18 citations · 52 across the 19 of their papers we have counts for
19 papers
On the use of the generalized Littlewood theorem concerning integrals of the logarithm of analytical functions for calculations of infinite sums and analysis of zeroes of analytical functions
Sergey K. Sekatskii
Recently, we have established and used the generalized Littlewood theorem concerning contour integrals of the logarithm of analytical function to obtain a few new criteria equivale…
Nanophotonic structures with optical surface modes for tunable spin current generation
P. V. Shilina, D. O. Ignatyeva, P. O. Kapralov +9
Heat generated by spin currents in spintronics-based devices is typically much less than that generated by charge current flows in conventional electronic devices. However, the con…
High-Q surface electromagnetic wave resonance excitation in magneto-photonic crystals for super-sensitive detection of weak light absorption in near-IR
O. V. Borovkova, D. O. Ignatyeva, S. K. Sekatskii +2
Mid-infrared spectrum can be recorded from almost any material making the mid-infrared spectroscopy an extremely important and widely used sample characterization and analytical te…
Approximation of the derivatives of the logarithm of the Riemann zeta-function in the critical strip
Sergey Sekatskii, Stefano Beltraminelli
Recently, we have established the generalized Li criterion equivalent to the Riemann hypothesis, viz. demonstrated that the sums over all non-trivial Riemann function zeroes k_n,a=…
Novel integral representations of the Riemann zeta-function and Dirichlet eta-function, close expressions for Laurent series expansions of powers of trigonometric functions and digamma function, and summation rules
Sergey K. Sekatskii
We have established novel integral representations of the Riemann zeta-function and Dirichlet eta-function based on powers of trigonometric functions and digamma function, and then…
Generating functions for the generalized Li's sums
S. K. Sekatskii
Recently, in arXiv:1304.7895; Ukrainian Math. J. - 2014.- 66. - P. 371 - 383, we presented the generalized Li's criterion. This is the statement that the sums /lambda_(n, b, /sigma…