4 citations · 7 across the 7 of their papers we have counts for
7 papers · 1 filter
On a multiplicative non-Hecke twist of motivic L-functions
Heiko Knospe, Andrzej Dąbrowski
We investigate the twisting of motivic -functions by a family of multiplicative characters , defined on prime ideals via …
Special values of -adic -functions and Iwasawa -invariants of Dirichlet characters
Heiko Knospe
We investigate the Iwasawa -invariant of the -adic -function associated with a Dirichlet character for odd primes . Using special values of the -adic $L…
On Iwasawa -invariants for abelian number fields and random matrix heuristics
Daniel Delbourgo, Heiko Knospe
Following both Ernvall-Metsänkylä and Ellenberg-Jain-Venkatesh, we study the density of the number of zeroes (i.e. the cyclotomic -invariant) for the -adic zeta-function twis…
Dirichlet Series Expansions of p-adic L-Functions
Heiko Knospe, Lawrence C. Washington
We study -adic -functions for Dirichlet characters . We show that has a Dirichlet series expansion for each regularization parameter that is prim…
A note on regularized Bernoulli distributions and p-adic Dirichlet expansions
Heiko Knospe
We consider Bernoulli distributions and their regularizations, which are measures on the -adic integers . It is well known that their Mellin transform can be used…
Nonstandard Measure Spaces with Values in non-Archimedean Fields
Heiko Knospe
The aim of this contribution is to bring together the areas of -adic analysis and nonstandard analysis. We develop a nonstandard measure theory with values in a complete non-Arc…
On the Spectrum of Nonstandard Dedekind Rings
Heiko Knospe, Christian Serpé
The methods of nonstandard analysis are applied to algebra and number theory. We study nonstandard Dedekind rings, for example an ultraproduct of the ring of integers of a number f…