What is the translation of " ZETA-FUNKTION " in English?

• zeta function
• zeta-function

Examples of using Zeta-funktion in Danish and their translations into English

I det Riemann undersøgt zeta-funktion.
In it Riemann examined the zeta function.

I 1737 han vist tilslutningen af zeta-funktion med den række af primtal giver den berømte relation.
In 1737 he proved the connection of the zeta function with the series of prime numbers giving the famous relation.

Gram også arbejdet på Riemann zeta-funktion.
Gram also worked on the Riemann zeta function.

Ingham's arbejde var på Riemann zeta-funktion, teorien om tal, teorien om serien og Tauberian teoremer.
Ingham's work was on the Riemann zeta function, the theory of numbers, the theory of series and Tauberian theorems.

Hans arbejde var i talteori, især zeta-funktion.
His work was in number theory, in particular the zeta function.

Også den Lerch zeta-funktion er et velkendt generalisering af Riemann's zeta-funktion på grund af ham….
Also, the Lerch zeta-function is a well-known generalization of Riemann 's zeta-function due to him….

I 1914 de bevist Bohr-Landau teorem om fordelingen af nuller af zeta-funktion.
In 1914 they proved the Bohr- Landau theorem on the distribution of zeros of the zeta function.

Nogle af dette vigtige arbejde på zeta-funktion skyldtes Bohr alene, nogle kom fra samarbejde med Landau.
Some of this important work on the zeta function was due to Bohr alone, some came from the collaboration with Landau.

Mange flere papirer om formelle grupper følges, navnlig vedrørende dem til zeta-funktion.
Many more papers on formal groups followed, in particular relating them to the zeta function.

Han offentliggjorde også papirer om gamma-funktionen, zeta-funktion og partielle differentialligninger.
He also published papers on the gamma function, the zeta function and partial differential equations.

Den tredje af hans conjectures var en generalisering af Riemann hypotesen om zeta-funktion.
The third of his conjectures was a generalisation of the Riemann hypothesis on the zeta function.

Han studerede Riemann zeta-funktion, og dens udvidelse til vilkårligt antal felter, opdager vigtige resultater.
He studied the Riemann zeta function, and its extension to arbitrary number fields, discovering important results.

Han har samarbejdet med Edmund Landau, der var på dette tidspunkt, Göttingen, studerer de Riemann zeta-funktion.
He collaborated with Edmund Landau, who was at this time at Göttingen, in studying the Riemann zeta function.

Rota skriver: En dag kort efter hans papir på Riemann zeta-funktion syntes, han bankede på døren, trådte i og sad ned.
Rota writes: One day shortly after his paper on the Riemann zeta function appeared, he knocked at the door, came in, and sat down.

Ramanujan udarbejdet Riemann serien, elliptisk integrals, hypergeometric serien og funktionelle ligninger af zeta-funktion.
Ramanujan worked out the Riemann series, the elliptic integrals, hypergeometric series and functional equations of the zeta function.

Heilbronn også offentliggjort resultater på Epstein zeta-funktion viser, at Riemann Hypotese mislykkes for denne zeta-funktion.
Heilbronn also published results on the Epstein zeta-function showing that the Riemann Hypothesis fails for this zeta function.

Andre end de primtal sætning, Vallée Poussin's eneste bidrag til prime numre var indeholdt i to papirer om Riemann zeta-funktion, som han offentliggjorde i 1916.
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.

I anerkendelse af hans skelnes research om Riemann zeta-funktion, analytisk teori om tal, Fourier analyse og eigenfunction udvidelser.
In recognition of his distinguished researches on the Riemann zeta-function, analytic theory of numbers, Fourier analysis and eigenfunction expansions.

Også den Lerch zeta-funktion er et velkendt generalisering af Riemann's zeta-funktion på grund af ham… dette bidrag til analytisk talteori[er] offentliggjort i Acta Mathematica i 1887.
Also, the Lerch zeta-function is a well-known generalization of Riemann 's zeta-function due to him… this contribution to analytic number theory[is] published in Acta Mathematica in 1887.

Riemann studeres konvergensen af rækken repræsentation af zeta-funktion og fundet en funktionel ligning for zeta-funktion.
Riemann studied the convergence of the series representation of the zeta function and found a functional equation for the zeta function.

I papiret Weil analyserer noter i bogen, som Eisenstein og conjectures at Riemann modtaget idéer i samtaler med Eisenstein, der førte til hans berømte papir om zeta-funktion.
In the paper Weil examines the annotations in the book made by Eisenstein and conjectures that Riemann received ideas in conversations with Eisenstein which led to his famous paper on the zeta function.

I England begyndte han at studere zeta-funktion, og dette, ligesom næsten periodiske funktioner, skulle være en vedvarende interesse i hele sit liv.
In England he began studying the zeta function and this, like almost periodic functions, was to be a continuing interest throughout his life.

For 35 år, han har samarbejdet med GH Hardy arbejder på teorien om serien, Riemann zeta-funktion, uligheder, og teorien om funktioner.
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..

I det papir, han erklærede, at zeta-funktion havde uendeligt mange nontrivial rødder, og at det virkede sandsynligt, at de alle har en reel del 1/ 2.
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.

I anerkendelse af hans fremtrædende bidrag til mange grene af analysen, herunder Tauberian teori, Riemann zeta-funktion, og ikke-lineære differentialligninger.
In recognition of his distinguished contributions to many branches of analysis, including Tauberian theory, the Riemann zeta-function, and non-linear differential equations.

Han gjorde vigtige arbejde på Riemann zeta-funktion skriftligt Zeta-Funktion af Riemann(1930) som han bragt up-to-date som teorien om Riemann Zeta-Funktion(1951) som.
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.

Han har også modtaget Copley Medal of Society i 1958:… i anerkendelse af hans fremtrædende bidrag til mange grene af analysen, herunder Tauberian teori, Riemann zeta-funktion, og ikke-lineære differentialligninger.
He also received the Copley Medal of the Society in 1958:… in recognition of his distinguished contributions to many branches of analysis, including Tauberian theory, the Riemann zeta-function, and non-linear differential equations.

Faktisk Turán opfundet magt summen metode samtidig undersøge zeta funktion, og han først brugte metode til at vise resultater om nuller af zeta-funktion.
In fact Turán invented the power sum method while investigating the zeta function and he first used the method to prove results about the zeros of the zeta function.

Han anvendt denne teknik systematisk i en lang række papirer til undersøgelse af gamma-funktionen, hypergeometric funktioner, Dirichlet serien, Riemann zeta-funktion og beslægtede antal-theoretic funktioner.
He applied this technique systematically in a long series of papers to the study of the gamma function, hypergeometric functions, Dirichlet series, the Riemann zeta function and related number-theoretic functions..

I 1922 blev han valgt til et stipendium på Trinity for en afhandling om zeta-funktion og hans næste fire år blev besat kun med forskning, et par måneder, som blev brugt i Göttingen.
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, a few months of which were spent at Göttingen.