Estimates for Weyl sums in the theory of discrete universality
Sign Up to like & getrecommendations! Published in 2021 at "Ramanujan Journal"
DOI: 10.1007/s11139-020-00381-9
Abstract: We prove joint and disjoint discrete universality theorems for Dirichlet L-functions $$L(s,\chi )$$ and Hurwitz zeta-functions $$\zeta (s;\beta )$$ with rational parameter $$\beta \in (0,1]$$ . Our approach does not utilize Gallagher’s lemma, which is… read more here.
Keywords: discrete universality; universality; weyl sums; estimates weyl ... See more keywords
Stochastic Theory of Discrete Binary Fragmentation—Kinetics and Thermodynamics
Sign Up to like & getrecommendations! Published in 2022 at "Entropy"
DOI: 10.3390/e24020229
Abstract: We formulate binary fragmentation as a discrete stochastic process in which an integer mass k splits into two integer fragments j, k−j, with rate proportional to the fragmentation kernel Fj,k−j. We construct the ensemble of… read more here.
Keywords: discrete binary; stochastic theory; fragmentation; thermodynamics ... See more keywords