Non-abelian pseudomeasures and congruences between abelian Iwasawa L-functions

Details Non-abelian pseudomeasures and congruences between abelian Iwasawa L-functions Non-abelian pseudomeasures and congruences between abelian Iwasawa L-functions

2007-11-05

arxiv.org/abs/0711.0581v1

Pure and Applied Mathematics Quarterly 4 (2008), 1085-1106

Mathematics

Number Theory

Scientific paper

The paper starts out from pseudomeasures (in the sense of Serre) which hold the arithmetic properties of the abelian $l$-adic Artin $L$-functions over totally real number fields. In order to generalize to non-abelian $l$-adic $L$-functions, these abelian pseudomeasures must satisfy congruences which are introduced but not yet known to be true. The relation to the ``equivariant main conjecture'' of Iwasawa theory is discussed.

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