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- Motivic_L-function abstract "In mathematics, motivic L-functions are a generalization of Hasse–Weil L-functions to general motives over global fields. The local L-factor at a finite place v is similarly given by the characteristic polynomial of a Frobenius element at v acting on the v-inertial invariants of the v-adic realization of the motive. For infinite places, Jean-Pierre Serre gave a recipe in (Serre 1970) for the so-called Gamma factors in terms of the Hodge realization of the motive. It is conjectured that, like other L-functions, that each motivic L-function can be analytically continued to a meromorphic function on the entire complex plane and satisfies a functional equation relating the L-function L(s, M) of a motive M to L(1 − s, M∨), where M∨ is the dual of the motive M.".
- Motivic_L-function wikiPageExternalLink icm1978.1.0165.0176.ocr.pdf.
- Motivic_L-function wikiPageExternalLink item?id=SDPP_1969-1970__11_2_A4_0.
- Motivic_L-function wikiPageExternalLink lfunct-ps.pdf.
- Motivic_L-function wikiPageExternalLink pspum332-ptIV-8.pdf.
- Motivic_L-function wikiPageID "31744361".
- Motivic_L-function wikiPageLength "4098".
- Motivic_L-function wikiPageOutDegree "27".
- Motivic_L-function wikiPageRevisionID "604286360".
- Motivic_L-function wikiPageWikiLink Algebraic_number_theory.
- Motivic_L-function wikiPageWikiLink American_Mathematical_Society.
- Motivic_L-function wikiPageWikiLink Analytic_continuation.
- Motivic_L-function wikiPageWikiLink Artin_L-function.
- Motivic_L-function wikiPageWikiLink Atkin–Lehner_theory.
- Motivic_L-function wikiPageWikiLink Automorphic_L-function.
- Motivic_L-function wikiPageWikiLink Category:Algebraic_geometry.
- Motivic_L-function wikiPageWikiLink Category:Zeta_and_L-functions.
- Motivic_L-function wikiPageWikiLink Characteristic_polynomial.
- Motivic_L-function wikiPageWikiLink Complex_plane.
- Motivic_L-function wikiPageWikiLink Cusp_form.
- Motivic_L-function wikiPageWikiLink Frobenius_endomorphism.
- Motivic_L-function wikiPageWikiLink Functional_equation.
- Motivic_L-function wikiPageWikiLink Global_field.
- Motivic_L-function wikiPageWikiLink Hasse–Weil_zeta_function.
- Motivic_L-function wikiPageWikiLink Jean-Pierre_Serre.
- Motivic_L-function wikiPageWikiLink L-function.
- Motivic_L-function wikiPageWikiLink Mathematics.
- Motivic_L-function wikiPageWikiLink Meromorphic_function.
- Motivic_L-function wikiPageWikiLink Motive_(algebraic_geometry).
- Motivic_L-function wikiPageWikiLink Ramification_group.
- Motivic_L-function wikiPageWikiLink Riemann_zeta_function.
- Motivic_L-function wikiPageWikiLink Selberg_class.
- Motivic_L-function wikiPageWikiLink Special_values_of_L-functions.
- Motivic_L-function wikiPageWikiLinkText "".
- Motivic_L-function wikiPageWikiLinkText "motivic ''L''-function".
- Motivic_L-function wikiPageUsesTemplate Template:Citation.
- Motivic_L-function wikiPageUsesTemplate Template:Harv.
- Motivic_L-function wikiPageUsesTemplate Template:L-functions-footer.
- Motivic_L-function wikiPageUsesTemplate Template:Reflist.
- Motivic_L-function subject Category:Algebraic_geometry.
- Motivic_L-function subject Category:Zeta_and_L-functions.
- Motivic_L-function hypernym Generalization.
- Motivic_L-function type Function.
- Motivic_L-function comment "In mathematics, motivic L-functions are a generalization of Hasse–Weil L-functions to general motives over global fields. The local L-factor at a finite place v is similarly given by the characteristic polynomial of a Frobenius element at v acting on the v-inertial invariants of the v-adic realization of the motive. For infinite places, Jean-Pierre Serre gave a recipe in (Serre 1970) for the so-called Gamma factors in terms of the Hodge realization of the motive.".
- Motivic_L-function label "Motivic L-function".
- Motivic_L-function sameAs Q17098109.
- Motivic_L-function sameAs m.0gtt8zr.
- Motivic_L-function sameAs Q17098109.
- Motivic_L-function wasDerivedFrom Motivic_L-function?oldid=604286360.
- Motivic_L-function isPrimaryTopicOf Motivic_L-function.