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Smith Minkowski Siegel Mass Formula
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Details
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Smith Minkowski Siegel mass formula (or Minkowski Siegel mass formula) is a formula for the sum of the weights of the lattices (quadratic forms) in a genus, weighted by the reciprocals of the orders of their automorphism groups. The mass formula is often given for integral quadratic forms, though it can be generalized to quadratic forms over any algebraic number field. In 0 and 1 dimensions the mass formula is trivial, in 2 dimensions it is essentially equivalent to Dirichlet''s class number formulas for imaginary quadratic fields, and in 3 dimensions some partial results were given by Ferdinand Eisenstein. The mass formula in higher dimensions was first given by H. J. S. Smith (1867), though his results were forgotten for many years. It was rediscovered by H. Minkowski (1885), and an error in Minkowski''s paper was found and corrected by C. L. Siegel (1935).
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131243066
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- Größe H220mm x B6mm x T150mm
- EAN 9786131243066
- Format Fachbuch
- Titel Smith Minkowski Siegel Mass Formula
- Gewicht 151g
- Herausgeber Betascript Publishing
- Anzahl Seiten 100
- Genre Mathematik
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