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- W2969255998 abstract "In recent work Burns, Kurihara and Sano introduced a natural notion of (generalised) Stark elements of arbitrary rank and weight and conjectured a precise congruence relation between Stark elements of a fixed rank and different weights. This conjecture was shown to simultaneously generalise both the classical congruences of Kummer and the explicit reciprocity law of Artin-Hasse and Iwasawa. In this article, we show that the congruence conjecture also implies that the Iwasawa theoretical `zeta element’ that is conjecturally associated to the multiplicative group has good interpolation properties at arbitrary even integers." @default.
- W2969255998 created "2019-08-29" @default.
- W2969255998 creator A5022056930 @default.
- W2969255998 date "2019-12-01" @default.
- W2969255998 modified "2023-10-03" @default.
- W2969255998 title "On Generalised Kummer Congruences and Higher Rank Iwasawa Theory at Arbitrary Weights" @default.
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- W2969255998 doi "https://doi.org/10.3836/tjm/1502179304" @default.
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