For any three numbers D_inf < D_1 <= D in [0,1], the authors construct a bounded fractal string whose zeta function has paramorphic barrier D_inf, meromorphic abscissa D_1, and absolute convergence abscissa D.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math-ph 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Essential singularities of fractal zeta functions
For any three numbers D_inf < D_1 <= D in [0,1], the authors construct a bounded fractal string whose zeta function has paramorphic barrier D_inf, meromorphic abscissa D_1, and absolute convergence abscissa D.