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Software that produces mathematical conjectures about continued fractions
The Ramanujan machine is a software package, developed by a team of scientists at the Technion – Israel Institute of Technology around 2019 to 2021, to
Ramanujan_machine
Indian mathematician (1887–1920)
Srinivasa Ramanujan Iyengar (22 December 1887 – 26 April 1920) was an Indian mathematician who worked during the early 20th century. He made substantial
Srinivasa_Ramanujan
identity Ramanujan machine Ramanujan–Nagell equation Ramanujan–Peterssen conjecture Ramanujan–Soldner constant Ramanujan summation Ramanujan theta function
List of things named after Srinivasa Ramanujan
List_of_things_named_after_Srinivasa_Ramanujan
Topics referred to by the same term
Look up Ramanujan in Wiktionary, the free dictionary. Srinivasa Ramanujan (1887–1920) was an Indian mathematician. Ramanujan may refer to: Ramanujan (name)
Ramanujan_(disambiguation)
2014 Indian film by Gnana Rajasekara
Ramanujan is a 2014 biographical film based on the life of Indian mathematician Srinivasa Ramanujan. The film, written and directed by Gnana Rajasekaran
Ramanujan_(film)
Technion – Israel Institute of Technology published results from the Ramanujan machine, an algorithmic system designed to discover mathematical conjectures
List of mathematical discoveries made with artificial intelligence
List_of_mathematical_discoveries_made_with_artificial_intelligence
Award in maths
The DST-ICTP-IMU Ramanujan Prize for Young Mathematicians from Developing Countries is a mathematics prize awarded annually by the International Centre
ICTP_Ramanujan_Prize
Indian linguist
Attipate Krishnaswami Ramanujan (16 March 1929 – 13 July 1993) was an Indian poet and scholar of Indian literature and linguistics. Ramanujan was also a professor
A._K._Ramanujan
Proposition in mathematics that is unproven
Bold hypothesis Futures studies Hypotheticals List of conjectures Ramanujan machine "Definition of CONJECTURE". www.merriam-webster.com. Retrieved 2019-11-12
Conjecture
AlphaEvolve AlphaGeometry AlphaProof AlphaTensor DeepSeek-Prover FunSearch Ramanujan machine Artificial intelligence Automated theorem proving Computer-assisted
Mathematics and artificial intelligence
Mathematics_and_artificial_intelligence
Collection of Srinivasa Ramanujan's discoveries in mathematics
Ramanujan's lost notebook is the manuscript in which the Indian mathematician Srinivasa Ramanujan recorded the mathematical discoveries of the last year
Ramanujan's_lost_notebook
Comprehensive list of volunteer computing projects
"RALPH@Home - BOINCstats". boincstats.com. Retrieved 2018-06-17. "The Ramanujan Machine - Detailed stats". boincstats.com. Retrieved 2023-03-04. "Renderfarm
List of volunteer computing projects
List_of_volunteer_computing_projects
Subfield of automated reasoning and mathematical logic
Mathematica ResearchCyc Curry–Howard correspondence Symbolic computation Ramanujan machine Computer-assisted proof Formal verification Logic programming Proof
Automated_theorem_proving
British mathematician (1877–1947)
Ramanujan. He remarked that on a scale of mathematical ability, his ability would be 25, Littlewood would be 30, Hilbert would be 80, and Ramanujan would
G._H._Hardy
Software used in mathematical applications
matrix multiplication discovery FunSearch – mathematical discovery Ramanujan machine – conjecture discovery Computational mathematics Comparison of formula
Mathematical_software
Class of integer
the Hardy–Ramanujan number. The name is derived from a conversation ca. 1919 involving mathematicians G. H. Hardy and Srinivasa Ramanujan. As told by
Taxicab_number
Indian museum and activity center
13°06′49″N 80°17′26″E / 13.1135°N 80.2906°E / 13.1135; 80.2906 The Ramanujan Math Park is an Indian museum and activity center dedicated to mathematics
Ramanujan_Math_Park
Divergent series
value. In particular, the methods of zeta function regularization and Ramanujan summation assign the series a value of −+1/12, which is expressed by
1_+_2_+_3_+_4_+_⋯
College in Kalkaji, South Delhi, India
Ramanujan College is a constituent college of University of Delhi's. It is named after the Indian mathematician Srinivasa Ramanujan. It is located in
Ramanujan_College
American mathematician
Wayback Machine, retrieved 2024-01-10. Asian American Scholar Forum website, retrieved 2024-08-23. Ken Ono's IMDB.com page Spirit of Ramanujan website
Ken_Ono
Ancient Sanskrit epic written by Valmiki
University Press. ISBN 978-93-82460-18-3. Ramanujan, A. K. (2004). The Collected Essays of A. K. Ramanujan. New Delhi: Oxford University Press.[ISBN missing]
Ramayana
Hindu temple in Tamil Nadu, India
committed them to writing." — Ramanujan Furthermore, Ramanujan's mother sought permission from the goddess for Ramanujan to go to England in a dream. The
Narasimhaswamy Temple, Namakkal
Narasimhaswamy_Temple,_Namakkal
British mathematician (born 1987)
Erdős prize ($10,000) ever offered. In 2014, he was awarded the SASTRA Ramanujan Prize. In 2015, he was awarded a Whitehead Prize and in 2016 an EMS Prize
James_Maynard_(mathematician)
Indian actress
September 2017 at the Wayback Machine. Times of India. Retrieved 18 May 2014. "Gemini's grandson to play lead in Ramanujan biopic". The Hindu. Chennai,
Bhama_Kurup
Sparse graph with strong connectivity
d, λ)-graphs. Ramanujan graphs are d-regular graphs for which this bound is tight, satisfying λ=max|λi|<d|λi|≤2d−1. Hence Ramanujan graphs have an asymptotically
Expander_graph
Function whose domain is the positive integers
irregular (see table), but some of them have series expansions in terms of Ramanujan's sum. An arithmetic function a is completely additive if a(mn) = a(m)
Arithmetic_function
South African-born mathematician
(with A. Lubotzky and R. Phillips) applied results in number theory to Ramanujan graphs, with connections to combinatorics and computer science. Sarnak
Peter_Sarnak
American mathematician (born 1938)
leading expert in the theory of integer partitions. In 1976 he discovered Ramanujan's Lost Notebook. He is interested in mathematical pedagogy. His book The
George Andrews (mathematician)
George_Andrews_(mathematician)
Form of rhythmic writing in Kannada
dhevaru (trans. AK Ramanujan) Vachana Sahitya Web Site Published by Government of Karnataka Archived 21 January 2019 at the Wayback Machine Vachana Sanchaya
Vachana_sahitya
Australian mathematician (born 1981)
SASTRA Ramanujan Prize, given for "outstanding contributions to areas of mathematics influenced by the great Indian mathematician, Srinivasa Ramanujan" and
Akshay_Venkatesh
Additive process used to make a 3D object
original on 15 July 2019. Retrieved 15 July 2019. Gao, Wei; Zhang, Yunbo; Ramanujan, Devarajan; Ramani, Karthik; Chen, Yong; Williams, Christopher B.; Wang
3D_printing
Natural number
and x natural. In particular, the equation 2n − 7 = x2 is known as the Ramanujan–Nagell equation. 7 is one of seven numbers in the positive definite quadratic
7
Country in South Asia
provided the first example of a power series. In the modern era, Srinivasa Ramanujan made fundamental contributions to number theory. India contains a wide
India
Italo-Swiss mathematician
found new Ramanujan-type identities for the sum-of-divisor functions. His seven new identities extended the ten other identities found by Ramanujan in 1913
Giuseppe_Melfi
Varying methods used to calculate pi
be obtained from Ramanujan's approximation (22). accurate to nine digits: 34+24+12+(23)24=2143224=3.14159 2652+ This is from Ramanujan, who allegedly claimed
Approximations_of_pi
American musician
has media related to Robert Schneider (musician). Step Through The Portal A review with Ken Ono about The Man Who Knew Infinity and Srinivasa Ramanujan
Robert_Schneider
Indian physicist (born 1956)
Honours Leading Indian Scientists" Archived 12 March 2007 at the Wayback Machine The Hindu, Sunday, January 7, 2001: "Stringing together the ultimate law"
Ashoke_Sen
American crime drama television series (2005–2010)
Charlie, with the help of Larry Fleinhardt (Peter MacNicol) and Amita Ramanujan (Navi Rawat). The insights provided by Charlie's mathematics were always
Numbers_(TV_series)
German mathematician (born 1977)
Professor bags SASTRA Ramanujan Award for 2009 Archived 4 October 2009 at the Wayback Machine "Bringmann to Receive 2009 SASTRA Ramanujan Prize". American
Kathrin_Bringmann
Algorithmic runtime requirements for common math procedures
(1988). "Approximations and complex multiplication according to Ramanujan". Ramanujan revisited: Proceedings of the Centenary Conference. Academic Press
Computational complexity of mathematical operations
Computational_complexity_of_mathematical_operations
Approximation for factorials
alternative approximation for the gamma function stated by Srinivasa Ramanujan in Ramanujan's lost notebook is Γ(1+x)≈π(xe)x(8x3+4x2+x+130)16 for x ≥ 0. The
Stirling's_approximation
Indian mathematician
has won several awards and scholarships during his career. He won the Ramanujan Scholarship to pursue his studies at Cambridge, given to one Indian student
Anupam_Saikia
American mathematician (born 1979)
2021 for their solution to long-standing conjectures in the study of Ramanujan graphs. Marcus grew up in Marietta, Georgia and was a boarding student
Adam_Marcus_(mathematician)
Chinese mathematician (born 1981)
global Gan–Gross–Prasad conjecture. He was a recipient of the SASTRA Ramanujan Prize in 2010, for "far-reaching contributions by himself and in collaboration
Wei_Zhang_(mathematician)
Probability of shared birthdays
Q(M)=1+M−1M+(M−1)(M−2)M2+⋯+(M−1)(M−2)⋯1MM−1 has been studied by Srinivasa Ramanujan and has asymptotic expansion: Q(M)∼πM2−13+112π2M−4135M+⋯. With M = 365
Birthday_problem
2 Fermat pseudoprime. 496, the third perfect number. 1729, the Hardy–Ramanujan number, also known as the second taxicab number; that is, the smallest
List_of_numbers
Electronic Transactions on Numerical Analysis Forum of Mathematics Hardy-Ramanujan Journal Journal de Théorie des Nombres de Bordeaux Journal of Formalized
List_of_open-access_journals
Polynomial equation whose integer solutions are sought
exponents, it is an exponential Diophantine equation. Examples include: the Ramanujan–Nagell equation, 2n − 7 = x2 the equation of the Fermat–Catalan conjecture
Diophantine_equation
MathWorld. Weisstein, Eric W. "Landau-Ramanujan Constant". MathWorld. Weisstein, Eric W. "Nielsen-Ramanujan Constants". MathWorld. Weisstein, Eric W
List of mathematical constants
List_of_mathematical_constants
Indian mathematician-astronomer (476–550)
Wayback Machine, Resonance, October 2002. Also see earlier overview: Mathematics in Ancient India Archived 2 November 2014 at the Wayback Machine. Boyer
Aryabhata
Natural number
might be a clue for understanding monstrous moonshine. 163 appears in the Ramanujan constant, since −163 is a quadratic nonresidue to modulo all the primes
163_(number)
Mathematical Society [9] Archived 2011-01-12 at the Wayback Machine Rajasthan Ganita Parishd [10] Ramanujan Mathematical Society Tripura Mathematical Society Vijnana
Indian_Mathematical_Society
Indian composer and playback singer (born 1943)
genius Srinivasa Ramanujan, who insisted he received math formula in dreams from a goddess, Ilaiyaraaja said that unlike Ramanujan who felt a supernatural
Ilaiyaraaja
German composer
removed], Munich Biennale. Ramanujan (1998), Munich Biennale. List of past winners Archived 2011-07-06 at the Wayback Machine of the Composers' Prize of
Sandeep_Bhagwati
Brazilian mathematician
MARCELO VIANA" Archived 2016-08-11 at the Wayback Machine (in French) "News: Viana received the first Ramanujan Prize". www.abelprize.no. Archived from the
Marcelo_Viana
Extension of the factorial function
evaluation by contour integration methods and some related results". Ramanujan J. 35 (1): 21–110. doi:10.1007/s11139-013-9528-5. S2CID 120943474. Blagouchine
Gamma_function
Ukrainian mathematician (born 1984)
the Salem Prize and, in 2017, the Clay Research Award and the SASTRA Ramanujan Prize for her work on sphere packing and modular forms. In December 2017
Maryna_Viazovska
Indian actress, theatre personality
Infinity (2016), in which she played the mother of the mathematical wizard Ramanujan. She has also appeared in Hindi movies including Paa (2009), "Sapnay"
Arundathi_Nag
for Solo Cello, Gestural Variations Sandeep Bhagwati 1963 Indian opera Ramanujan Michel Bosc [fr] 1963 French Philip Cashian 1963 British Graham Fitkin
List of 20th-century classical composers
List_of_20th-century_classical_composers
Kerala Jayaram at MSI Archived 12 March 2012 at the Wayback Machine Personal profile of Actor Jayaram Archived 31 October 2018 at the Wayback Machine
Jayaram_filmography
English actress and model (born 1992)
2013 (South) Tamil Nominations Archived 1 February 2015 at the Wayback Machine, The Times of India "Tollywood beckons Amy Jackson". The Times of India
Amy_Jackson
British mathematician (born 1977)
Clay Research Award 2005: Salem Prize 2005: Whitehead Prize 2007: SASTRA Ramanujan Prize 2008: European Mathematical Society prize recipient 2014: Sylvester
Ben_Green_(mathematician)
Constants of the mathematical zeta function
Wayback Machine PDF Archived 2011-09-26 at the Wayback Machine" (2006). Vepstas, Linas (2006). "On Plouffe's Ramanujan identities" (PDF). The Ramanujan Journal
Particular values of the Riemann zeta function
Particular_values_of_the_Riemann_zeta_function
Infinity (2015) – The true story of Indian mathematical genius, Srinivasa Ramanujan (Dev Patel), who develops numerous properties of infinite series as a
List of films about mathematicians
List_of_films_about_mathematicians
Research University in Tamil Nadu, India
alternative site rather than evicting it from the disputed land. SASTRA Ramanujan Prize SASTRA-CNR Rao Award "SASTRA Website". Archived from the original
Shanmugha Arts, Science, Technology & Research Academy
Shanmugha_Arts,_Science,_Technology_&_Research_Academy
Greek mathematician and physicist (c. 287 – 212 BC)
credited with designing innovative machines, such as his screw pump, compound pulleys, and defensive war machines to protect his native Syracuse from
Archimedes
Indian scientist and statistician (1893 –1972)
punting on the river. He interacted with the mathematical genius Srinivasa Ramanujan during the latter's time at Cambridge. After his Tripos in physics, Mahalanobis
Prasanta_Chandra_Mahalanobis
Dravidian ethnic group
September 2013.{{cite web}}: CS1 maint: deprecated archival service (link) Ramanujan, A. K. (1973), Speaking of Śiva Harmondsworth: Penguin, p. 11, ISBN 0-14-044270-7
Kannadigas
Major deity in Hinduism
the local cultural tradition, according to scholars such as Richman and Ramanujan. The stories vary in details, particularly where the moral question is
Rama
American computer scientist (born 1956)
Hopper Award for his contributions to computer science, and the 1988 Ramanujan Award for his work in applied mathematics. Hillis is a member of the National
Danny_Hillis
Revisited". The Legacy of Srinivasa Ramanujan, RMS-Lecture Notes Series. 20: 261–279. Bradley, David M. (2005-05-07), Ramanujan's formula for the logarithmic
History_of_mathematics
Nearest integers from a number
" Ramanujan, Question 723, Papers p. 332 Somu, Sai Teja; Kukla, Andrzej (2022). "On some generalizations to floor function identities of Ramanujan" (PDF)
Floor_and_ceiling_functions
Most common system for writing numbers
On the Genealogy of Modern Numerals; Archived 2016-03-07 at the Wayback Machine. At the Internet Archive: Part I and Part II. Menninger, Karl W. (1969)
Hindu–Arabic_numeral_system
Indian multinational IT services company
Ramanujan IT City, Chennai
LTIMindtree
Taiwanese-American mathematician
theory to construct efficient communication networks called Ramanujan graphs and Ramanujan complexes. Li's father was a chemist who moved from mainland
Winnie_Li
Goldbach conjecture verification Archived 24 May 2011 at the Wayback Machine. Retrieved 16 July 2013 (sequence A080127 in the OEIS) Jens Franke (29
List_of_prime_numbers
Australian and American mathematician (born 1975)
combinatorics, harmonic analysis and additive number theory" 2006 – SASTRA Ramanujan Prize 2007 – Fellow of the Royal Society 2008 – Alan T. Waterman Award
Terence_Tao
structure was, in fact, similar to it. Indian mathematician Srinivasa Ramanujan, known for his substantial contributions to number theory, analysis and
List_of_works_based_on_dreams
American mathematician
Davidoff is a coauthor of: Elementary Number Theory, Group Theory and Ramanujan Graphs (with Peter Sarnak and Alain Valette, 2003) The Geometry of Numbers
Giuliana_Davidoff
French mathematician (1928–2014)
V. Kumar Murty (6 October 2012). The Mathematical Legacy of Srinivasa Ramanujan. Springer Science & Business Media. pp. 156–. ISBN 978-81-322-0769-6.
Alexander_Grothendieck
Constituent college of the University of Cambridge in England
Clerk Maxwell, Ernest Rutherford and Niels Bohr, mathematicians Srinivasa Ramanujan and Charles Babbage, poets Lord Byron and Lord Tennyson, English jurist
Trinity_College,_Cambridge
French mathematician
the Wayback Machine, from the Erdős number project web site. Sárközy, A. (2005), "Jean-Louis Nicolas and the partitions", The Ramanujan Journal, 9 (1–2):
Jean-Louis_Nicolas
Influential faction in the Madras Presidency
principle of the best-backed" candidates. One beneficiary was Srinivasa Ramanujan, initially funded by clique member R. Ramachandra Rao, then Collector
Mylapore_clique
Shaivist sect founded in the 12th century
Bäumer 2010. Schouten 1995, p. 111-112. Klostermaier 2010. Ramanujan 1973, p. 35-36. Ramanujan 1973, pp. 116-117 with footnote 45 on p. 194. Ishwaran, Karigoudar
Lingayats
Canadian-American mathematician (born 1974)
Hasse Prize from the MAA in 2003, the Clay Research Award, the SASTRA Ramanujan Prize, and the Leonard M. and Eleanor B. Blumenthal Award for the Advancement
Manjul_Bhargava
Conjecture on zeros of the zeta function
the two-by-two p-adic special linear group. A regular finite graph is a Ramanujan graph, a mathematical model of efficient communication networks, if and
Riemann_hypothesis
Edible berry
Archived from the original on 24 July 2011. Retrieved 21 October 2009. Ramanujan, K. (30 January 2007). "Tomato genome project gets $1.8M". News.cornell
Tomato
American mathematician (1930–2007)
mathematician. He gave simple proofs of the prime number theorem and the Hardy–Ramanujan partition formula. He excelled on multiple occasions at the annual Putnam
Donald_J._Newman
Rational number sequence
integers ℤp, the p-adic zeta function. The following relations, due to Ramanujan, provide a method for calculating Bernoulli numbers that is more efficient
Bernoulli_number
different ways. It is known as the Ramanujan number or Hardy–Ramanujan number after G. H. Hardy and Srinivasa Ramanujan. Physics: μ = mp/me = 1836.152673426(32)
Orders_of_magnitude_(numbers)
Indian mathematician (1918–1994)
studying under K. Ananda Rau, who was a contemporary and friend of Srinivasa Ramanujan and a student of G. H. Hardy at the University of Cambridge. Venkataraman
C._S._Venkataraman
In mathematics, a non-algebraic number
the algebraic points of moduli space SL2(ℤ)/ℍ. The values of the Rogers-Ramanujan continued fraction R(q) where q∈ℂ is algebraic and 0<|q|<1. The lemniscatic
Transcendental_number
Degrees of separation from Paul Erdős
Srinivasa Ramanujan has an Erdős number of only 3 (through G. H. Hardy, Erdős number 2), even though Paul Erdős was only 7 years old when Ramanujan died.
Erdős_number
Analytic function in mathematics
divergent series 1 + 2 + 3 + 4 + ⋯, which has been used in certain contexts (Ramanujan summation) such as string theory. Analogously, ζ(0)=−12 can be viewed
Riemann_zeta_function
British mathematician who proved Fermat's Last Theorem
Medal), Ehud de Shalit, Ritabrata Munshi (winner of the SSB Prize and ICTP Ramanujan Prize), Karl Rubin (son of Vera Rubin), Christopher Skinner, and Vinayak
Andrew_Wiles
Product of numbers from 1 to n
factorial prime; relatedly, Brocard's problem, also posed by Srinivasa Ramanujan, concerns the existence of square numbers of the form n!+1. In contrast
Factorial
Probability distribution
series asymptotic approximation of the median by comparing the median to Ramanujan's θ function. Berg and Pedersen found more terms: ν(α)=α−13+8405α−1+18
Gamma_distribution
divisor problem: the specific case of the Piltz divisor problem for: k=1 Ramanujan–Petersson conjecture: a number of generalizations of the original conjecture
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Controversies around the Nobel Prize in Physics
scientists which Narlikar considered to be of Nobel Prize class were Srinivasa Ramanujan, Chandrasekhara Venkata Raman and Meghnad Saha. However, when asked about
Nobel Prize in Physics controversies
Nobel_Prize_in_Physics_controversies
Plane curve
Mark B. (20 June 2005). "Ramanujan's Perimeter of an Ellipse". arXiv:math.CA/0506384. We present a detailed analysis of Ramanujan's most accurate approximation
Ellipse
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RAMANUJAN MACHINE
RAMANUJAN MACHINE
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