N point Virasoro algebras are multi-point Krichever Novikov type algebras

Scientific Conference (2019, March 19)

N point Virasoro Algebras are multi-point Krichever-Novikov type algebras

Scientific Conference (2015, October 23)

N point Virasoro algebras considered as Krichever-Novikov type algebras

E-print/Working paper (2015)

We explain how the recently again discussed $N$-point Witt, Virasoro, and affine Lie algebras are genus zero examples of the multi-point versions of Krichever--Novikov type algebras as introduced and ... [more ▼]

We explain how the recently again discussed $N$-point Witt, Virasoro, and affine Lie algebras are genus zero examples of the multi-point versions of Krichever--Novikov type algebras as introduced and studied by Schlichenmaier. Using this more general point of view, useful structural insights and an easier access to calculations can be obtained. As example, explicit expressions for the three-point situation are given. This is a write-up of a talk presented at the Bialowieza meeting in 2015. Details can be found in a recent manuscript by the author. [less ▲]

The $n$-th prime asymptotically

in Journal de Théorie des Nombres de Bordeaux (2013)

A new derivation of the classic asymptotic expansion of the n-th prime is presented. A fast algorithm for the compu- tation of its terms is also given, which will be an improvement of that by Salvy (1994 ... [more ▼]

A new derivation of the classic asymptotic expansion of the n-th prime is presented. A fast algorithm for the compu- tation of its terms is also given, which will be an improvement of that by Salvy (1994). Realistic bounds for the error with $li−1 (n)$, after having re- tained the first $m$ terms, for $1 ≤ m ≤ 11$, are given. Finally, as- suming the Riemann Hypothesis, we give estimations of the best possible $r_3$ such that, for $n ≥ r_3$ , we have $p_n > s_3 (n)$ where $s_3 (n)$ is the sum of the first four terms of the asymptotic expansion. [less ▲]

N-Gram Based Test Sequence Generation from Finite State Models

Scientific Conference (2013, November 10)

N-point Virasoro algebras are multi-point Krichever--Novikov type algebras

E-print/Working paper (2015)

We show how the recently again discussed $N$-point Witt, Virasoro, and affine Lie algebras are genus zero examples of the multi-point versions of Krichever--Novikov type algebras as introduced and studied ... [more ▼]

We show how the recently again discussed $N$-point Witt, Virasoro, and affine Lie algebras are genus zero examples of the multi-point versions of Krichever--Novikov type algebras as introduced and studied by Schlichenmaier. Using this more general point of view, useful structural insights and an easier access to calculations can be obtained. The concept of almost-grading will yield information about triangular decompositions which are of importance in the theory of representations. As examples the algebra of functions, vector fields, differential operators, current algebras, affine Lie algebras, Lie superalgebras and their central extensions are studied. Very detailed calculations for the three-point case are given. [less ▲]

N-point Virasoro algebras are multi-point Krichever-Novikov type algebras

Scientific Conference (2015, June 28)

N-point Virasoro algebras are multi-point Krichever-Novikov type algebras

Scientific Conference (2016, December 12)

N-point Virasoro algebras are multi-point Krichever-Novikov type algebras

Scientific Conference (2016, July 25)

N-point Virasoro algebras are multipoint Krichever-Novikov-type algebras

in Communications in Algebra (2017), 45