Titlebook: Current Trends in Number Theory; Sukumar Das Adhikari,Shashikant A. Katre,B. Ramakr Book 2002 Hindustan Book Agency (India) 2002

借喻

On Automorphism Groups of Algebraic Curves, we give classical results on the upper bounds of the order of Aut(.). In §2, we discuss the relation between Aut(.) and .-ranks of ., when the ground field . has characteristic . > 0. Finally in §3, we give an upper bound of the orders of abelian subgroups of Aut(.).

RACE

Zeta Functions for Curves Defined over Finite Fields,lds. We state these conjectures, and also the more recent Weil theorem for singular curves defined over finite fields. We end by remarking on some explicit results we have obtained for the zeta functions of some concrete classes of curves (both non-singular and singular) defined over a certain class of finite fields.

阐明

An Equation of Goormaghtigh and Diophantine Approximations,mations by applying them to (1). All the constants appearing in this article are effectively computable. This means that they can be determined explicitly in terms of various parameters involved. By .(.), we understand that . is a number depending only on ..

CUB

The Cyclotomic Problem,acobi sums play an important role in this theory. The present paper is a survey of the work of a number of mathematicians on this problem and indicates the current status of the problem. Recently, Paul van Wamelen has obtained a solution to the problem for any modulus.

RALES

PLUMP

parasite

Springer Fachmedien Wiesbaden GmbHmations by applying them to (1). All the constants appearing in this article are effectively computable. This means that they can be determined explicitly in terms of various parameters involved. By .(.), we understand that . is a number depending only on ..

向外

Tremor

消散