𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Points of a Certain Fivefold over Finite Fields and the Twelfth Power of the Eta Function

✍ Scribed by Scott Ahlgren

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
315 KB
Volume
8
Category
Article
ISSN
1071-5797

No coin nor oath required. For personal study only.

✦ Synopsis

If p is an odd prime, then denote by % N the "eld with p elements. We prove that a certain "vefold is modular in the sense that for every odd p, the number of its points over % N is predicted explicitly by the pth coe$cient of the Fourier expansion of the weight 6 modular form (2z).

πŸ“œ SIMILAR VOLUMES

Invariant Subspaces of the Ring of Funct
Invariant Subspaces of the Ring of Functions on a Vector Space over a Finite Field
✍ Nicholas J Kuhn πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 270 KB

If F is the finite field of characteristic p and order q s p , let F F q be the q category whose objects are functors from finite dimensional F -vector spaces to q F -vector spaces, and with morphisms the natural transformations between such q functors. Ε½ . A fundamental object in F F q is the injec

Number of Points on the Projective Curve
Number of Points on the Projective Curves aYl=bXl+cZl and aY2l=bX2l+cZ2l Defined over Finite Fields, l an Odd Prime
✍ N. Anuradha; S.A. Katre πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 201 KB

The number of points on the curve aY e =bX e +c (abc{0) defined over a finite field F q , q#1 (mod e), is known to be obtainable in terms of Jacobi sums and cyclotomic numbers of order e with respect to this field. In this paper, we obtain explicitly the Jacobi sums and cyclotomic numbers of order e

PMβ€”Power and Machinery: Validation of a
PMβ€”Power and Machinery: Validation of a Finite Element Program for the Design of Roll-over Protective Framed Structures (ROPS) for Agricultural Tractors
✍ A. Fabbri; S. Ward πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 382 KB

The design and testing of roll-over protective structures (ROPS) present considerable challenges for small-to medium-sized agricultural tractor manufacturers. Moreover, these manufacturers experience di$culties in using commercial "nite element packages. As a consequence, a "nite element program, pr