Moment Zeta Fun tions in Arithmeti Geometry

Rationality of Partial Zeta Fun tions

Zeta Fun tions Of Algebrai Cy les Over Finite Fields

Adjoint Codes in Functional Framework

We show how to implement fun tionally the reverse, or adjoint strategy within the domain of Computational Di erentiation te hniques { tools permitting to ompute numeri ally, but exa tly (i.e. up to the ma hine pre ision) the derivatives of oded fun tions. The imperative oding of the reverse te hniques is awkward. It requires the reversal of the ontrol thread of the program, and it re omputes th...

Aeùñö¹ìììóööøø Óò×øöù Blockinøøóò× Óó Ae Blockin Blockin Blockinòø È××ùùó¹êêòòóñ Ùò Blockinøøóò×

We des ribe eÆ ient onstru tions for various ryptographi primitives in private-key as well as publi -key ryptography. Our major results are two new onstru tions of pseudorandom fun tions. We prove the pseudo-randomness of one onstru tion under the assumption that fa toring (Blum integers) is hard while the other onstru tion is pseudo-random if the de isional version of the DiÆe-Hellman assumpti...

Ëùù««ööòøøøøøððøý Óó Ìýôô Blockin Blockinð Óòøøòùóù× Ùò Blockinøøóò×

Jonathan M. Borwein1, Xianfu Wang August 13, 1999 ABSTRACT. We prove a \typi al" subdi erentiability prin iple and apply it to a variety of omplete metri spa es of ontinuous fun tions on separable Bana h spa es; so as to obtain existen e of fun tions with maximal subdi erentials when ordered by in lusion. The relationship between ontinuous fun tions with maximal subdi erentials and nowhere mono...