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

exorbitant

妨碍

agitate

Higher Circular ,-units of Anderson and Ihara,rcular .-units so as to include for consideration non-Abelian extensions of ℚ of certain type. These units were introduced and studied by Anderson and Ihara in [1]. This article an exposition of the result in [1] about the Higher circular .-units. At the end we discuss the question regarding the higher circular .-units raised in [1].

Gingivitis

Reflection Representation and Theta Correspondence,lection representation Π. of .(F.) is the representation on the space of complex valued functions on ℙ.(F.) whose sum of values is zero. The aim of this work is to study the decomposition of the tensor product of Π. with itself and its relation with the dual pair correspondences. We find that the decomposition is “essentially multiplicity free”.

abysmal

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 .(.).

AFFIX

Rogers-Ramanujan Identities, (1 − .); (.;.). = 1.) They were first discovered by Rogers in 1894. After two decades they were rediscovered by Ramanujan and Schur, independently. MacMahon [12, Theorems 364, 365 p.291], gave the following combinatorial interpretations of (1.1) and (1-2), respectively:

Insufficient

极端的正确性

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 fi

执

Sieving Using Dirichlet Series,is the method of Dirichlet series. One associates the Dirichlet series.and tries to obtain analytic (or meromorphic) continuation of the series to a large enough domain. Then, from the analytic properties of .(.), one tries to obtain information on the growth of the coefficients, or the asymptotic p

磨坊