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Four basic unsolved problems about prime numbers
International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers. These problems were characterised in his speech as "unattackable
Landau's_problems
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
There is a prime between any two square numbers
conjecture is one of Landau's problems (1912) on prime numbers and is one of many open problems on the spacing of prime numbers. Unsolved problem in mathematics
Legendre's_conjecture
dynamics, Landau–Levich flow or the Landau–Levich problem describes the flow created by a moving plate which is pulled out of a liquid surface. Landau–Levich
Landau–Levich_problem
23 mathematical problems stated in 1900
Hilbert's problems are 23 problems in mathematics published by German mathematician David Hilbert in 1900. He intended to rival the master of French mathematics
Hilbert's_problems
German mathematician (1877–1938)
They remain unsolved to this day and are now known as Landau's problems. During the 1920s, Landau was instrumental in establishing the Mathematics Institute
Edmund_Landau
Function in analytic number theory
and finite there. The problem of proving this without defining the zeta function first was signaled and left open by E. Landau in his 1909 treatise on
Dirichlet_eta_function
Soviet theoretical physicist (1908–1968)
of the Theoretical Division at the Institute for Physical Problems. On 27 April 1938, Landau was arrested for the possession of a leaflet which compared
Lev_Landau
Quantum algorithm in computer science
link is a #P-hard problem. The problem that the Aharonov–Jones–Landau problem solves is a BQP-complete problem. The Aharanov-Jones-Landau algorithm takes
Aharonov–Jones–Landau algorithm
Aharonov–Jones–Landau_algorithm
Visualization of the prime numbers
the Ulam spiral is connected with major unsolved problems in number theory such as Landau's problems. In particular, no quadratic polynomial has ever
Ulam_spiral
Guderley–Landau–Stanyukovich problem describes the time evolution of converging shock waves. The problem was discussed by G. Guderley in 1942 and independently
Guderley–Landau–Stanyukovich problem
Guderley–Landau–Stanyukovich_problem
On the distribution of prime numbers
Hilbert's eighth problem is one of David Hilbert's list of open mathematical problems posed in 1900. It concerns various branches of number theory, and
Hilbert's_eighth_problem
Even integers as sums of two primes
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural
Goldbach's_conjecture
American mathematician
wrote also The Laplace transform (in which he gave a first solution to Landau's problem on the Dirichlet eta function), An introduction to transform theory
David_Widder
Formula for the probability that a system will change between two energy states
minimally adjacent to one another. Applications of the Landau–Zener solution to the problems of quantum state preparation and manipulation with discrete
Landau–Zener_formula
and mass gap problems of the Millennium Prize Problems, both remain unsolved. Navier–Stokes smoothness is also the 15th Smale's problem from 1998. United
List of unsolved problems in physics
List_of_unsolved_problems_in_physics
Medical condition
Landau–Kleffner syndrome (LKS), also called infantile acquired aphasia, acquired epileptic aphasia, or aphasia with convulsive disorder, is a rare neurological
Landau–Kleffner_syndrome
Following Landau's work, V. I. Yatseyev obtained the general solution of the equation in 1950. In the presence of solid walls, the problem is described
Landau–Squire_jet
Romanian-American mathematician (1903–1990)
wrote on Approximation theory, the Kakeya problem, Pólya frequency functions, and a problem of Edmund Landau. His coauthors included John von Neumann,
Isaac_Jacob_Schoenberg
Mathematical family of interpolation inequalities
In mathematics, the Landau–Kolmogorov inequality, named after Edmund Landau and Andrey Kolmogorov, is the following family of interpolation inequalities
Landau–Kolmogorov_inequality
Effect in physics
expanded to second order and problems about suitable initial conditions and secular terms arise. In Ref. these problems are studied. Because calculations
Landau_damping
Mathematical theorem
greater than Bloch's constant L ≥ B. This theorem is named after Edmund Landau. Bloch's theorem was inspired by the following theorem of Georges Valiron:
Bloch's theorem (complex analysis)
Bloch's_theorem_(complex_analysis)
Equation in fluid dynamics
The Ginzburg–Landau equation, named after Vitaly Ginzburg and Lev Landau, describes the nonlinear evolution of small disturbances near a finite wavelength
Ginzburg–Landau_equation
Millennium Prize Problem
problems, including the Navier–Stokes problem. Physics portal Mathematics portal List of unsolved problems in mathematics List of unsolved problems in
Navier–Stokes existence and smoothness
Navier–Stokes_existence_and_smoothness
Number, approximately 0.916
and Littlewood's Conjecture F. However, it is an unsolved problem (one of Landau's problems) whether there are even infinitely many primes of this form
Catalan's_constant
Quadrennial mathematics conference
congress in Cambridge, England, Edmund Landau listed four basic problems about prime numbers, now called Landau's problems. The first two Fields Medals were
International Congress of Mathematicians
International_Congress_of_Mathematicians
Motion problem in classical mechanics
one-body problems: a trivial one and one that involves solving for the motion of one particle in an external potential. Since many one-body problems can be
Two-body_problem
American mathematician
Mathematical Society "for contributions to analytic number theory". Landau's problems Yitang Zhang James Maynard (mathematician) "2014 Cole Prize in Number
Daniel_Goldston
Guderley–Landau–Stanyukovich problem Landau damping Landau derivative Landau diamagnetism Landau distribution Landau's Fermi-liquid theory Landau gauge Landau kinetic equation
List of things named after Lev Landau
List_of_things_named_after_Lev_Landau
Coupling constant divergence at high energies
In physics, the Landau pole (or the Moscow zero, or the Landau ghost) is the momentum (or energy) scale at which the coupling constant (interaction strength)
Landau_pole
Analytic number theory conjecture
infinitely often is a problem first raised by Euler, and it is also the fifth Hardy–Littlewood conjecture and the fourth of Landau's problems. Despite the extensive
Bunyakovsky_conjecture
Russian research institution
Physical Problems). The Landau Institute was formed in 1964 to keep the Landau school alive after the tragic car accident of Lev D. Landau. Since its
Landau Institute for Theoretical Physics
Landau_Institute_for_Theoretical_Physics
Equation relating to oscillating systems
Stuart–Landau equation describes the behavior of a nonlinear oscillating system near the Hopf bifurcation, named after John Trevor Stuart and Lev Landau. In
Stuart–Landau_equation
Turkish mathematician
completed the proof in 2005 and developed the so called GPY sieve. Landau's problems "Cem Yalçın Yıldırım Matematik Bölümü". math.bogazici.edu.tr. Retrieved
Cem_Yıldırım
Prime differing from another prime by two
this remains unsolved. Unsolved problem in mathematics Are there infinitely many twin primes? More unsolved problems in mathematics Usually the pair (2
Twin_prime
Hungarian mathematician
products of exactly 2 primes is infinitely often at most 6. Prime gap Landau's problems Fazekas Mihály Gimnázium Maier's theorem Peter Hermann, Antal Pasztor:
János_Pintz
Rahiim, Executive Chef, New York, NY (eliminated after the dessert) Rich Landau, Chef and Owner, Vedge, Philadelphia, PA (winner) Notes: This was a vegetarian
List of Chopped episodes (seasons 1–20)
List_of_Chopped_episodes_(seasons_1–20)
(1946). Problems of a Dynamical Theory in Statistical Physics. USSR: State Technical Press. Allis, W. P. (1949). An error in a paper by Landau on Coulomb
Landau_kinetic_equation
for Physical Problems in Moscow in 1937 in an attempt to avoid an arrest during the UPTI Affair. It is sometimes referred to as the Landau school — more
Kharkiv Theoretical Physics School
Kharkiv_Theoretical_Physics_School
Infinite prime numbers of the form a^2+b^4
15377, … (sequence A002496 in the OEIS). It is conjectured (one of Landau's problems) that this set is infinite. However, this is not implied by the Friedlander–Iwaniec
Friedlander–Iwaniec_theorem
Describes approximate behavior of a function
German mathematicians Paul Bachmann and Edmund Landau and expanded by others, collectively called Bachmann–Landau notation. The letter O stands for Ordnung
Big_O_notation
1994 film by Tim Burton
films as well as his relationship with actor Bela Lugosi, played by Martin Landau. Sarah Jessica Parker, Patricia Arquette, Jeffrey Jones, Lisa Marie, and
Ed_Wood_(film)
Description of the dynamics of magnetization in a solid
In physics, the Landau–Lifshitz–Gilbert equation (usually abbreviated as LLG equation), named for Lev Landau, Evgeny Lifshitz, and Thomas L. Gilbert, is
Landau–Lifshitz–Gilbert equation
Landau–Lifshitz–Gilbert_equation
2008 young-adult novel by E. Lockhart
The Disreputable History of Frankie Landau-Banks is a young-adult novel written by American author E. Lockhart. It was published on the 25 March 2008 by
The Disreputable History of Frankie Landau-Banks
The_Disreputable_History_of_Frankie_Landau-Banks
Israeli computer scientist
fundamental text-book solution for the k-differences problem, solving one of the major open problems in the area at the time. His solution was the first
Gad_Landau
Thermodynamic potential used in statistical mechanics
The grand potential or Landau potential or Landau free energy is a quantity used in statistical mechanics, especially for irreversible processes in open
Grand_potential
How many integer lattice points there are in a circle
There is an extensive literature on these problems. If one ignores the geometry and merely considers the problem an algebraic one of Diophantine inequalities
Gauss_circle_problem
Millennium Prize Problem
existence and mass gap problem is an unsolved problem in mathematical physics and mathematics, and one of the seven Millennium Prize Problems defined by the Clay
Yang–Mills existence and mass gap
Yang–Mills_existence_and_mass_gap
Problem book in mathematical analysis
Problems and Theorems in Analysis (German: Aufgaben und Lehrsätze aus der Analysis) is a two-volume problem book in analysis by George Pólya and Gábor
Problems and Theorems in Analysis
Problems_and_Theorems_in_Analysis
worse problems" or "not as bad as") – dismissing an argument or complaint due to what are perceived to be more important problems. First World problems are
List_of_fallacies
American mathematician
theory, including the theory of bandlimited functions and on moment problems. Landau was born to a Jewish family in the Soviet Union and immigrated to the
Henry_Landau
American philosopher (born 1963)
Russ Shafer-Landau (born 1963) is an American philosopher and professor of philosophy at the University of Wisconsin, Madison. Shafer-Landau is a graduate
Russ_Shafer-Landau
Award winners for journalism
Local Reporting Ed Petykiewicz Saginaw News Documentary Jack Willis, Saul Landau New Time Films, Inc. Paul Jacobs and the Nuclear Gang National Television
List of George Polk Award winners
List_of_George_Polk_Award_winners
Country in Eastern Europe and North Asia
Medal. Grigori Perelman was offered the first ever Clay Millennium Prize Problems Award for his final proof of the Poincaré conjecture in 2002, as well as
Russia
American science fiction television series
received an official series order in March 2023, with Kurtzman and Noga Landau as showrunners. Production on the first season took place from August 2024
Star_Trek:_Starfleet_Academy
Physical Problems to emphasize that its focus would not be confined to a single area of knowledge. Instead, it would address "known scientific problems, the
Institute for Physical Problems
Institute_for_Physical_Problems
Logical fallacy in which the conclusion provides the premise
Press. (2000). Feinberg, Joel; Shafer-Landau, Russ (2008). Reason and responsibility: readings in some basic problems of philosophy. Cengage Learning. pp
Circular_reasoning
Potential counterexample to the generalized Riemann hypothesis
analytic number theory, a Landau–Siegel zero or simply Siegel zero, also known as an exceptional zero, named after Edmund Landau and Carl Ludwig Siegel,
Siegel_zero
British entrepreneur
Nick Landau is a British entertainment entrepreneur. He co-owns Titan Entertainment, with his partner Vivian Cheung, which comprises the Forbidden Planet
Nick_Landau
Soviet physicist (1911–1991)
theory department. From 1938 Migdal worked with Lev Landau at Moscow's Institute for Physical Problems, received there in 1943 his Russian Doctor of Sciences
Arkady_Migdal
Global system of connected computer networks
warfare using similar methods on a large scale. Malware poses serious problems to individuals and businesses on the Internet. According to Symantec's
Internet
Theoretical model for aggregation and stability of aqueous dispersions
In physical chemistry, the Derjaguin–Landau–Verwey–Overbeek (DLVO) theory explains the aggregation and kinetic stability of aqueous dispersions quantitatively
DLVO_theory
Material property relevant for characterizing fluid flow
and dynamics of liquids containing gas bubbles. In many fluid dynamics problems, however, its effect can be neglected. For instance, it is 0 in a monatomic
Volume_viscosity
List of quantum computing algorithms
Childs, Andrew M.; van Dam, Wim (2010). "Quantum algorithms for algebraic problems". Reviews of Modern Physics. 82 (1): 1–52. arXiv:0812.0380. doi:10.1103/RevModPhys
List_of_quantum_algorithms
Motor vehicle
down, at 63,313 units. The Landau became the second most important model after the standard hardtop, at 12,193 sold. Landaus added simulated wood grain
Ford Thunderbird (third generation)
Ford_Thunderbird_(third_generation)
Physical theory
explained in Kolmogorov's theory of turbulence. Landau, L. D. (1944). "К проблеме турбулентности" [On the problem of turbulence]. Doklady Akademii Nauk SSSR
Landau–Hopf theory of turbulence
Landau–Hopf_theory_of_turbulence
Russian theoretical physicist (1933–2022)
University in 1955. In 1958, he joined the staff of the Institute of Physical Problems of the Russian Academy of Sciences. In 1971, he became a professor at the
Lev_Pitaevskii
Compact astronomical body
Hubble Space Telescope. Unsolved problem in physics Is physical information lost in black holes? More unsolved problems in physics According to the no-hair
Black_hole
Stables attached to Buckingham Palace
Coach Several landau carriages including: the 1902 State Landau, seven other state landaus, five semi-state landaus, and five Ascot landaus Barouches and
Royal_Mews
Prime Minister of Israel (1996–1999; 2009–2021; 2022–present)
Caplan (2010). Negotiating Arab-Israeli Peace, Second Edition: Patterns, Problems, Possibilities. Indiana University Press. p. 130. ISBN 978-0-253-00457-4
Benjamin_Netanyahu
Russian-American physicist (1929–2016)
after which he entered Kapitza Institute for Physical Problems, and eventually joined the Landau Institute for Theoretical Physics. In 1966, he was awarded
Lev_Gor'kov
In number theory, a limitation of sieve theory
problem refers to a limitation in sieve theory that prevents sieves from giving good estimates in many kinds of prime-counting problems. The problem was
Parity_problem
Tabular arrangement of the chemical elements
only worked well for the main-group elements, and encountered serious problems with the others. German chemist Lothar Meyer noted the sequences of similar
Periodic_table
Intrinsic instability in flames
analysis of Darrieus and Landau may have a stabilizing effect. Yakov Zeldovich notes that Lev Landau generously suggested this problem for him to investigate
Darrieus–Landau_instability
Soviet physicist (1915–1985)
regarded as one of the most important open problems in the subject of classical gravitation. With Lev Landau, Lifshitz co-authored Course of Theoretical
Evgeny_Lifshitz
Panzergrenadier-Brigade on 5 July 1942. Dissolved in 1943. Plagued by mobility problems while preparing offensive operations in 1943. 12. Schützen-Brigade 12th
List of German brigades in World War II
List_of_German_brigades_in_World_War_II
American podcaster, writer, and television producer (born 1982)
Joe Del Campo John Hennigan John Rocker Jolanda Jones Jon Lovett Julia Landauer Katrina Radke Keith Famie Kelly Bruno Kelly Goldsmith Ken Hoang Lisa Whelchel
Jon_Lovett
Tablet computer developed by Apple (2012)
Archived from the original on February 19, 2017. Retrieved November 12, 2020. Landau, Ted (2009). Take control of your iPhone. TidBITS Publishing, Incorporated
IPad_(3rd_generation)
Dilemma for life partners in academia
(1): 56–61. doi:10.2307/3345994. JSTOR 3345994. Landau, Susan (2005). "Universities and the two-body problem" (PDF). In Case, Bettye Anne; Leggett, Anne M
Two-body_problem_(career)
1958 novel by Leon Uris
involved in the West imposing on the Middle East a solution to its own problems was completely overlooked. Reel Bad Arabs, Jack Shaheen, Olive Branch Press
Exodus_(Uris_novel)
Problem in discrete geometry
See Section 3 of for more problems and results of the kind. Erdős also considered the higher-dimensional variant of the problem: for d ≥ 3 {\displaystyle
Erdős distinct distances problem
Erdős_distinct_distances_problem
2023 hoax spread during the Gaza war
"went into macabre overdrive", such as a statement by ZAKA founder Yossi Landau that he had personally seen the bodies of children and babies who had been
Hamas_baby_beheading_hoax
Equations of motion for viscous fluids
unbounded solutions. This is one of seven Millennium Prize Problems, notable open mathematics problems for which the Clay Mathematics Institute offered $1 million
Navier–Stokes_equations
Mathematics award
Sylvia; Gruber, David (21 August 2006). "Manifold Destiny: A legendary problem and the battle over who solved it". The New Yorker. Archived from the original
Fields_Medal
Phenomenon of fluid mechanics
Kelvin–Helmholtz instability in compressible flows was first studied by Lev Landau in 1944, and was later refined by Sergei Ivanovich Syrovatskii in 1954.
Kelvin–Helmholtz_instability
State of matter at low temperatures
the sound velocity, but this model is useful to illustrate the concept.) Landau also showed that the sound wave and other excitations could equilibrate
Superfluid_helium-4
2026 studio album by Ellie Goulding
album shaped by the aftermath of failed relationships and personal change. Problems playing this file? See media help. According to her, I Know Too Much's
I_Know_Too_Much
American actor (1947–2020)
David L. Lander (born David Leonard Landau; June 22, 1947 – December 4, 2020) was an American actor, comedian, musician, and baseball scout. He was best
David_Lander
Hypothetical concept in astrophysics
Infinitely many tasks in finite time Zeno's paradoxes – Set of philosophical problems Dyson, Freeman J. (1979-07-01). "Time without end: Physics and biology
Dyson's_eternal_intelligence
Developmental or acquired neurological disorders
processing problems. However, this theory is not universally accepted; others theorize that the main difficulties associated with SLI stem from problems with
Auditory_processing_disorder
Genocide of European Jews by Nazi Germany
). Genocide: The Power and Problems of a Concept. McGill-Queen's University Press. p. 240. ISBN 978-0-2280-0951-1. Landau, Ronnie S. (2016). The Nazi
The_Holocaust
Path-finding using high-weight graph edges
In graph algorithms, the widest path problem is the problem of finding a path between two designated vertices in a weighted graph, maximizing the weight
Widest_path_problem
American singer and actor (1935–1977)
"lament for a lost love into a satisfied declaration of independence." Problems playing this file? See media help. Phillips, meanwhile, was always on the
Elvis_Presley
International organization of left-wing parties
Webb Ferrer Dewey Mella Gorter Cleyre Wells Du Bois Gorky Goldman Struve Landauer Berkman Luxemburg Shūsui Russell Pannekoek Rocker Rühle Spengler Keller
Sovintern
American musician (born 1983)
"Everywhere" (2001) A sample of Branch's debut single, "Everywhere". Problems playing this file? See media help. In 2001, Branch signed a recording deal
Michelle_Branch
Equation known for chaotic behavior
approaching a Kuramoto–Sivashinsky type and the minus sign approaching a Ginzburg–Landau type. Applications of the Kuramoto–Sivashinsky equation extend beyond its
Kuramoto–Sivashinsky_equation
Abrahamic monotheistic religion
is the Quran's 112th chapter as recited by Imam Mishary Rashid Alafasy Problems playing this file? See media help. Muslims recite and memorize the whole
Islam
Monte Carlo method for density of states
The Wang and Landau algorithm, proposed by Fugao Wang and David P. Landau, is a Monte Carlo method designed to estimate the density of states of a system
Wang_and_Landau_algorithm
Ancient One, expecting that the Ancient One could help him out with his problems. When the Ancient One refused to do so, Stephen was left as a lonely and
List of Spider-Man: The Animated Series characters
List_of_Spider-Man:_The_Animated_Series_characters
Trial of Menahem Mendel Beilis for a ritual murder
early 20th centuries, when Jews were scapegoated for the challenges and problems the Russian Empire was facing at the time. The trial remains notable for
Beilis_affair
travel, tourism, insurance
LANDAUS PROBLEMS
LANDAUS PROBLEMS
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LANDAUS PROBLEMS
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LANDAUS PROBLEMS
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