Counting the non-trivial zeroes, using extended Riemann Siegel function analogues, for 5-periodic Dirichlet Series which obey functional equations

Argument principle calculations of zeroes using extended Riemann Siegel function analogues are investigated
for the Davenport-Heilbronn function and another 5-periodic Dirichlet series. Both these 5-periodic Dirichlet
series functions have previously been reported as possessing functional equations and not being expressible
as Euler products. Informative counts of the non-trivial zeroes (including off the critical line) are obtained for various
s = σ + i ∗ t lines in the positive quadrant of the complex plane.