hence their L-functions are motivic. Several conjectures exist concerning motivic L-functions. It is believed that motivic L-functions should all arise...

algebra.) Ring of periods Motivic cohomology Presheaf with transfers Mixed Hodge module Motivic L-function Nori motive motivic sheaf Beilinson, Alexander;...

Additionally, ζK(s) is the Hasse–Weil zeta function of Spec OK and the motivic L-function of the motive coming from the cohomology of Spec K. Two fields...

zeta function Local zeta function of a characteristic-p variety Matsumoto zeta function Minakshisundaram–Pleijel zeta function of a Laplacian Motivic zeta...

[X_{2}]} . The universal motivic measure gives rise to the motivic zeta function. Let L = [ A 1 ] {\displaystyle \mathbb {L} =[{\mathbb {A} }^{1}]} denote...

constructed by Voevodsky: motivic cohomology, motivic cohomology with compact support, Borel-Moore motivic homology (as above), and motivic homology with compact...

natural realm of examples for which equivalence between motivic and automorphic L-functions postulated in the Langlands program can be tested. Automorphic...

achievements of Deligne include the notion of cohomological descent, motivic L-functions, mixed sheaves, nearby vanishing cycles, central extensions of reductive...

formulated for general classes of L-functions (the very general setting being for L-functions associated to Chow motives over number fields), the division...

MR 1307961 Deninger, Christopher (1994b), "Motivic L-functions and regularized determinants", Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math....

to construct a class of L-functions larger than Dirichlet L-functions, and a natural setting for the Dedekind zeta-functions and certain others which...

1986 Iwasawa Theory and Motivic L-functions (2009) – Flach, Matthias On Galois structure invariants associated to Tate motives – Matthias Flach and D....

Bloch–Kato conjecture or the motivic Bloch–Kato conjecture to distinguish it from the Bloch–Kato conjecture on values of L-functions. The norm residue isomorphism...

in motivic cohomology", arXiv:math/0107109 Voevodsky, Vladimir (2008), "Motivic Eilenberg-Maclane spaces", arXiv:0805.4432 [math.AG] The motivic Adams...

In mathematics, the multiple zeta functions are generalizations of the Riemann zeta function, defined by ζ ( s 1 , … , s k ) = ∑ n 1 > n 2 > ⋯ > n k >...

PMID 12224551. Jaspersen, S. L.; Winey, M. (2004). "THE BUDDING YEAST SPINDLE POLE BODY: Structure, Duplication, and Function". Annual Review of Cell and...

generating function for the motives of the Hilbert schemes of S {\displaystyle S} can be expressed in terms of the motivic zeta function by Göttsche's...

In 1982, Beilinson published his own conjectures about the existence of motivic cohomology groups for schemes, provided as hypercohomology groups of a...

Venkatesh, Akshay (2021). "Automorphic cohomology, motivic cohomology, and the adjoint L-function". Astérisque. 428. ISBN 978-2-85629-943-2. Darmon, Henri;...

been recent connections between these invariants, the motivic Hall algebra, and the ring of functions on the quantum torus. The moduli space of lines on...

n-dimensional Weil–Deligne representation ρ of the Weil group of F there is an L-function L(s,ρ) and a local ε-factor ε(s,ρ,ψ) (depending on a character ψ of F)...

MR 0354656 Kahn, Bruno (2020), "The zeta function of an abelian variety", Zeta and L-Functions of Varieties and Motives, London Mathematical Society Lecture...

motivic Bloch–Kato conjecture relating Milnor K-theory and Galois cohomology in 1986 and the Bloch–Kato conjectures for special values of L-functions...

and L(.) is real money demand. An alternate name for L ( R , Y ) {\displaystyle L(R,Y)} is the liquidity preference function. The transactions motive for...

of another POU. DRAKON-chart UML activity diagram Continuous Function Chart Fernandez, J. L.; Sanz, R.; Paz, E.; Alonso, C. (19–23 May 2008). "Using hierarchical...

S2CID 54889038. Connes, Alain; Marcolli, Matilde (2004). "Renormalization and motivic Galois theory". International Mathematics Research Notices. 2004 (76):...

musical motives), although more likely intended as a parlor game than an actual cipher. Since the compound symbols are musically meaningful motives, these...

systems, on-board electronics, and other functions. Payload capacity is in excess of 2,300 kg (5,100 lbs). Both Oshkosh L-ATV variants have a common crew protection...

foremast, which is square-rigged. barrack ship A ship or craft designed to function as a floating barracks for housing military personnel. barratry In admiralty...

Arithmetic Geometry over Global Function Fields (2014), 283-337. Proposition 5.1.2 and Theorem 6.3.1. J. Tate. Motives (1994), Part 1, 71-83. Theorem 5...