کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4582399 | 1333798 | 2014 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Roots of solvable polynomials of prime degree
ترجمه فارسی عنوان
ریشه های چند جملهای قابل حل اول درجه
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
An explicit formula for the most general root of a solvable polynomial of prime degree is stated and proved. Such a root can be expressed rationally in terms of a single compound radical determined by the roots of a cyclic polynomial whose degree divides μ−1μ−1, where μμ is the prime. The study of such formulas was initiated by a formula of Abel for roots of quintic polynomials that are solvable, and was carried forward by Kronecker and a few others, but seems to have lain dormant since 1924. A formula equivalent to the one given here is contained in a paper of Anders Wiman in 1903, but it seems to have been forgotten.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 32, Issue 1, 2014, Pages 79–91
Journal: Expositiones Mathematicae - Volume 32, Issue 1, 2014, Pages 79–91
نویسندگان
Harold M. Edwards,