By Fred Diamond,Jerry Shurman
ISBN-10: 038723229X
ISBN-13: 9780387232294
ISBN-10: 1441920056
ISBN-13: 9781441920058
This ebook introduces the speculation of modular types, from which all rational elliptic curves come up, with a watch towards the Modularity Theorem. dialogue covers elliptic curves as advanced tori and as algebraic curves; modular curves as Riemann surfaces and as algebraic curves; Hecke operators and Atkin-Lehner conception; Hecke eigenforms and their mathematics houses; the Jacobians of modular curves and the Abelian types linked to Hecke eigenforms. because it offers those rules, the publication states the Modularity Theorem in quite a few kinds, touching on them to one another and pertaining to their purposes to quantity idea. The authors think no heritage in algebraic quantity concept and algebraic geometry. workouts are included.
Read or Download A First Course in Modular Forms (Graduate Texts in Mathematics) PDF
Best number theory books
Over the last 20 years, the as soon as small neighborhood Colorado Springs arithmetic Olympiad, based via the writer himself, has now develop into an annual state-wide festival, web hosting over one-thousand highschool contenders every year. This up-to-date printing of the 1st version of Colorado Mathematical Olympiad: the 1st 20 years and extra Explorations bargains an enticing background of the contest in addition to an overview of all of the difficulties and recommendations which were part of the competition through the years.
Download e-book for kindle: Handbook of Algebra: 5 by M. Hazewinkel
Algebra, as we all know it this day, includes many various rules, suggestions and effects. an affordable estimate of the variety of those varied goods will be someplace among 50,000 and 200,000. lots of those were named and plenty of extra may well (and probably should still) have a reputation or a handy designation.
Leonard Eugene Dickson's History of the Theory of Numbers, Volume III: Quadratic and PDF
This third quantity within the sequence historical past of the speculation of Numbers provides fabric with regards to Quadratic and better varieties. quantity III is especially occupied with basic theories instead of with certain difficulties and distinctive theorems. The investigations take care of the main complex components of the speculation of numbers.
Analytic houses of Automorphic L-Functions is a three-chapter textual content that covers huge study works at the automorphic L-functions connected via Langlands to reductive algebraic teams. bankruptcy I makes a speciality of the research of Jacquet-Langlands tools and the Einstein sequence and Langlands’ so-called “Euler products.
Extra resources for A First Course in Modular Forms (Graduate Texts in Mathematics)
Example text
A First Course in Modular Forms (Graduate Texts in Mathematics) by Fred Diamond,Jerry Shurman
by Steven
4.2