@article{KnospeWashington2021,
  author    = {Knospe, Heiko and Washington, Lawrence C.},
  title     = {Dirichlet series expansions of p-adic L-functions},
  journal   = {Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t Hamburg},
  volume    = {91},
  number    = {2},
  issn      = {0025-5858},
  doi       = {10.1007/s12188-021-00244-0},
  institution = {Fakult{\"a}t 07 / Institut f{\"u}r Nachrichtentechnik},
  pages     = {325 -- 334},
  year      = {2021},
  abstract  = {We study p-adic L-functions Lp(s, 휒) for Dirichlet characters 휒. We show that Lp(s, 휒) has a Dirichlet series expansion for each regularization parameter c that is prime to p and the conductor of 휒. The expansion is proved by transforming a known formula for p-adic L-functions and by controlling the limiting behavior. A fnite number of Euler factors can be factored of in a natural manner from the p-adic Dirichlet series. We also provide an alternative proof of the expansion using p-adic measures and give an explicit formula for the values of the regularized Bernoulli distribution. The result is particularly simple for c = 2, where we obtain a Dirichlet series expansion that is similar to the complex case.},
  language  = {en}
}