@article{SteudingTongsomporn2023,
  author    = {Steuding, J{\"o}rn and Tongsomporn, Janyarak},
  title     = {On the order of growth of Lerch zeta functions},
  series = {Mathematics},
  volume    = {11},
  journal   = {Mathematics},
  number    = {3},
  issn      = {2227-7390},
  doi       = {10.3390/math11030723},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-303981},
  year      = {2023},
  abstract  = {We extend Bourgain's bound for the order of growth of the Riemann zeta function on the critical line to Lerch zeta functions. More precisely, we prove L(λ, α, 1/2 + it) ≪ t\(^{13/84+ϵ}\) as t → ∞. For both, the Riemann zeta function as well as for the more general Lerch zeta function, it is conjectured that the right-hand side can be replaced by t\(^ϵ\) (which is the so-called Lindel{\"o}f hypothesis). The growth of an analytic function is closely related to the distribution of its zeros.},
  language  = {en}
}
@article{TongsompornWananiyakulSteuding2021,
  author    = {Tongsomporn, Janyarak and Wananiyakul, Saeree and Steuding, J{\"o}rn},
  title     = {The values of the periodic zeta-function at the nontrivial zeros of Riemann's zeta-function},
  series = {Symmetry},
  volume    = {13},
  journal   = {Symmetry},
  number    = {12},
  issn      = {2073-8994},
  doi       = {10.3390/sym13122410},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-252261},
  year      = {2021},
  abstract  = {In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-function at the nontrivial zeros of the Riemann zeta-function (up to some height) which are symmetrical on the real line and the critical line. This is an extension of the previous results due to Garunkštis, Kalpokas, and, more recently, Sowa. Whereas Sowa's approach was assuming the yet unproved Riemann hypothesis, our result holds unconditionally.},
  language  = {en}
}
@article{SteudingSuriajaya2020,
  author    = {Steuding, J{\"o}rn and Suriajaya, Ade Irma},
  title     = {Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines},
  series = {Computational Methods and Function Theory},
  volume    = {20},
  journal   = {Computational Methods and Function Theory},
  issn      = {1617-9447},
  doi       = {10.1007/s40315-020-00316-x},
  url       = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-232621},
  pages     = {389-401},
  year      = {2020},
  abstract  = {For an arbitrary complex number a≠0 we consider the distribution of values of the Riemann zeta-function ζ at the a-points of the function Δ which appears in the functional equation ζ(s)=Δ(s)ζ(1-s). These a-points δa are clustered around the critical line 1/2+i\(\mathbb {R}\) which happens to be a Julia line for the essential singularity of ζ at infinity. We observe a remarkable average behaviour for the sequence of values ζ(δ\(_a\)).},
  language  = {en}
}