\(p\)-adic measures and square roots of special values of triple product \(L\)-functions

DOI10.1007/PL00004465zbMath1034.11034arXivmath/9610228OpenAlexW2067544883WikidataQ102398460 ScholiaQ102398460MaRDI QIDQ5947126

Jacques Tilouine, Michael Harris

Publication date: 21 October 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9610228

zbMATH Keywords

central L-valuesp-adic interpolationp-adic measurestriple product L-functions

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (p)-adic theory, local fields (11F85) Arithmetic aspects of modular and Shimura varieties (11G18)

Related Items (13)

Square root \(p\)-adic \(L\)-functions. I: Construction of a one-variable measure ⋮ \(p\)-adic and analytic properties of period integrals and values of \(L\)-functions ⋮ Power series expansions of modular forms and p-adic interpolation of the square roots of Rankin–Selberg special values ⋮ Codimension two cycles in Iwasawa theory and tensor product of Hida families ⋮ Finite slope triple product \(p\)-adic \(L\)-functions over totally real number fields ⋮ \(p\)-adic interpolation of square roots of central \(L\)-values of modular forms ⋮ On the search of genuine $p$-adic modular $L$-functions for $GL(n)$. With a correction to: On $p$-adic $L$-functions of $GL(2)\times{}GL(2)$ over totally real fields ⋮ POWER SERIES EXPANSIONS OF MODULAR FORMS AND THEIR INTERPOLATION PROPERTIES ⋮ Derivative at \(s = 1\) of the \(p\)-adic \(L\)-function of the symmetric square of a Hilbert modular form ⋮ \(p\)-adic interpolation of Taylor coefficients of modular forms ⋮ Triple product \(p\)-adic \(L\)-functions associated to finite slope \(p\)-adic families of modular forms ⋮ Triple product \(p\)-adic \(L\)-functions for balanced weights ⋮ Higher Hida theory and \(p\)-adic \(L\)-functions for \(\mathrm{GSp}_4\)

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