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

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Springer Fachmedien Wiesbaden GmbH can be viewed as updating Section 3 of [26]. Further, we shall consider an extension of (1) with . = 3 and derive a new result from a recent theorem of Bilu, Hanrot and Voutier [4] on primitive divisors of Lucas and Lehmer sequences. We shall also discuss some general results on diophantine approxi

斥责

antidote

https://doi.org/10.1007/978-3-658-35727-6The purpose of this note is to introduce the reader to some of the basic concepts in the theory of congruences between modular forms. Our exposition here has been distilled from various sources. We have especially benefited from reading the papers of Hida and Ribet some of which are listed in the references.

amnesia

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https://doi.org/10.1007/978-3-658-35727-6The view-obstruction problem was first introduced by T. W. Cusick. In his 1972 paper [10] he stated the following problem.

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Springer Fachmedien Wiesbaden GmbHLet . 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).

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修饰语

An Introduction to Congruences Between Modular Forms,The purpose of this note is to introduce the reader to some of the basic concepts in the theory of congruences between modular forms. Our exposition here has been distilled from various sources. We have especially benefited from reading the papers of Hida and Ribet some of which are listed in the references.