On the Waldspurger formula and the metaplectic Ramanujan conjecture over number fields
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DOI: 10.1016/j.jfa.2019.05.013
Abstract: In this paper, by inputting the Bessel identities over the complex field in previous work of the authors, the Waldspurger formula of Baruch and Mao is extended from totally real fields to arbitrary number fields.… read more here.
Keywords: number; ramanujan conjecture; number fields; formula metaplectic ... See more keywords
A $p$-adic Waldspurger formula
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DOI: 10.1215/00127094-2017-0045
Abstract: In this article, we study $p$-adic torus periods for certain $p$-adic valued functions on Shimura curves coming from classical origin. We prove a $p$-adic Waldspurger formula for these periods, generalizing the recent work of Bertolini,… read more here.
Keywords: function; adic waldspurger; waldspurger formula; formula ... See more keywords