontrivial roots and that it seemed probable that they all have real part 1/2.
Bohr and Landau proved that all but an infinitesimal proportion of the zeros of the zeta function lie in a small neighbourhood of the line s= 1 /2.
In England he began studying the zeta function and this, like almost periodic functions, was to be a continuing interest throughout his life.
Riemann considered a very different question to the one Euler had considered,for he looked at the zeta function as a complex function rather than a real one.