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Search: All articles in the CMB digital archive with keyword $p$-adic

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1. CMB 2017 (vol 61 pp. 174)

Roche, Alan; Vinroot, C. Ryan
 A factorization result for classical and similitude groups For most classical and similitude groups, we show that each element can be written as a product of two transformations that a) preserve or almost preserve the underlying form and b) whose squares are certain scalar maps. This generalizes work of Wonenburger and Vinroot. As an application, we re-prove and slightly extend a well known result of MÅglin, VignÃ©ras and Waldspurger on the existence of automorphisms of $p$-adic classical groups that take each irreducible smooth representation to its dual. Keywords:classical group, similitude group, involution, $p$-adic group, dual of representationCategories:20G15, 22E50

2. CMB 2017 (vol 61 pp. 608)

Loeffler, David
 A note on $p$-adic Rankin-Selberg $L$-functions We prove an interpolation formula for the values of certain $p$-adic Rankin-Selberg $L$-functions associated to non-ordinary modular forms. Keywords:$p$-adic $L$-function, Iwasawa theoryCategories:11F85, 11F67, 11G40, 14G35
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