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Local Whittaker-Newforms for GSp(4) matching to Langlands parameters

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abstract

We extend the local newform theory of B. Roberts and R. Schmidt for generic, irreducible, admissible representations of PGSp(4) to that for GSp(4). The newform matches to the Langlands parameter.

fields

math.NT 1

years

2020 1

verdicts

UNVERDICTED 1

representative citing papers

On the Bloch-Kato conjecture for GSp(4)

math.NT · 2020-03-12 · unverdicted · novelty 7.0

Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.

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  • On the Bloch-Kato conjecture for GSp(4) math.NT · 2020-03-12 · unverdicted · none · ref 34 · internal anchor

    Proves explicit reciprocity law for Euler system of spin motive of genus 2 Siegel modular form, giving partial Iwasawa Main Conjecture and Bloch-Kato conjecture results.