Computing Annihilators of Class Groups from Derivatives of L-functions

The fractional Galois ideal for arbitrary order of vanishing

We propose a candidate, which we call the fractional Galois ideal after Snaith’s fractional ideal, for replacing the classical Stickelberger ideal associated to an abelian extension of number fields. The Stickelberger ideal can be seen as gathering information about those L-functions of the extension which are non-zero at the special point s = 0, and was conjectured by Brumer to give annihilato...

Ostrowski type inequalities for functions whose derivatives are preinvex

In this paper‎, ‎making use of a new identity‎, ‎we establish new‎ ‎inequalities of Ostrowski type for the class of preinvex functions and‎ ‎gave some midpoint type inequalities‎.

. S C ] 1 9 Ja n 20 14 Parallel Telescoping and Parameterized Picard – Vessiot Theory ∗

Parallel telescoping is a natural generalization of differential creativetelescoping for single integrals to line integrals. It computes a linear ordinary differential operator L, called a parallel telescoper, for several multivariate functions, such that the applications of L to the functions yield antiderivatives of a single function. We present a necessary and sufficient condition guaranteei...

Rings of functions with integer derivatives at x=1

On the Equivariant Tamagawa Number Conjecture for Tate Motives and Unconditional Annihilation Results

Let L/K be a finite Galois extension of number fields with Galois group G. Let p be a prime and let r ≤ 0 be an integer. By examining the structure of the p-adic group ring Zp[G], we prove many new cases of the p-part of the equivariant Tamagawa number conjecture (ETNC) for the pair (h(Spec(L))(r),Z[G]). The same methods can also be applied to other conjectures concerning the vanishing of certa...