@article{martin_2020, 
  title={Self-similarity along the line Re(L(χ, s)) = 1 for 1st degree L functions near (i) large peaks and (ii) points known to correspond to large Riemann Zeta function peaks}, 
  DOI={10.6084/m9.figshare.13242101.v4}, 
  abstractNote={Two types of self-similarity exhibited in 1st degree L-functions on the line S=1+i*T are examined in the<br>range (10 5 &lt; T &lt; 10 30 ). Firstly, it is observed that there is extended mesoscale structure surrounding the<br>large peaks of the L-function on the line S=1+i*T reflecting closely the product function of (i) a truncated<br>Riemann Zeta function near the real axis with (ii) simple Euler factor type terms arising from the absent<br>lower modulo primes of the L-function. A second self-similarity pattern mimicking a version of the L-function<br>near the real axis (S=1) occurs around points known to correspond to large Riemann Zeta function peaks.<br>Following previous work, simple expressions are provided to approximate the known lower bound height and<br>local structure of the self-similarity features about large 1st degree L-function peaks for σ ≥ 1.}, 
  publisher={figshare}, 
  author={Martin, John}, 
  year={2020}, 
  month={Nov}
  }