By A. Fröhlich,M. J. Taylor
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There are numbers of all types: rational, genuine, complicated, p-adic. The p-adic numbers are much less renowned than the others, yet they play a primary position in quantity idea and in different elements of arithmetic. This uncomplicated advent deals a large realizing of p-adic numbers. From the experiences: "It could be the main compatible textual content for newcomers, and that i shall certainly suggest it to somebody who asks me what a p-adic quantity is.
From the reports: "This publication provides a radical advent to a number of theories which are primary to analyze on modular types. many of the fabric, regardless of its value, had formerly been unavailable in textbook shape. entire and readable proofs are given. .. In end, this ebook is a welcome boost to the literature for the starting to be variety of scholars and mathematicians in different fields who are looking to comprehend the new advancements within the idea of modular varieties.
From a assessment of the second one edition:"This e-book covers many attention-grabbing subject matters no longer often coated in a gift day undergraduate direction, in addition to definite simple themes corresponding to the improvement of the calculus and the answer of polynomial equations. the truth that the subjects are brought of their ancient contexts will let scholars to raised delight in and comprehend the mathematical rules concerned.
The purpose of this ebook is to offer a scientific exposition of leads to a few very important situations the place p-adic households and p-adic L-functions are studied. We first examine p-adic households within the following situations: normal linear teams, symplectic teams and yes unitary teams. We additionally examine purposes of this concept to modularity lifting difficulties.
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Additional resources for Algebraic Number Theory (Cambridge Studies in Advanced Mathematics)
Algebraic Number Theory (Cambridge Studies in Advanced Mathematics) by A. Fröhlich,M. J. Taylor
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