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2 papers

math.GM2024

Chaotic Dynamics Derived from the Montgomery Conjecture: Application to Electrical Systems

Zeraoulia Rafik, Alvaro Humberto Salas, Ayadi Souad

Here, we introduce a novel method for obtaining chaotic dynamics based on the Montgomery conjecture for the pair correlation of zeros of the Riemann zeta function. Motivated by the…

math.NT2022

Asymptotic formula for the multiplicative function

Meselem Karras

For a fixed integer , we define the multiplicative function \[D_{k,ω}(n) := \frac{d(n)}{k^{ω(n)}}, \]where is the divisor function and is the number of distinct pr…