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Twisted Eisenstein series, cotangent‐zeta sums, and quantum modular forms

Transactions of the London Mathematical Society, Volume 7, Issue 1, Page 33-48, December 2020., 2020
Abstract We define twisted Eisenstein series Es±(h,k;τ) for s∈C, and show how their associated period functions, initially defined on the upper half complex plane H, have analytic continuation to all of C′:=C∖R⩽0. We also use this result, as well as properties of various zeta functions, to show that certain cotangent‐zeta sums behave like quantum ...
Amanda Folsom
wiley +1 more source

p‐adic L‐functions on metaplectic groups

Journal of the London Mathematical Society, Volume 102, Issue 1, Page 229-256, August 2020., 2020
Abstract With respect to the analytic‐algebraic dichotomy, the theory of Siegel modular forms of half‐integral weight is lopsided; the analytic theory is strong, whereas the algebraic lags behind. In this paper, we capitalise on this to establish the fundamental object needed for the analytic side of the Iwasawa main conjecture — the p‐adic L‐function ...
Salvatore Mercuri
wiley +1 more source

Assignment of groups responsible for the "opsin shift" and light absorptions of rhodopsin and red, green, and blue iodopsins (cone pigments). [PDF]