Concept

Prime-counting function

Related publications (19)

Some applications of the Weil-Barner explicit formula

The Weil-Barner explicit formula is applied to the prime counting function and to the problem of numerical partial verification of the Riemann hypothesis. ...

Wiley-V C H Verlag Gmbh2013

The functor of p-permutation modules for abelian groups

Mélanie Baumann

Let k be a field of characteristic p, where p is a prime number, let pp_k(G) be the Grothendieck group of p-permutation kG-modules, where G is a finite group, and let Cpp_k(G) be pp_k(G) tensored with the field of complex numbers C. In this article, we fin ...

Elsevier2013

Le foncteur de bi-ensembles des modules de p-permutation

Mélanie Baumann

Let k be an algebraically closed field of characteristic p, where p is a prime number or 0. Let G be a finite group and ppk(G) be the Grothendieck group of p-permutation kG-modules. If we tensor it with C, then Cppk becomes a C-linear biset functor. Recall ...

EPFL2012

The primitive idempotents of the p-permutation ring

Jacques Thévenaz, Serge Bouc

Let G be a finite group, let p be a prime number, and let K be a field of characteristic 0 and k be a field of characteristic p, both large enough. In this note, we state explicit formulae for the primitive idempotents of the ring of p-permutation kG-modul ...

Elsevier2010

On the essential dimension of cyclic p-groups

Let p be a prime number, let K be a field of characteristic not p, containing the p-th roots of unity, and let r >= 1 be an integer. We compute the essential dimension of Z/p(r) Z over K (Theorem 4.1). In particular, i) We have edℚ(ℤ/8ℤ)=4, a result which ...

Springer-Verlag2008

Study of B̄0→D0π+π- decays

Olivier Schneider, Aurelio Bay, Mingkui Wang, Chao Wang, Tagir Aushev, Lei Zhang, Vladislav Balagura

We report the results of a study of neutral B meson decays to the D0π+π- final state, where the D0 is fully reconstructed. The results are obtained from an event sample containing 388×106 BB̄-meson pairs collected in the Belle experiment at the KEKB e+e- c ...

American Physical Society2007

Le carré de la fonction des diviseurs

Nicolas Bersier

Let d(n) denote Dirichlet's divisor function for positive integer numbers. This work is primarily concerned with the study of We are interested, in the error term where Ρ3 is a polynomial of degree 3 ; more precisely xΡ3(log x) is the residue of in s = 1. ...

EPFL2007

Observation of the D1(2420)→Dπ+π- decays

Tagir Aushev, Sun Hee Kim, Ji Hyun Kim, Jing Li

We report on the first observation of D10(2420)→D0π-π+ and D1+(2420)→D+π-π+ decays (where the contribution from the dominant known D1→D*π decay mode is excluded) in the B-→D10π- and B̄0→D1+π- decays, respectively. The observation is based on 15.2×107 BB̄ e ...

2005

Measurement of the wrong-sign decays D0→K+π-π0 and D0→K+π-π+π-, and search for CP violation

Aurelio Bay, Tagir Aushev, Sun Hee Kim, Jing Li

Using 281fb-1 of data from the Belle experiment recorded at or near the Υ(4S) resonance, we have measured the rates of the "wrong-sign" decays D0→K+π-π0 and D0→K+π-π+π- relative to those of the Cabibbo-favored decays D0→K-π+π0 and D0→K-π+π+π-. These wrong- ...

2005