Glazunov N. Devising of methods to the substantiation of hypotheses of the theory of algebraic curves and geometry of numbers.

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0505U000280

Applicant for

Specialization

  • 01.05.01 - Теоретичні основи інформатики та кібернетики

29-04-2005

Specialized Academic Board

Д 26.194.02

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Essay

Theoretical foundations, new computer-algebraic, interval-analytic and on the moduli spaces methods to the substantiation of hypotheses of the theory of algebraic curves and geometry of numbers are developed, their study and comparative analysis with known methods are carried out. The Minkowski's hypothesis about critical determinant of the region |x|^p + |y|^p < 1, p > 1 , in the vicinity of p = 2 is proved.

Files

Similar theses