International Center for Transitional Justice

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20042009

most citedCounterparty risk valuation for CDS

15 citations

Showing 2008 · math.NTShow all

4 papers · 2 filters

math.NT2008

Diophantine properties for q-analogues of Dirichlet's beta function at positive integers

Frederic Jouhet, Elie Mosaki

small In this paper, we define $q$ -analogues of Dirichlet's beta function at positive integers, which can be written as $β_{q} (s) = \sum_{k \geq 1} \sum_{d ∣ k} χ (k / d) d^{s - 1} q^{k}$ for $s\in\N…

math.NT2008★ 1 cited

On the parity of generalized partition functions III

Fethi Ben Said, Jean-Louis Nicolas, Ahlem Zekraoui

Improving on some results of J.-L. Nicolas \cite {Ndeb}, the elements of the set $A = A (1 + z + z^{3} + z^{4} + z^{5})$ , for which the partition function $p (A, n)$ (i.e. the nu…

math.NT2008★ 1 cited

Landau's function for one million billions

Marc Deleglise, Jean-Louis Nicolas, Paul Zimmermann

Let $S_{n}$ denote the symmetric group with $n$ letters, and $g (n)$ the maximal order of an element of $S_{n}$ . If the standard factorization of $M$ into primes…

math.NT2008

Quelques inégalités effectives entre des fonctions arithmétiques usuelles

Jean-Louis Nicolas

Let us denote by $τ (n)$ and $\si(n)$ the number and the sum of the divisors of $n$ and by $\vfi$ Euler's function. We give effective upper bounds for $\frac{n}{\vfi(n)}$ in terms o…