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

送秋波

The Local Root Number of Elliptic Curves,In this paper, we compute the sign of the functional equation of the .-function of elliptic curves in terms of the coefficients of the Weierstraß equation.

经典

On Skew-holomorphic Jacobi Forms,Let ., . be positive integers and let . be odd. Let . (mod 2.) be an integer. The theta function. where .(.) := .., . ∈ ℂ, satisfies the heat equation.and further it satisfies the following transformation law:.where ..(.) := .., . ∈ ℂ. The Poisson summation formula gives

GLADE

The View-obstruction Problem,The view-obstruction problem was first introduced by T. W. Cusick. In his 1972 paper [10] he stated the following problem.

neologism

Special Integral Bases with Restricted Coefficients for Extensions of Dedekind Domains,Let . denote a Dedekind domain, . its field of quotients, .(d̄) a finite (of degree .) separable extension of . the integral closure of . in .. We choose . to lie in .. It is known that . is a finite .-module generated by . (≥ .) elements ., … .(say).

阴郁

冷漠

Hindustan Book Agency (India) 2002

Congestion

认识

On the Average of the Sum-of-odd-divisors Function,term in the average .(.) = Σ.’(.). We apply the method of averaging over suitable arithmetic progressions to get an extension of the Ω-results obtained by Y.-F.S. Pétermann in the case of the sum-of-divisors function, the classical .(.).

竖琴

Interim

The Addition Law on Hyperelliptic Jacobians,lex numbers, this can be done using theta function identities. Abstractly, the group law was written down by Cantor [1]. As observed by Koblitz [2], this makes it possible to use the set of points on the Jacobian of a hyperelliptic curve (or more succintly, a hyperelliptic Jacobian) over a finite field as the basis of a public-key cryptosystem.