9 citations · 15 across the 5 of their papers we have counts for
5 papers
Riemann Hypothesis may be proved by induction
R. M. Abrarov, S. M. Abrarov
The transformations of the sum identities for generalized harmonic and oscillatory numbers, obtained earlier in our recent report [1], enable us to derive the new identities expres…
Hydrodynamic model for relaxation of optically injected currents in quantum wells
R. M. Abrarov, E. Ya. Sherman, J. E. Sipe
We use a hydrodynamic model to describe the relaxation of optically injected currents in quantum wells on a picosecond time scale, numerically solving the continuity and velocity e…
On the properties of generalized harmonic and oscillatory numbers. Simple proof of the Prime Number Theorem
R. M. Abrarov, S. M. Abrarov
We derived the sum identities for generalized harmonic and corresponding oscillatory numbers for which a sieve procedure can be applied. The obtained results enable us to understan…
Broadening of band-gap in photonic crystals with optically saturated media
S. M. Abrarov, R. M. Abrarov
Due to strong absorption of the incident light, the media with high refractive index are considered restrictive for applications in photonic crystals (PhCs). The possibility to res…
Identities for number series and their reciprocals: Dirac delta function approach
S. M. Abrarov, R. M. Abrarov
Dirac delta function (delta-distribution) approach can be used as efficient method to derive identities for number series and their reciprocals. Applying this method, a simple proo…