Some estimates for diagonal equations over p-adic fields

M. Dodson

Displaying similar documents to “Some estimates for diagonal equations over p-adic fields”

Diagonal equations of different degrees over p-adic fields

Michael P. Knapp (2007)

Acta Arithmetica

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Simultaneous diagonal equations over 𝔭-adic fields

D. Brink, H. Godinho, P. H. A. Rodrigues (2008)

Acta Arithmetica

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$p$ -adic Abelian Stark conjectures at $s = 1$

David Solomon (2002)

Annales de l’institut Fourier

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A $p$ -adic version of Stark’s Conjecture at $s = 1$ is attributed to J.-P. Serre and stated (faultily) in Tate’s book on the Conjecture. Building instead on our previous paper (and work of Rubin) on the complex abelian case, we give a new approach to such a conjecture for real ray-class extensions of totally real number fields. We study the coherence of our $p$ -adic conjecture and then formulate some integral refinements, both alone and in combination with its complex analogue. A ‘Weak Combined...