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

Ardent

construct

帽子

口訣法

https://doi.org/10.1007/978-3-658-35727-6is 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

使?jié)M足

https://doi.org/10.1007/978-3-658-35727-6 ?(.n)* denote the multiplicative group of non zero elements of ?(.)-the subfield of ? generated by . and .. Let .[.] be the subgroup of the multiplicative group ?(.)* generated by the elements . and 1 ? . with 1 ≤ . ≤ ., (., .) = 1. The elements of .[.], . ≥ 0 are called the cyclotomic .-units. Not

dura-mater

BOAST

Springer Fachmedien Wiesbaden GmbHlds. 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

Keratectomy

brassy

Springer Fachmedien Wiesbaden GmbHtivity, algebraicity, growth properties with respect to naturally attached parameters etc. In this expository article we will briefly describe some of those developments for a special class of automorphic .-functions which will be introduced below. Our aim is to provide the reader a glimpse of this

壁畫

Springer Fachmedien Wiesbaden GmbHquestions. . Note that (±1,0) and (0, ±1) are trivial integral solutions of (1). If . denotes the set of all . satisfying (1), then . is an abelian group under the composition,.In [PS1], we proved the following theorem, which determines the structure of this group in terms of the number of complex i