A polylogarithmic measure associated with a path on $\Pbb ^1\setminus \{ 0,1,\infty \}$ and a $P$-adic Hurwitz zeta function
WOJTKOWIAK, ZDZISLAW, JOZEF
HAL, hal-01286738 / Harvested from HAL
Text on HAL
With every path on a projective line minus zero, one and infinity there is associated a measure. We are studying a sum of two such measures associated to paths from the tangential point at zero to roots of one. We show that the obtained measure can be defined very elementary. Integrating agaist this measure we get p-adic Hurwitz zeta functions constructed previously by Shiratani.
Publié le : 2016-03-11
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT] 
@article{hal-01286738,
     author = {WOJTKOWIAK, ZDZISLAW, JOZEF},
     title = {A polylogarithmic measure associated with a path on $\Pbb ^1\setminus \{ 0,1,\infty \}$ and a $P$-adic Hurwitz zeta function},
     journal = {HAL},
     volume = {2016},
     number = {0},
     year = {2016},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01286738}
}

WOJTKOWIAK, ZDZISLAW, JOZEF. A polylogarithmic measure associated with a path on $\Pbb ^1\setminus \{ 0,1,\infty \}$ and a $P$-adic Hurwitz zeta function. HAL, Tome 2016 (2016) no. 0, . http://gdmltest.u-ga.fr/item/hal-01286738/