Team, Place & City Details

Selberg trace formula

In mathematics, the Selberg trace formula, introduced by Selberg , is an expression for the character of the unitary representation of G on the space L2(G/Γ) of square-integrable functions, where G is a Lie group and Γ a cofinite discrete group. The character is given by the trace of certain functions on G. The simplest case is when Γ is cocompact, when the representation breaks up into discrete summands.

Selberg class

In mathematics, the Selberg class is an axiomatic definition of a class of L-functions. The members of the class are Dirichlet series which obey four axioms that seem to capture the essential properties satisfied by most functions that are commonly called L-functions or zeta functions.

Selberg zeta function

The Selberg zeta-function was introduced by Atle Selberg . It is analogous to the famous Riemann zeta function ζ ( s ) = ∏ p ∈ P 1 1 − p − s {\displaystyle \zeta (s)=\prod _{p\in \mathbb {P} }{\frac {1}{1-p^{-s}}}} where P {\displaystyle \mathbb {P} } is the set of prime numbers.

Selberg integral

In mathematics the Selberg integral is a generalization of Euler beta function to n dimensions introduced by Atle Selberg .

Selberg sieve
Selberg sieve

In mathematics, in the field of number theory, the Selberg sieve is a technique for estimating the size of "sifted sets" of positive integers which satisfy a set of conditions which are expressed by congruences. It was developed by Atle Selberg in the 1940s.

Selberg's zeta function conjecture

In mathematics, the Selberg conjecture, named after Atle Selberg, is a theorem about the density of zeros of the Riemann zeta function ζ. It is known that the function has infinitely many zeroes on this line in the complex plane: the point at issue is how densely they are clustered.

Selberg's 1/4 conjecture

In mathematics, Selberg's conjecture, conjectured by Selberg , states that the eigenvalues of the Laplace operator on Maass wave forms of congruence subgroups are at least 1/4.

Selberg's identity

In number theory, Selberg's identity is an approximate identity involving logarithms of primes found by Selberg . Selberg and Erdős both used this identity to given elementary proofs of the prime number theorem.

Selberg (Kusel)
Selberg (Kusel)

The Selberg is a hill, 545.1 m, in the county of Kusel in the German state of Rhineland-Palatinate. It is part of the North Palatine Uplands and is a southern outlier of the Königsberg.

Riemann hypothesis
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 1/2. It was proposed by Bernhard Riemann , after whom it is named.

Memmingen
Memmingen

Memmingen is a town in Swabia, Bavaria, Germany. It is the economic, educational and administrative centre of the Danube-Iller region.

Memmingen Airport
Memmingen Airport

Memmingen Airport , also known as Allgäu Airport Memmingen, is an international airport in the town of Memmingerberg near Memmingen, the third-largest city in the Swabia region of Bavaria. It is the smallest of the three commercial airports in the state after Munich Airport and Nuremberg Airport and has the highest altitude of any commercial airport in Germany.

Memmingen station
Memmingen station

Memmingen station in the city of Memmingen in the German state of Bavaria. The current station building had two predecessors, with the original being opened in 1862.