Topics in the Theorie of Algebraic Equations.
Final technical rept. Nov 74-Nov 77,
BASEL UNIV (SWITZERLAND) MATHEMATICS INST
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Contents Applicability of the Bernoulli-LHospital rule was investigated, if the usual assumptions fail on a zero set The probably most general extension of integrals of Cauchy-Frullani type was developed, which contains, beyond all special cases as yet known, a great number of further types of integrals The classical theorem on irreducibility of the resultant of two general polynomials is extended to the case where one of these polynomials contains only one free parameter An investigation was made of the properties of the Kronecker extensions of polynomial ideals In discussions of the de Moivre - Laplace formula in the calculus of probabilities, it is proved that the error term is false and the correct term is determined and investigated and Distributions of irrational numbers in a linear interval are investigated with the results extended to vectors with irrational coefficients in an m-dimensional interval in R to the mth power.
- Theoretical Mathematics