cyclotomic sentence in Hindi
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- A cyclotomic extension, under either definition, is always abelian.
- The polynomial ? ( x ) will be the cyclotomic polynomial.
- The cyclotomic identity witnesses the fact that these two algebras are isomorphic.
- A consequence is that the cyclotomic polynomials are self-reciprocal for.
- The cyclotomic units satisfy " distribution relations ".
- It makes extensive use of the theory of cyclotomic fields and Galois modules.
- Every subfield of a cyclotomic field is an abelian extension of the rationals.
- Cyclotomic polynomials are solvable in Gauss in 1797.
- He created a series of papers on Iwasawa's conjecture for cyclotomic fields.
- Cyclotomic polynomials are also helpful in finding factorizations.
- Washington wrote a standard work on cyclotomic fields.
- Many restrictions are known about the values that cyclotomic polynomials can assume at integer values.
- The cyclotomic polynomials are monic polynomials with integer coefficients that are palindromics of even degree.
- Kummer used these as a substitute for the failure of unique factorization in cyclotomic fields.
- The first two class field theories were very explicit cyclotomic and complex multiplication class field theories.
- As with cyclotomic fields more generally, the field of Gaussian rationals is neither countably infinite.
- Also, cyclotomic polynomials are palindromic.
- Here and are ordinary integers, whereas the factors are algebraic integers in the cyclotomic field.
- A theorem of Schur says that there are cyclotomic polynomials with coefficients arbitrarily large in absolute value.
- There are two slightly different definitions of the term "'cyclotomic extension . "'
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