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math.NT2011
Summatory Multiplicative Arithmetic Functions: Scaling and Renormalization
Leonid G. Fel
We consider a wide class of summatory functions F{f;N,p^m}=\sum_{k\leq N}f(p^m k), m\in \mathbb Z_+\cup {0}, associated with the multiplicative arithmetic functions f of a scaled v…
physics.plasm-ph2011★ 3 cited
Rarefaction Shock Waves in Collisionless Plasma with Electronic Beam
Victor Ts. Gurovich, Leonid G. Fel
We show that an electronic beam passing through the collisionless plasma of the "cold" ions and the "hot" Boltzmann electrons can give rise to the propagation of the supersonic ion…