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Potential counterexample to the generalized Riemann hypothesis
theory, a Landau–Siegel zero or simply Siegel zero, also known as an exceptional zero, named after Edmund Landau and Carl Ludwig Siegel, is a type of potential
Siegel_zero
German mathematician (1896–1981)
contributions to the Thue–Siegel–Roth theorem in Diophantine approximation, Siegel's method, Siegel's lemma and the Siegel mass formula for quadratic
Carl_Ludwig_Siegel
Surname list
rower Brauer–Siegel theorem Gelfand–Naimark–Segal construction Siegel modular form Segal space Newell–Whitehead–Segel equation Siegel zero All pages with
Siegel
Theorems whose content is effectively computable
class number 1 problem The 1935 result on the Siegel zero The Siegel–Walfisz theorem based on the Siegel zero. The concrete information that was left theoretically
Effective results in number theory
Effective_results_in_number_theory
global L-functions should be automorphic. The Siegel zero, conjectured not to exist, is a possible real zero of a Dirichlet L-series, rather near s = 1.
Grand_Riemann_hypothesis
Chinese-born American mathematician
179.3.7. Zhang, Yitang (2022). "Discrete mean estimates and the Landau-Siegel zero". arXiv:2211.02515 [math.NT]. Yitang Zhang at the Mathematics Genealogy
Yitang_Zhang
Conjecture in number theory
powers. The L-function L(s, χd) formed with the Legendre symbol, has no Siegel zero, given a uniform version of the abc conjecture in number fields, not
Abc_conjecture
Conjecture on zeros of the zeta function
Dirichlet L-functions. In particular it implies the conjecture that Siegel zeros (zeros of L-functions between 1/2 and 1) do not exist. The extended Riemann
Riemann_hypothesis
Type of mathematical function
non-trivial zeros lie on the critical line Re ( s ) = 1 / 2 {\displaystyle \operatorname {Re} (s)=1/2} . Up to the possible existence of a Siegel zero, zero-free
Dirichlet_L-function
Type of polynomial
the hypothetical Siegel zero near s = 1. While numerical results for small cases had indicated that there were few such real zeroes, further analysis
Fekete_polynomial
Finitely many for a smooth algebraic curve of genus > 0 defined over a number field
In mathematics, Siegel's theorem on integral points states that a curve of genus greater than zero has only finitely many integral points over any given
Siegel's theorem on integral points
Siegel's_theorem_on_integral_points
In mathematics, the Smith–Minkowski–Siegel mass formula (or Minkowski–Siegel mass formula) is a formula for the sum of the weights of the lattices (quadratic
Smith–Minkowski–Siegel mass formula
Smith–Minkowski–Siegel_mass_formula
Mathematical function
the argument is one-half. It is also called the Riemann–Siegel Z function, the Riemann–Siegel zeta function, the Hardy function, the Hardy Z function
Z_function
constant De Bruijn–Newman constant Dirichlet character Dirichlet L-series Siegel zero Dirichlet's theorem on arithmetic progressions Linnik's theorem Elliott–Halberstam
List_of_number_theory_topics
to E-functions is the Siegel–Shidlovsky theorem (also known as the Siegel and Shidlovsky theorem), named after Carl Ludwig Siegel and Andrei Borisovich
E-function
American mathematician (born 1947)
one variable. He has also made contributions to the understanding of Siegel zeroes, to the ABC conjecture, to modular forms on GL ( n ) {\displaystyle
Dorian_M._Goldfeld
Mathematical conjecture on the Riemann zeta function
Harman, and Pintz estimates for the Legendre conjecture and better Siegel-zero-free regions could also be expected, among others. The Riemann zeta function
Lindelöf_hypothesis
Jewish-Polish mathematician
books. By using a theorem by Carl Ludwig Siegel providing an upper bound for the real zeros (see Siegel zero) of Dirichlet L-functions formed with real
Arnold_Walfisz
probability e−μ/2 at zero; thus it is a mixture of discrete and continuous distributions Siegel, A. F. (1979), "The noncentral chi-squared distribution with zero degrees
Zero_degrees_of_freedom
Algebraic numbers are not near many rationals
In mathematics, Roth's theorem or Thue–Siegel–Roth theorem is a fundamental result in diophantine approximation to algebraic numbers. It is of a qualitative
Roth's_theorem
Dirichlet L-function affects the location of the zeros of other Dirichlet L-functions. Siegel zero Deuring, M. (1933), "Imaginäre quadratische Zahlkörper
Deuring–Heilbronn_phenomenon
American mathematician
doi:10.2307/2118638 with P. Lockhart Coefficients of Maass forms and the Siegel zero, Annals of Mathematics, vol. 140, 1994, pp. 161–181 doi:10.2307/2118543
Jeffrey_Hoffstein
DC Comics superhero
Superman is a superhero created by writer Jerry Siegel and artist Joe Shuster, first appearing in issue #1 of Action Comics, published in the United States
Superman
Mathematical function
In mathematics, the Riemann–Siegel theta function is defined in terms of the gamma function as θ ( t ) = arg ( Γ ( 1 4 + i t 2 ) ) − log π 2 t {\displaystyle
Riemann–Siegel_theta_function
Quality of zero being an even number
acquaintance: (1) Is zero an even number? ... Many couples disagree..." Wilden & Hammer 1987, p. 104 Snow 2001; Morgan 2001 Steinberg 1999; Siegel 1999; Stingl
Parity_of_zero
Measurement of risk in a portfolio
most widely used models are polynomial functions and Nelson-Siegel functions (Nelson and Siegel (1987)). Here, polynomial functions are usually of the form
Fixed-income_attribution
Lowest possible energy of a quantum system or field
Zero-point energy (ZPE) is the lowest possible energy that a quantum mechanical system may have. Unlike in classical mechanics, quantum systems constantly
Zero-point_energy
Algebraic variety that is a moduli space for principally polarized abelian varieties
Kodaira dimension zero. Siegel modular varieties cannot be anabelian. Siegel modular forms arise as vector-valued differential forms on Siegel modular varieties
Siegel_modular_variety
1970 novel by Poul Anderson
Tau Zero is a hard science fiction novel by American writer Poul Anderson. The novel was based upon the short story "To Outlive Eternity" appearing in
Tau_Zero
2023 film by Joe Carnahan
Williams and Tai Duncan through Zero Gravity Management, Warren Goz and Eric Gold through Sculptor Media, Butler and Alan Siegel through their company G-BASE
Copshop
2016 American film
make his debut. Williams and Butler would produce the film along with Alan Siegel, Voltage Pictures would handle the international sales for the film. Nicolas
A_Family_Man
Type of game defined in mathematics
Games |". Mathenchant.wordpress.com. 2015-08-12. Retrieved 2019-01-09. Siegel, Aaron (20 November 2023). Combinatorial Game Theory. American Mathematical
Hot_game
Analytic function in mathematics
zeros and the distribution of prime numbers. This paper also contained the Riemann hypothesis, a conjecture about the distribution of complex zeros of
Riemann_zeta_function
1973 film by Don Siegel
Rory Gallagher and 'Nine Below Zero'. Maidstone, Kent, UK: SPG Triumph, 2005. ISBN 978-0-9550-3200-4. Siegel, Don. A Siegel Film: An Autobiography. New York:
Charley_Varrick
1955 mathematics book by Constance Reid
to Infinity, 5th ed.", MathSciNet, MR 2198198 Siegel, Murray H. (February 2007), "Review of From Zero to Infinity, 5th ed.", Mathematics Teaching in
From_Zero_to_Infinity
DC Comics character
Phantom Girl first appeared in Action Comics #276, and was created by Jerry Siegel and Jim Mooney. In the original pre-Crisis continuity, Phantom Girl is the
Phantom_Girl
Russian mathematician
pp. 519–527. with E. Balslev: Selberg's eigenvalue conjecture and the Siegel zeros for Hecke L-series, in: Analysis on Homogeneous Spaces and Representation
Alexei_Venkov
Statistical hypothesis test
The test was popularized by Sidney Siegel (1956) in his influential textbook on non-parametric statistics. Siegel used the symbol T for the test statistic
Wilcoxon_signed-rank_test
American action drama film by Nicolas Winding Refn
Hendricks, and Ron Perlman. Producers Marc Platt and Adam Siegel optioned the source novel after Siegel read a review from Publishers Weekly. Adapting the book
Drive_(2011_film)
American actor (born 1996)
Archived from the original on June 30, 2018. Retrieved February 16, 2017. Siegel, Lucas (July 24, 2016). "Tony Revolori Confirmed as Flash Thompson in Spider-Man:
Tony_Revolori
Proposed Islamic community center in Manhattan, New York
Near Ground Zero". Talking Points Memo. August 6, 2010. Archived from the original on March 10, 2018. Retrieved March 9, 2018. Joel Siegel (July 19, 2010)
Park51
Restriction of a theta function
or more generally may be an element of a Siegel upper half plane in which case the theta constants are Siegel modular forms. The theta function of a lattice
Theta_constant
American actress (born 1982)
the original on September 9, 2019. Retrieved August 21, 2008. Siegel, Barbara; Siegel, Scott (May 16, 2006). "cagelove, Review on TheaterMania". Archived
Gillian_Jacobs
Soft drink with little or no sugar or calories
Diet soft drinks (also known as sugar-free, zero-calorie, low-calorie or zero-sugar soda, pop, or soft drinks) are soft drinks which contain little or
Diet_soft_drink
2013 film by Marc Forster
original on June 17, 2011. Retrieved November 20, 2008. Fleming, Michael; Siegel, Tatiana (November 13, 2008). "Forster joins in Paramount's War". Variety
World_War_Z_(film)
Local theory of several complex variables
a unit and w is some sort of distinguished Weierstrass polynomial. Carl Siegel has disputed the attribution of the theorem to Weierstrass, saying that
Weierstrass preparation theorem
Weierstrass_preparation_theorem
American comedy horror film series
2023. "Cabin Fever: Patient Zero (2014)". Rotten Tomatoes. Fandango Media. Retrieved February 10, 2023. "Cabin Fever: Year Zero (2014)". The Numbers. Nash
Cabin_Fever_(franchise)
American animated musical fantasy film
finished Aladdin, but the project got backburnered again. Kits, Borys; Siegel, Tatiana (January 21, 2007). "Disney on mission for "Mars" rights". The
Hercules_(1997_film)
2013 film by Zack Snyder
2009, a court ruling resulted in Jerry Siegel's family recapturing the rights to Superman's origins and Siegel's copyright. The decision stated that Warner
Man_of_Steel_(film)
Video-sharing platform
from my videos – YouTube Help". Google Inc. Retrieved September 17, 2017. Siegel, Joshua; Mayle, Doug (December 9, 2010). "Up, Up and Away – Long videos
YouTube
1939 American melodramatic film directed by Sidney Salkow
The Zero Hour is a 1939 American drama film directed by Sidney Salkow. A kindly theatrical producer mentors a beautiful young girl and helps her to become
The_Zero_Hour_(1939_film)
Plays in 'A Monster Calls'". Cinemablend. Retrieved 24 September 2016. Siegel, Tatiana (22 September 2016). "'Spider-Man' Star Tom Holland's Surprising
List of roles and awards of Tom Holland
List_of_roles_and_awards_of_Tom_Holland
American actor (born 1949)
in 1973. He worked in soap operas and had a starring role as lawyer Tim Siegel on One Life to Live. His feature film debut was the lead in Rush It, an
Tom_Berenger
List of television series episodes
following a paper trail that will expose the treachery of greed. 489 8 "Nancy Siegel" October 25, 2020 (2020-10-25) After a John Doe is found murdered at a Virginia
List_of_Snapped_episodes
Games played in gambling facilities
doubles and splits.) In American roulette, there are two "zeroes" (0, 00) and 36 non-zero numbers (18 red and 18 black). This leads to a higher house
Casino_game
(director); Tommy Wiseau (screenplay); Bob Odenkirk, Mike Flanagan, Kate Siegel, Bella Heathcote, Arturo Castro, Greg Sestero, Cameron Kasky, Brando Crawford
List of American films of 2026
List_of_American_films_of_2026
Relationships among bond yields of different maturities
rates. Official sources distinguish several ways to summarize it, including zero-coupon or "spot" curves, implied forward curves and par yield curves, each
Yield_curve
Ongoing armed conflict in West Asia
حجر» تا «بهترش را میسازیم». BBC News Persian (in Persian). 3 April 2026. Siegel, Tobias; Halperin, Sam (2 April 2026). "IDF Kills Iranian Ballistic Missile
2026_Iran_war
Swedish actor and model (born 1990)
the original on 15 December 2018. Retrieved 6 October 2017. Kit, Borys; Siegel, Tatiana (2 June 2016). "Stephen King's 'It' Adaptation Finds Its Pennywise
Bill_Skarsgård
2011–16 DC Comics relaunch
first anniversary of The New 52 launch, all titles would get a zero issue, dubbed "Zero Month". In addition, the Third Wave of titles was announced: Talon
The_New_52
Positive-definite integral set of repeated points with Abelian group-rank 24
Niemeier lattice corresponding to w is w⊥/w. Umbral moonshine Smith Minkowski Siegel mass formula#Dimension n = 24 Chenevier, Gaëtan; Lannes, Jean (2014), Formes
Niemeier_lattice
Construction in transcendental number theory
Principle Thue, and later Siegel, managed to prove the existence of auxiliary functions which, for example, took the value zero at many different points
Auxiliary_function
British actor (born 1996)
the original on 30 July 2023. Retrieved 6 March 2026 – via Yahoo News. Siegel, Tatiana (9 November 2016). "Tom Holland Learned He Got His 'Spider-Man:
Tom_Holland
Screening". The Hollywood Reporter. Retrieved October 10, 2016. Kit, Borys; Siegel, Tatiana (February 12, 2015). "Willem Dafoe Joining Matt Damon in Legendary's
Willem Dafoe on stage and screen
Willem_Dafoe_on_stage_and_screen
American independent media company
produced and/or financed the films Lawless, The Master, Killing Them Softly, Zero Dark Thirty, Spring Breakers, The Grandmaster, Her, Foxcatcher, and American
Annapurna_Pictures
1950 film by Elia Kazan
as Nancy Reed Jack Palance as Blackie (credited as Walter Jack Palance) Zero Mostel as Raymond Fitch Dan Riss as Neff Tommy Cook as Vince Poldi Guy Thomajan
Panic_in_the_Streets_(film)
2021 American dystopian fiction miniseries
Archived from the original on August 3, 2020. Retrieved April 23, 2020. Siegel, Tatiana (February 10, 2015). "Best-Seller 'Station Eleven' Acquired by
Station_Eleven_(miniseries)
2026 American comedy film
Devantez Written by Chelsea Devantez Produced by Marc Platt Katie McNicol Adam Siegel Nadine DeBarros Michael Philip Richard Alan Reid Starring Ashley Park Leighton
Basic_(2026_film)
First Lady of the United States (2017–2021; since 2025)
Archived from the original on January 8, 2025. Retrieved May 10, 2025. Siegel, Tatiana (January 5, 2025). "Melania Trump Documentary in the Works at Amazon
Melania_Trump
Fictional identity in the DC Comics pantheon
published without the input or approval of Siegel, who was serving in the US Army in World War II. In 1944, while Siegel was stationed in Hawaii, Detective Comics
Superboy
List of characters appearing in the Marvel Cinematic Universe
Archived from the original on October 25, 2016. Retrieved October 24, 2016. Siegel, Lucas (October 14, 2016). "First Look at Major Runaways Easter Eggs in
Characters of the Marvel Cinematic Universe: M–Z
Characters_of_the_Marvel_Cinematic_Universe:_M–Z
American postage stamp with design error
most prized in philately. A single Inverted Jenny was sold at a Robert A. Siegel auction in November 2007 for $977,500. In December 2007 a mint never hinged
Inverted_Jenny
Möller Crime comedy Schloss und Siegel Heidi Ulmke Christiane Carstens [de], Karl Heinz Maslo Comedy a.k.a. Schloß & Siegel Seine letzte Chance Alexander
List of German films of the 1980s
List_of_German_films_of_the_1980s
Family of solutions to related differential equations
Jn + m(x) have no common zeros other than the one at x = 0. The hypothesis was proved by Carl Ludwig Siegel in 1929. Siegel proved in 1929 that when ν
Bessel_function
Comics character
Archived from the original on August 1, 2023. Retrieved October 24, 2024. Siegel, Jerry (w), Swan, Curt (p), Klein, George (i). "The World of Doomed Olsens
Proty
New York United States equities trader Cantor Fitzgerald Clarin Shellie Siegel-Schwartz 51 WTC Upper West Side New York United States senior vice president
List of victims of the September 11 attacks (O–Z)
List_of_victims_of_the_September_11_attacks_(O–Z)
Mexican actress, singer-songwriter and producer (born 1990)
and Neve Campbell's $7 Million Salary". Variety. Retrieved 5 March 2026. Siegel, Tatiana (21 November 2023). "Spyglass Says Melissa Barrera Was Fired From
Melissa_Barrera
Scientific projections regarding the far future
Archived from the original on 24 October 2011. Retrieved 22 July 2011. Siegel, Ethan. "Ask Ethan: Could The Universe Be Torn Apart In A Big Rip?". Forbes
Timeline_of_the_far_future
Various incarnations of comic book superhero
The character of Superman was created by Jerry Siegel and Joe Shuster, and has been continually published in a variety of DC Comics book titles since its
Alternative versions of Superman
Alternative_versions_of_Superman
Unproduced Marvel Studios film
reports that Ali was prepared to exit over issues with the script. Tatiana Siegel at Variety reported that a prior version of the script focused on a female
Blade_(unproduced_film)
Evaluates the Riemann zeta function at many points
steps (at the cost of storing O(N1+ε) intermediate values). The Riemann–Siegel formula used for calculating the Riemann zeta function with imaginary part
Odlyzko–Schönhage_algorithm
Swedish actress (1920–1995)
attorney and World Chess Federation president Folke Rogard, director Don Siegel, and Hungarian writer, producer, and director George Tabori. She had three
Viveca_Lindfors
Film by Travis Zariwny
Archived from the original on February 15, 2016. Retrieved February 12, 2016. Siegel, Tatianna; Kit, Borys (June 26, 2012). "Sean Astin Checks in for Cabin Fever
Cabin_Fever_(2016_film)
American actress (born 1969)
Archived from the original on December 13, 2010. Retrieved June 23, 2010. Siegel, Tatiana (May 11, 2010). "Universal warms up 'WanderLust'". Variety. Archived
Jennifer_Aniston
President of the United States from 2021 to 2025
Fed's rate hikes". CBS News. October 26, 2023. Retrieved November 21, 2023. Siegel, Rachel; Gregg, Aaron (December 26, 2023). "Robust holiday shopping sends
Joe_Biden
Metric in epidemiology
reproductive rate), denoted R 0 {\displaystyle R_{0}} (pronounced R nought or R zero), of an infection is the expected number of cases directly generated by one
Basic_reproduction_number
Fictional character who appears in DC Comics
He first appeared in Adventure Comics #287 (June 1961), created by Jerry Siegel and George Papp. Various versions of the Dev-Em character have appeared
Dev-Em
Distance from zero to a number
3. The absolute value of a number may be thought of as its distance from zero. Generalisations of the absolute value for real numbers occur in a wide variety
Absolute_value
workers return home". www.bbc.com. 2023-11-30. Retrieved 2026-09-09. "Aviva Siegel released after 51 days as husband Keith, a US citizen, still captive". The
List_of_Gaza_war_hostages
2014 film by Wes Anderson
wealthy dowager (Tilda Swinton), he and his recently befriended protégé Zero (Tony Revolori) embark on a quest for fortune and a priceless Renaissance
The_Grand_Budapest_Hotel
Defunct US government agency
Retrieved February 28, 2025. Natanson, Hannah; Menn, Joseph; Rein, Lisa; Siegel, Rachel (May 7, 2025). "DOGE aims to pool federal data, putting personal
Department of Government Efficiency
Department_of_Government_Efficiency
Complete absence of anything; the opposite of everything
Particles can come from nothing". Big Think. Retrieved 18 February 2023. Siegel, Ethan (22 December 2022). "The 4 fundamental meanings of "nothing" in science
Nothing
American football player (born 1983)
Archived from the original on November 14, 2018. Retrieved November 13, 2018. Siegel, Alan (February 28, 2018). "The top 25 NFL quarterbacks of all-time". USA
Aaron_Rodgers
2014 novel by Emily St. John Mandel
Finalists!". penfaulkner.org. 10 March 2015. Retrieved 21 November 2021. Siegel, Tatiana (10 February 2015). "Best-Seller 'Station Eleven' Acquired by 'Jane
Station_Eleven
On algebraic independence of logarithms
number of linear equations that have to be satisfied. Moreover, using Siegel's lemma, the sizes of the coefficients p can be chosen to be not too large
Baker's_theorem
2013 American TV series or program
police chief William Parker), and ruthless criminal elements led by Bugsy Siegel, who was in charge of the Los Angeles mafia operations. The series is a
Mob_City
Film by Mel Brooks
comedy film written and directed by Mel Brooks, and starring Gene Wilder, Zero Mostel, Dick Shawn, and Kenneth Mars. The film is about a mild-mannered accountant
The_Producers_(1967_film)
Victims of terror attacks in the US
Archived from the original on January 27, 2019. Retrieved June 9, 2023. Siegel, Aaron (September 11, 2007). "Industry honors fallen on 9/11 anniversary"
Casualties of the September 11 attacks
Casualties_of_the_September_11_attacks
convention nod in bid for governor". Minnesota Reformer. Retrieved June 3, 2026. Siegel, Benjamin; Oppenheim, Oren (January 29, 2026). "Sen. Amy Klobuchar announces
2026 Minnesota gubernatorial election
2026_Minnesota_gubernatorial_election
American actor (born 1944)
Archived from the original on December 7, 2010. Retrieved December 17, 2010. Siegel, Meir Halevi (June 26, 2014). "Michael Douglas Visits Kotel". The Jewish
Michael_Douglas
travel, tourism, insurance
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SIEGEL ZERO
travel, tourism, insurance