@article{KnospeWashington2021,
author = {Heiko Knospe and Lawrence C. Washington},
title = {Dirichlet series expansions of p-adic L-functions},
series = {Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t Hamburg},
volume = {91},
number = {2},
publisher = {Springer Berlin Heidelberg},
issn = {0025-5858},
doi = {10.1007/s12188-021-00244-0},
url = {https://nbn-resolving.org/urn:nbn:de:hbz:832-epub4-21307},
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}
}