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Non-abelian zeta functions for function fields

✍ Scribed by Weng, Lin


Book ID
118226367
Publisher
John Hopkins University Press
Year
2005
Tongue
English
Weight
593 KB
Volume
127
Category
Article
ISSN
0002-9327

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We present a new version ''at s=1'' of Rubin's refined, higher order Stark conjecture at s=0 for an abelian extension of number fields (K. Rubin, 1996, Ann. Inst. Fourier 46, No. 1, 33-62). The key idea is to introduce a formalism of ''twisted zeta-functions'' to replace the L-functions underlying R