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The Explicit Formula and a Motivic Splitting

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Part of the book series: MATRIX Book Series ((MXBS,volume 2))

Abstract

We apply the Guinand-Weil-Mestre explicit formula to resolve two questions about how a certain hypergeometric motive splits into two irreducible motives.

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References

  1. Bosma, W., Cannon, J.J., Fieker, C., Steel, A. (eds.): Handbook of Magma Functions, 2.19 edn., 5291 pp. (2013)

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  2. Mestre, J.-F.: Formules explicites et minorations de conducteurs de de variétés algébriques. Compos. Math. 58, 209–232 (1986)

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Acknowledgements

I thank the organizers and local staff for the excellent conference. My attendance at the MATRIX Institute was supported by the conference and by grant DMS-1601350 from the National Science Foundation.

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Correspondence to David P. Roberts .

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Roberts, D.P. (2019). The Explicit Formula and a Motivic Splitting. In: de Gier, J., Praeger, C., Tao, T. (eds) 2017 MATRIX Annals. MATRIX Book Series, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-030-04161-8_32

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