01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
9.04.1969
E-mail:
Keywords:
analytic number theory, geometry of numbers, lattices, relative minima.
UDC:
511.334, 515.178, 511.36, 511.37
Subject:
Analysis of Euclid's algorithm.
Main publications:
M. O. Avdeeva, “O nizhnikh otsenkakh kolichestva lokalnykh minimumov tselochislennykh reshetok”, Fundamentalnaya i prikladnaya matematika, 11:6 (2005), 9–14
M. O. Avdeeva, V. A. Bykovskii, “Upper and Lower Bounds for the Voronoi–Minkowski constant”, Mat. Zametki, 87:4 (2010), 483–491; Math. Notes, 87:4 (2010), 457–465
M. O. Avdeeva, V. A. Bykovskii, “Refinement of Vahlen's Theorem for Minkowski Bases of Three-Dimensional Lattices”, Mat. Zametki, 79:2 (2006), 163–168; Math. Notes, 79:2 (2006), 151–156
M. O. Avdeeva, “The lower bound for the number of local minima of integral lattices”, Fundam. Prikl. Mat., 11:6 (2005), 9–14; J. Math. Sci., 146:2 (2007), 5629–5633
M. O. Avdeeva, “On the Statistics of Partial Quotients of Finite Continued Fractions”, Funktsional. Anal. i Prilozhen., 38:2 (2004), 1–11; Funct. Anal. Appl., 38:2 (2004), 79–87
M. O. Avdeeva, V. A. Bykovskii, “An analogue of Vahlen's theorem for simultaneous
approximations of a pair of numbers”, Mat. Sb., 194:7 (2003), 3–14; Sb. Math., 194:7 (2003), 955–967
M. O. Avdeeva, “About the Vahlen theorem analog for three-dimensional lattices”, Dal'nevost. Mat. Zh., 2:2 (2001), 69–73
Presentations in Math-Net.Ru
1.
Об алгебраических свойствах последовательностей
Сомоса M. O. Avdeeva XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich May 29, 2018 16:00
Contact us: