9 citations · 19 across the 5 of their papers we have counts for
5 papers
A new course `Algebra + Computer Science': What should be its outcomes and where it should start
Alexandre Borovik, Vladimir Kondratiev
The words ``Programming is the second literacy'' were coined more than 40 years ago but never came to life. This paper is one in the series of papers aimed at the analysis of mathe…
Mathematics and Mathematics Education in the 21st Century
Alexandre Borovik, Zoltan Kocsis, Vladimir Kondratiev
Mathematics enters the period of change unprecedented in its history, perhaps even a revolution: a switch to use of computers as assistants and checkers in production of proofs. Th…
Gauge optimization and spectral properties of magnetic Schrödinger operators
Vladimir Kondratiev, Vladimir Maz'ya, Mikhail Shubin
We establish new necessary and sufficient conditions for the discreteness of spectrum and strict positivity of magnetic Schrödinger operators with a positive scalar potential. They…
Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators
Vladimir Kondratiev, Vladimir Maz'ya, Mikhail Shubin
We establish necessary and sufficient conditions for the discreteness of spectrum and strict positivity of magnetic Schrödinger operators with a positive scalar potential. They are…
Discreteness of spectrum for the magnetic Schrödinger operators. I
Vladimir Kondratiev, Mikhail Shubin
We provide sufficient conditions for the discreteness of spectrum for magnetic Schrödinger operators. They generalize the classical result by K.Friedrichs (1934) and earlier result…