90 citations · 118 across the 7 of their papers we have counts for
7 papers
Short proofs, generalizations and applications of certain identities concerning multiple Dirichlet series
László Tóth
We present other proofs, generalizations and analogues of the identities concerning multiple Dirichlet series by Tahmi and Derbal (2022). As applications, we obtain asymptotic form…
Linear Combinations of Dirichlet Series Associated with the Thue-Morse Sequence
László Tóth
In this paper we study sums of Dirichlet series whose coefficients are terms of the Thue-Morse sequence and variations thereof. We find closed-form expressions for such sums in ter…
Estimates for -dimensional spherical summations of arithmetic functions of the GCD and LCM
Randell Heyman, László Tóth
Let be a fixed integer. We consider sums of type , taken over the -dimensional spherical region $\{(n_1,\ldots,n_k)\i…
Hyperbolic summation for functions of the GCD and LCM of several integers
Randell Heyman, László Tóth
Let be a fixed integer. We consider sums of type , taken over the hyperbolic region $\{(n_1,\ldots,n_k)\in {\Bbb N}^k: n_1\cdo…
Proofs, generalizations and analogs of Menon's identity: a survey
László Tóth
Menon's identity states that for every positive integer one has , where runs through a reduced residue system (mod ), stands for the…
Level attraction in a microwave optomechanical circuit
N. R. Bernier, L. D. Tóth, A. K. Feofanov +1
Level repulsion - the opening of a gap between two degenerate modes due to coupling - is ubiquitous anywhere from solid state theory to quantum chemistry. In contrast, if one mode…
A maser based on dynamical backaction on microwave light
L. D. Tóth, N. R. Bernier, A. K. Feofanov +1
The work of Braginsky introduced radiation pressure dynamical backaction, in which a mechanical oscillator that is parametrically coupled to an electromagnetic mode can experience…