### Abstract

In this short note we establish some properties of all those m

otivic

measures which can be exponentiated. As a first application,

we show that the

rationality of Kapranov’s zeta function is stable under pro

ducts. As a second

application, we give an elementary proof of a result of Totar

o

otivic

measures which can be exponentiated. As a first application,

we show that the

rationality of Kapranov’s zeta function is stable under pro

ducts. As a second

application, we give an elementary proof of a result of Totar

o

Original language | English |
---|---|

Number of pages | 12 |

Journal | Journal of the Ramanujan Mathematical Society |

Publication status | Published - 2015 |

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### Keywords

- Grothendieck ring of varieties
- motivic measure
- Kapranov’s zeta function
- Witt vectors
- λ -ring
- Kimura-finiteness
- pure and mixed motives
- G -varieties

### Cite this

Tabuada, G. J. T. N., & RAMACHANDRAN, NIRANJAN. (2015). Exponentiation of motivic measures.

*Journal of the Ramanujan Mathematical Society*.