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Index of lists with the same name
zeta function Local zeta function of a characteristic-p variety Matsumoto zeta function Minakshisundaram–Pleijel zeta function of a Laplacian Motivic
List_of_zeta_functions
In algebraic geometry, the motivic zeta function of a smooth algebraic variety X {\displaystyle X} is the formal power series: Z ( X , t ) = ∑ n = 0 ∞
Motivic_zeta_function
hence their L-functions are motivic. Several conjectures exist concerning motivic L-functions. It is believed that motivic L-functions should all arise
Motivic_L-function
Generalizations of the Riemann zeta function
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 >
Multiple_zeta_function
Generalization of the Riemann zeta function for algebraic number fields
the Dedekind zeta function of an algebraic number field K, usually denoted ζ K ( s ) {\displaystyle \zeta _{K}(s)} , is an analytic function that represents
Dedekind_zeta_function
German mathematician (born 1961)
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
Lothar_Göttsche
Structure in algebraic geometry
algebra.) Ring of periods Motivic cohomology Presheaf with transfers Mixed Hodge module Motivic L-function Nori motive motivic sheaf Beilinson, Alexander;
Motive_(algebraic_geometry)
Mathematical concept
natural realm of examples for which equivalence between motivic and automorphic L-functions postulated in the Langlands program can be tested. Automorphic
Shimura_variety
Type of character in number theory
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 have
Hecke_character
Subfield of number theory
Prime Zeta Modulo Functions for small moduli", arXiv:1008.2547 [math.NT] L-funktionen und die Vermutingen von Deligne und Beilinson (L-functions and the
Special_values_of_L-functions
On generating functions from counting points on algebraic varieties over finite fields
number theory. The conjectures concern the generating functions (known as local zeta functions) derived from counting points on algebraic varieties over
Weil_conjectures
English-French mathematician
on Tate Motives. He also works on Zeta functions in quantum field theory. He was elected a Fellow of the Royal Society in 2026. Multiple zeta values and
Francis_Brown_(mathematician)
conjecture introduced by Goncharov suggesting that the cohomology of certain motivic complexes coincides with pieces of K-groups. It extends a conjecture due
Goncharov_conjecture
American mathematician
to special values of the Riemann zeta function. Zagier found a formula for the value of the Dedekind zeta function of an arbitrary number field at s = 2
Don_Zagier
French number theorist
diophantiennes de la fonction zêta de Riemann aux entiers impairs (Diophantine properties of the Riemann zeta function at odd integers). Rivoal's research
Tanguy_Rivoal
Belgian mathematician
Mathematics Genealogy Project Denef, Jan; Loeser, François (1998). "Motivic Igusa zeta functions". Journal of Algebraic Geometry. 7 (3): 505–537. MR 1618144.
Jan_Denef
Number, approximately 3.14
{\displaystyle \zeta (s)=2^{s}\pi ^{s-1}\ \sin \left({\frac {\pi s}{2}}\right)\ \Gamma (1-s)\ \zeta (1-s).} Furthermore, the derivative of the zeta function satisfies
Pi
could be applied to the counting in local zeta-functions. For later history see motive (algebraic geometry), motivic cohomology. Weil conjectures The Weil
Glossary of arithmetic and diophantine geometry
Glossary_of_arithmetic_and_diophantine_geometry
German mathematician (born 1958)
MR 1307961 Deninger, Christopher (1994b), "Motivic L-functions and regularized determinants", Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math.
Christopher_Deninger
Analogs of homology groups for algebraic varieties
Voevodsky, Vladimir (2000), "Triangulated categories of motives over a field", Cycles, Transfers, and Motivic Homology Theories, Princeton University Press, pp
Chow_group
Unsolved problem in geometry
groups, which can also be expressed as motivic cohomology groups, by a variant known as étale (or Lichtenbaum) motivic cohomology. They show that the rational
Hodge_conjecture
American mathematician
motivic Bloch–Kato conjecture relating Milnor K-theory and Galois cohomology in 1986 and the Bloch–Kato conjectures for special values of L-functions
Spencer_Bloch
French mathematician (born 1958)
retrieved 2015-11-16. Denef, Jan; Loeser, François (1998). "Motivic Igusa zeta functions". Journal of Algebraic Geometry. 7 (3): 505–537. MR 1618144.
François_Loeser
∣ ζ p n = 1 } {\displaystyle \mu _{p^{n}}=\left\{\zeta \in {\bar {\mathbf {Q} }}^{\times }\mid \zeta ^{p^{n}}=1\right\}} form a cyclic group of order p
Cyclotomic_character
Finite extension of the rationals
equation for the zeta-function are needed to define the function for all s). The Dedekind zeta-function generalizes the Riemann zeta-function in that ζ Q {\displaystyle
Algebraic_number_field
Mathematical conjectures in class field theory
{\displaystyle \rho } of the Weil group of F {\displaystyle F} there is an L-function L ( s , ρ ) {\displaystyle L(s,\rho )} and a local ε-factor ε ( s , ρ
Local_Langlands_conjectures
Russian mathematician (born 1962)
Geometry at the International Congress of Mathematicians in Berlin. Goss zeta function Mikhail M. Kapranov at the Mathematics Genealogy Project "Mikhail Kapranov"
Mikhail_Kapranov
Mobile Suit Zeta Gundam is a Japanese science fiction anime television series that originally aired on Nagoya Broadcasting Network between March 2, 1985
List of Mobile Suit Zeta Gundam characters
List_of_Mobile_Suit_Zeta_Gundam_characters
group of the ring of integers of a number field to the field's Dedekind zeta function. Casas-Alvero conjecture: if a polynomial of degree d {\displaystyle
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Numbers expressible as integrals of algebraic functions
Belkale, Prakash; Brosnan, Patrick (2003). "Periods and Igusa local zeta functions". International Mathematics Research Notices. 2003 (49): 2655. doi:10
Period_(number_theory)
American mathematician
with J. Rogawski: "Motives for Hilbert modular forms", Inv. Math., vol. 114, 1993, pp. 55–89 with J. Rogawski: "Zeta functions of Shimura varieties"
Don_Blasius
Conjecture in algebraic geometry
the strong Tate conjecture, namely that the order of the pole of the zeta function Z ( X , t ) {\displaystyle Z(X,t)} at t = q − j {\displaystyle t=q^{-j}}
Tate_conjecture
Branch of algebraic geometry
Dwork proved one of the four Weil conjectures (rationality of the local zeta function) in 1960. Grothendieck developed étale cohomology theory to prove two
Arithmetic_geometry
Theoretical object in mathematics
series of lectures on zeta functions where he proposed developing a theory of algebraic geometry over F1. He suggested that zeta functions of varieties over
Field_with_one_element
American mathematician (born 1945)
for the interesting factor of their zeta functions. For exponential sums, they expressed the degree of the L-function (or its reciprocal) given in terms
Steven_Sperber
Indian-American mathematician
Belkale, Prakash; Brosnan, Patrick (2003). "Periods and Igusa Local Zeta functions". Int. Math. Res. Not. 2003 (49): 2655–2670. doi:10.1155/S107379280313142X
Prakash_Belkale
Point not touching any other point
(7 May 2020) [Published in French on 12 April 2018]. Zeta and L-Functions of Varieties and Motives. London Mathematical Society Lecture Note Series. Cambridge
Closed_point
Prize awarded by the American Mathematical Society
1090/S0002-9904-1959-10317-7. Dwork, Bernard (1960). "On the rationality of the zeta function of an algebraic variety". American Journal of Mathematics. 82 (3): 631–648
Cole_Prize
How spheres of various dimensions can wrap around each other
trying to find. The motivic Adams spectral sequence converges to the motivic stable homotopy groups of spheres. By comparing the motivic one over the complex
Homotopy_groups_of_spheres
Japanese mathematician (1930–2019)
work provided examples for which the equivalence between motivic and automorphic L-functions postulated in the Langlands program could be tested: automorphic
Goro_Shimura
classical trilogarithm, algebraic K-theory of fields, and Dedekind zeta-functions" (PDF). Bull. AMS. pp. 155–162. Neumann, W.D. (2004). "Extended Bloch
Bloch_group
D) is p-summable, one may define its zeta function ζD(s) = Tr(|D|−s); more generally there are zeta functions ζb(s) = Tr(b|D|−s) for each element b in
Spectral_triple
Artin, 1972, p. 413. Lars Brünjes, Forms of Fermat equations and their zeta functions, Appendix A Artin, Michael (1972). Alexandre Grothendieck; Jean-Louis
Pseudo-abelian_category
Weil cohomology theory for schemes X over a base field k
analytic functions. (Cf. also the rigid analytic spaces introduced by John Tate, in the 1960s, when these matters were actively being debated.) Motivic cohomology
Crystalline_cohomology
Mathematics award
(r≥1) over function fields of positive characteristic." Vladimir Voevodsky Institute for Advanced Study, US "He defined and developed motivic cohomology
Fields_Medal
Mathematical conjecture
conjecture at the prime 2 (PDF) Lichtenbaum, Stephen (1973), "Values of zeta-functions, étale cohomology, and algebraic K-theory", in Bass, H. (ed.), Algebraic
Quillen–Lichtenbaum conjecture
Quillen–Lichtenbaum_conjecture
Japanese anime television series
"fascistic" and a "police state". Whitbrook compared the premise of GQuuuuuuX to Zeta Gundam, describing it as "imagining what life looks like in a post-war world
Mobile_Suit_Gundam_GQuuuuuuX
of Science Fiction, Orbit, ISBN 1-85723-124-4 "Back to the Future: The Function of Supporting Characters". 24 July 2015. Barna William Donovan (2010),
List_of_stock_characters
French mathematician (1928–2014)
has been behind modern developments in algebraic K-theory, motivic homotopy theory, and motivic integration. This theory, Daniel Quillen's work, and Grothendieck's
Alexander_Grothendieck
Failure to think in nuances
(eds.). Studia Phaenomenologica: Vol. XV / 2015 – Early Phenomenology. Zeta Booksa. p. 234. Bleuler, Eugen (1908). "Die Prognose der Dementia Praecox
Splitting_(psychology)
Study of objects of arithmetic interest over infinite towers of number fields
number field Sources Coates, J.; Sujatha, R. (2006), Cyclotomic Fields and Zeta Values, Springer Monographs in Mathematics, Springer-Verlag, ISBN 978-3-540-33068-4
Iwasawa_theory
the effect of altering the motive force experienced by the mobile liquid atoms in the double layer. This change in the zeta-potential can be used to control
FlowFET
38. Cohen 1999, p. 23. Abanes 1998, p. 283. Howard, G. M. (1976). "Men, Motives, and Misunderstandings: A New Look at the Morrisite War of 1862". Utah
List of dates predicted for apocalyptic events
List_of_dates_predicted_for_apocalyptic_events
Canadian mathematician
which the Hasse–Weil zeta functions of arithmetic quotients of the upper half plane are identified with L {\displaystyle L} -functions occurring in Hecke's
Robert_Langlands
False or misleading virus information
One idea used to support a laboratory origin invokes previous gain-of-function research on coronaviruses. Virologist Angela Rasmussen argued that this
COVID-19_misinformation
Equation describing a state of matter under a given set of conditions
is the chemical potential, Li is the polylogarithm, ζ is the Riemann zeta function, and Tc is the critical temperature at which a Bose–Einstein condensate
Equation_of_state
Varying application boundaries
there is something beyond the parts." Aristotle, Metaphysics. Book VIII (Zeta), chapter 6, 1045a8–10. See: The Complete Works of Aristotle: The Revised
Fuzzy_concept
Abelian group related to division algebras
n = b , u v = ζ v u ) . {\displaystyle (a,b)_{\zeta }=K\langle u,v\rangle /(u^{n}=a,v^{n}=b,uv=\zeta vu).} Cyclic algebras are the best-understood central
Brauer_group
Italian compact executive sedan
over-the-air software upgrades, an integrated emergency call function, and a call assistant function. The interior now has a leather-wrapped multifunction steering
Alfa_Romeo_Giulia_(2015)
Associative criminal group
other Colombian cartels, Mexican cartels like the Sinaloa Cartel and Los Zetas, and the Primeiro Comando da Capital in Brazil. Other examples are Jamaican
Gang
Empress of Russia from 1762 to 1796
early life. The television film Catherine the Great (1995) stars Catherine Zeta-Jones as Catherine and Jeanne Moreau as Empress Elizabeth. A teenage clone
Catherine_the_Great
was originally the name of a pool in Jerusalem, on the path of the Beth Zeta Valley, and is also known as the Sheep Pool. Its name in Aramaic means "House
Language_of_Jesus
Armed group that conducts extrajudicial killings
Mexico and groups like the Gulf Cartel would form death squads like Los Zetas to suppress, control, and uproot rival cartel factions. The PRI also used
Death_squad
Study of the relations between thermodynamics and quantum mechanics
{\frac {dT_{\text{c}}(t)}{dt}}\propto -T_{\text{c}}^{\zeta },~~~~~T_{\text{c}}\to 0,\;\;\quad {\zeta =\alpha -\eta +1}} This equation introduces the relation
Quantum_thermodynamics
French mathematician (1811–1832)
periodic if and only if ζ is a reduced surd, that is, ζ > 1 {\displaystyle \zeta >1} and its conjugate η {\displaystyle \eta } satisfies − 1 < η < 0 {\displaystyle
Évariste_Galois
The Sun in Albanian paganism
administration of the world into heaven, sea, and underworld, and in the same functions as the Greek deities Zeus, Poseidon, and Hades, they would have worshiped
Dielli_(Albanian_paganism)
Cytokine produced by lymphocytes
interferon-gamma. Each of these lymphokines does have its own role and specialized function with immune cells. The difference of performed actions actually benefits
Lymphokine
DC Comics superhero
Earth, Cyborg is temporarily fused with Firestorm due to Luthor altering the Zeta Beams the heroes were using to return home. After being severely damaged
Cyborg_(DC_Comics)
Yugoslavia from 1918 to 1941
it was against their interests to closely follow France. An additional motive to improve relations with Italy and Germany was Italy's support of the Ustase
Kingdom_of_Yugoslavia
them. However, it is also a fire hazard. Henry learns of the accident from zeta waves being emitted from individuals who were connected to Senator Wen's
List_of_Eureka_episodes
Subject area in mathematics
the development of (higher) algebraic K-theory through its links with motivic cohomology and specifically Chow groups. The subject also includes classical
Algebraic_K-theory
Mathematics glossary
glossary of topology are generally omitted. Abstract homotopy theory and motivic homotopy theory are also outside the scope. Glossary of category theory
Glossary of algebraic topology
Glossary_of_algebraic_topology
cosmic cycle and the rhythms of agricultural and pastoral life, with the function to give strength to the Sun and to ward off evil according to the old beliefs
Albanian_paganism
Organization of Reform Judaism in North America
believes may be altered or renewed to better fulfill Judaism's higher function. Another central tenet of Reform Judaism is the belief that it is the universal
Union_for_Reform_Judaism
1995 video game
fondo: Banzai – Gowcaizer". Superjuegos [es] (in Spanish). No. 46. Grupo Zeta. pp. 80–82. Schaedle, Wolfgang (March 1996). "Neo Geo CD - Reviews: Fantasy-Keilerei
Voltage_Fighter_Gowcaizer
Organized crime across national borders
Brothers' Circle from Russia, the Yamaguchi-gumi (Yakuza) from Japan, and Los Zetas from Mexico. The strength and sophistication of a task force's capabilities
Transnational_organized_crime
Sex and political scandal in Argentina 1942
(September 10, 2020). "Ni escándalo ni orgía: cacería de gays" (in Spanish). ArteZeta. Retrieved June 23, 2021. Demaría, 2020, p. 13. Demária, 2020, p. 14. Demaría
Cadet_scandal
a reference to the MSN-00100 Hyaku Shiki, a Mobile Suit from Mobile Suit Zeta Gundam. Remodeled Snow White (スノーホワイト改, Sunō Howaito Kai): A remodeled version
List of Ultraman Tiga characters
List_of_Ultraman_Tiga_characters
Croatia was created in 1939 out of the two Banates, as well as parts of the Zeta, Vrbas, Drina, and Danube Banates. It had a reconstructed Croatian Parliament
History_of_Croatia
in several respects to that in the main Universal Century's Mobile Suit Zeta Gundam: the "Calamity War" was similar in scope to the One Year War from
List of Mobile Suit Gundam: Iron-Blooded Orphans characters
List_of_Mobile_Suit_Gundam:_Iron-Blooded_Orphans_characters
competes for house points in the Song Fest but the results are rigged. As Zeta Beta Zeta fights to take their number one spot back, Casey is offered a position
List_of_Greek_episodes
reductase (quinol) EC 1.3.5.5: 15-cis-phytoene desaturase EC 1.3.5.6: 9,9'-dicis-zeta-carotene desaturase EC 1.3.7.1: 6-hydroxynicotinate reductase EC 1.3.7.2:
List_of_EC_numbers_(EC_1)
Israeli organized crime group
Internet cafes, convenience stores, soccer lottery outlets and nightclubs functioning as casinos. According to his lawyer, Abergil's involvement in the alleged
Abergil_crime_family
Impact of COVID-19 on political systems
abolished on 24 March 2020 after the political transition was completed, its functions were transferred on the responsible ministries. Health Experts Group was
Political impact of the COVID-19 pandemic
Political_impact_of_the_COVID-19_pandemic
and a decline in the non-Serbian. In 1929, Kosovo was split between the Zeta Banovina in the west with the capital in Cetinje, Vardar Banovina in the
History_of_Kosovo
Sheaf cohomology on the étale site
étale cohomology. This is how the theory could be applied to the local zeta-function of an algebraic curve. Theorem. Let X be a curve of genus g defined
Étale_cohomology
Albanian fire god and cult
to the cult of the Sun, and in particular they are practiced with the function to give strength to the Sun and to ward off evil according to the old beliefs
Enji_(deity)
Political declaration signed in 2008 in the Czech Republic
Neamtu, Mihail (ed.). History of Communism in Europe. Vol. 1. Bucharest: Zeta Books. pp. 243–265. "Parliament backs totalitarian 'remembrance day'". EurActiv
Prague_Declaration
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