Statements (506)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Mathematician
|
| gptkbp:awarded_for |
Fellow of the Royal Society
|
| gptkbp:awards |
Fellow of the Royal Society
|
| gptkbp:birth_date |
December 22, 1887
1887-12-22 |
| gptkbp:birth_place |
gptkb:Erode,_India
|
| gptkbp:born |
December 22, 1887
|
| gptkbp:born_in |
gptkb:India
gptkb:Erode,_India |
| gptkbp:born_on |
December 22, 1887
|
| gptkbp:burial_place |
gptkb:Kumbakonam
|
| gptkbp:collaborated_with |
gptkb:G._H._Hardy
|
| gptkbp:contributed_to |
gptkb:Analytic_number_theory
gptkb:Riemann_surfaces gptkb:Combinatorics gptkb:Riemann_zeta_function gptkb:Modular_forms Algebra Algebraic geometry Geometry Infinite series Mathematical analysis Mathematical logic Number theory Topology Analysis Graph theory Statistical mechanics Computational mathematics Mathematical physics Differential equations Mathematical education Quantum theory number theory infinite series Asymptotic analysis mathematical analysis modular forms q-series continued fractions Elliptic functions Transcendental numbers Partition function Functional equations Hypergeometric series Theta functions |
| gptkbp:contribution |
gptkb:Analytic_number_theory
gptkb:Euler's_totient_function gptkb:Algebraic_identities gptkb:Continued_fractions gptkb:Cubic_equations gptkb:Riemann_zeta_function gptkb:Quantum_mechanics gptkb:Diophantine_equations gptkb:Modular_forms gptkb:Complex_analysis Combinatorial identities Infinite series Mathematical analysis Mathematical logic Mathematical modeling Number theory Graph theory Statistical mechanics Approximation theory Bernoulli numbers Computational mathematics Mathematical physics Numerical analysis Differential equations Mathematical education q-series L-functions Real analysis Elliptic functions Transcendental numbers Rational approximations Fibonacci numbers Highly composite numbers Integral equations Functional equations Mock theta functions Hypergeometric series Modular equations Number theory conjectures Ramanujan's congruences Theta functions Infinite products P-adic numbers Ramanujan series for π Sieve theory Sums of squares |
| gptkbp:death_date |
April 26, 1920
1920-04-26 |
| gptkbp:developed_by |
gptkb:Ramanujan's_tau_function
Ramanujan's congruences |
| gptkbp:died |
April 26, 1920
|
| gptkbp:died_in |
gptkb:1920
gptkb:Kumbakonam,_India |
| gptkbp:died_on |
April 26, 1920
|
| gptkbp:discovered_by |
Ramanujan's congruences
|
| gptkbp:education |
gptkb:University_of_Cambridge
|
| gptkbp:family |
K. Srinivasa Ramanujan (father)
Komalatammal (mother) |
| gptkbp:famous_for |
gptkb:Ramanujan's_tau_function
gptkb:Ramanujan's_theta_function Ramanujan's work on the theory of asymptotic expansions Ramanujan's work on hypergeometric series Ramanujan's work on modular forms Ramanujan's work on q-series Ramanujan's work on the theory of infinite series Ramanujan's work on the theory of modular forms Ramanujan's work on the theory of numbers Ramanujan's work on the theory of partitions Ramanujan's work on the theory of continued fractions Ramanujan's work on the theory of transcendental numbers Ramanujan's work on the theory of elliptic functions Ramanujan's work on the theory of modular forms and elliptic curves Ramanujan's work on the theory of algebraic numbers Ramanujan's congruences Ramanujan's conjectures Ramanujan's work on continued fractions Ramanujan's work on modular equations Ramanujan's work on prime numbers Ramanujan's work on theta functions Ramanujan's asymptotic formula Ramanujan's work on number theory Ramanujan's work on elliptic functions Ramanujan's work on the theory of theta functions Ramanujan's work on the theory of analytic functions Ramanujan's work on the distribution of prime numbers Ramanujan's work on the theory of q-series Ramanujan's work on the theory of Diophantine equations Ramanujan's master theorem Ramanujan's work on infinite series partition function p(n) Ramanujan's work on the theory of hypergeometric series Ramanujan's work on the theory of the theory of the theory of hypergeometric series Ramanujan's work on the theory of the theory of the theory of partitions Ramanujan's work on the theory of the theory of q-series Ramanujan's work on the theory of the theory of the theory of theta functions Ramanujan's work on the theory of the distribution of prime numbers Ramanujan's work on the theory of the theory of hypergeometric series Ramanujan's work on the theory of the theory of the Riemann hypothesis Ramanujan's work on the theory of the theory of the theory of continued fractions Ramanujan's work on the theory of the theory of the theory of q-series Ramanujan's work on the theory of the theory of the theory of elliptic functions Ramanujan's work on the theory of the theory of modular forms Ramanujan's work on the theory of the theory of elliptic functions Ramanujan's work on mathematical analysis Ramanujan's work on the Riemann hypothesis Ramanujan's work on the theory of modular equations Ramanujan's work on the theory of the theory of the theory of modular forms Ramanujan's work on the theory of the theory of the theory of modular equations Ramanujan's work on the theory of the theory of the theory of the distribution of prime numbers Ramanujan's work on the theory of the theory of partitions Ramanujan's work on the theory of the Riemann hypothesis Ramanujan's work on the theory of the theory of numbers Ramanujan's work on the theory of the theory of continued fractions Ramanujan's work on the theory of the theory of theta functions Ramanujan's work on the theory of the theory of the theory of numbers Ramanujan's work on the theory of the theory of the theory of the Riemann hypothesis Ramanujan's work on the theory of the theory of the distribution of prime numbers Ramanujan's work on the theory of the theory of modular equations Ramanujan's work on the theory of modular forms and modular equations Ramanujan's work on the theory of modular invariants Ramanujan's work on highly composite numbers Ramanujan's work on mock theta functions Ramanujan's work on the circle method Ramanujan's work on the Hardy-Ramanujan asymptotic formula Ramanujan's work on the theory of modular forms and modular invariants Ramanujan's work on the theory of modular forms and modular functions and modular equations Ramanujan's work on the theory of modular forms and modular functions and modular invariants Ramanujan's work on the theory of modular forms and modular functions Ramanujan's work on the theory of modular functions |
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:field_of_study |
gptkb:Mathematics
|
| gptkbp:full_name |
gptkb:Srinivasa_Ramanujan
|
| gptkbp:has_feature |
gptkb:Analytic_number_theory
gptkb:Riemann_surfaces gptkb:Algebraic_number_theory gptkb:Continued_fractions gptkb:Diophantine_equations gptkb:Complex_analysis Combinatorial identities Infinite series Number theory Mathematical induction Algebraic topology Asymptotic analysis q-series Elliptic functions Transcendental numbers Algebraic integers Functional equations Modular equations Ramanujan's congruences Ramanujan's conjectures Ramanujan's formulas Ramanujan's identities Ramanujan's theorems Theta functions Ramanujan's results |
| gptkbp:has_influence_on |
Mathematical community
Mathematical education Mathematical research Mathematical journals Mathematical conferences Mathematical societies Mathematical theories Mathematical history Mathematical problems Mathematical solutions Mathematical techniques Mathematical outreach Mathematical applications Mathematical discoveries Mathematical culture Mathematical innovations Mathematical publications Mathematical collaborations Mathematical tools Mathematical legacy Mathematical awards Mathematical methods Mathematical recognition Mathematical theories of numbers |
| https://www.w3.org/2000/01/rdf-schema#label |
Ramanujan
|
| gptkbp:influence |
gptkb:crypt
gptkb:Combinatorics gptkb:Mathematics gptkb:astronomy gptkb:Fluid_dynamics gptkb:supply_chain_management gptkb:Complex_analysis Algebraic geometry Biostatistics Computer science Control theory Decision theory Epidemiology Geophysics Mathematical analysis Mathematical logic Mathematical modeling Mechanics Risk management Social choice theory Statistics Theoretical physics Thermodynamics Topology Actuarial science Biophysics Graph theory Information theory Operations research Mathematical biology Mathematical economics Mathematical physics Numerical analysis Differential equations Game theory Operations management Quantum physics Voting theory Financial mathematics Mathematical chemistry |
| gptkbp:influenced |
gptkb:engineers
gptkb:Continued_fractions gptkb:Combinatorics gptkb:Mathematics Algebraic geometry Computer science Infinite series Mathematical analysis Mathematical logic Number theory Theoretical computer science Economists Mathematical physics Data scientists Actuaries Statisticians q-series Modern mathematics Computer scientists Cryptographers Elliptic functions Modern number theory Mathematicians worldwide Theoretical physicists Operations researchers Mathematicians such as Hardy and Littlewood |
| gptkbp:influenced_by |
gptkb:G._H._Hardy
Algebraic numbers Mathematics of the 19th century Srinivasa Ramanujan's work on continued fractions Srinivasa Ramanujan's mother |
| gptkbp:ingredients |
Ramanujan's formula for the partition function
|
| gptkbp:inspired |
gptkb:Ramanujan's_work_on_partitions
Ramanujan's conjecture Ramanujan's work on hypergeometric series Ramanujan's work on modular forms Ramanujan's work on asymptotic analysis Ramanujan's work in mathematics |
| gptkbp:is_associated_with |
gptkb:Riemann_hypothesis
Partition theory Highly composite numbers Mock theta functions Modular equations Hardy-Ramanujan asymptotic formula Ramanujan's master theorem |
| gptkbp:is_explored_in |
gptkb:Analytic_number_theory
|
| gptkbp:is_known_for |
His work on elliptic functions
His work on the theory of numbers His work on theta functions His work on prime numbers His work on the Riemann zeta function's values at positive integers His work on the analytic continuation of the zeta function His work on hypergeometric series His work on the asymptotic behavior of functions His work on the distribution of prime numbers His work on the zeros of the zeta function His work on the functional equation of the zeta function His work on the distribution of zeros of the zeta function His work on the Riemann zeta function's functional equation His work on the Riemann zeta function's critical line |
| gptkbp:is_remembered_for |
His intuition in mathematics
|
| gptkbp:is_studied_in |
gptkb:Continued_fractions
gptkb:Modular_forms Infinite series Elliptic functions |
| gptkbp:known_for |
gptkb:Analytic_number_theory
gptkb:Ramanujan's_tau_function gptkb:Continued_fractions gptkb:Ramanujan's_theta_function gptkb:Ramanujan_prime gptkb:Ramanujan-Hardy_number gptkb:Modular_forms Infinite series Number theory Contributions to number theory theory of partitions Transcendental numbers Contributions to mathematical analysis Partition function Ramanujan theta function Ramanujan's notebooks Theory of continued fractions Mock theta functions Hypergeometric series Ramanujan's work on hypergeometric series Ramanujan's work on modular forms Ramanujan's work on the Riemann zeta function Ramanujan's work on the theory of infinite series Ramanujan's work on the theory of modular forms Ramanujan's work on the theory of numbers Ramanujan's work on the theory of partitions Ramanujan's work on the theory of transcendental numbers Ramanujan's work on the theory of elliptic functions Ramanujan's work on the theory of algebraic numbers Ramanujan's congruences Ramanujan's identities Ramanujan's work on continued fractions Ramanujan's work on modular equations Ramanujan's work on theta functions Ramanujan's work on number theory Ramanujan's work on elliptic functions Ramanujan's work on the theory of analytic functions Ramanujan's work on the distribution of prime numbers Ramanujan's work on the theory of integral equations Ramanujan's work on the theory of difference equations Ramanujan's work on the theory of differential equations Ramanujan's work on the theory of special functions Ramanujan's work on the theory of functional equations Ramanujan's work on the theory of algebraic functions Ramanujan's work on continued fractions and their applications Ramanujan's work on continued fractions and their applications in game theory Ramanujan's work on continued fractions and their applications in approximation theory Ramanujan's work on continued fractions and their applications in mathematical analysis Ramanujan's work on continued fractions and their applications in data science Ramanujan's work on the theory of algebraic varieties Ramanujan's work on continued fractions in relation to elliptic integrals Ramanujan's work on continued fractions and their applications in combinatorics Ramanujan's work on continued fractions and their applications in number theory Ramanujan's work on the theory of difference equations. Ramanujan's work on the theory of partial differential equations Ramanujan's work on continued fractions and their applications in operations research Ramanujan's work on continued fractions and their applications in engineering Ramanujan's approximation for pi Ramanujan's master theorem Ramanujan's pi formula Ramanujan's series for e^x Ramanujan's work on asymptotic analysis Ramanujan's work on hypergeometric functions Ramanujan's work on infinite series Ramanujan's work on the theory of algebraic curves Ramanujan's work on continued fractions and their applications in optimization Ramanujan's work on continued fractions and their applications in computer science Ramanujan's work on continued fractions and their applications in cryptography Ramanujan's work on the theory of algebraic topology Ramanujan's work on continued fractions and their applications in machine learning Ramanujan's work on the theory of hypergeometric series Ramanujan's work on continued fractions and their applications in physics Ramanujan's work on continued fractions and their applications in statistics Ramanujan's work on the theory of continued fractions and their convergence properties Ramanujan's work on continued fractions and their applications in artificial intelligence Ramanujan's work on continued fractions and their applications in finance Ramanujan's work on continued fractions and their applications in numerical analysis Ramanujan's work on continued fractions and their applications in decision theory |
| gptkbp:legacy |
Influence on modern mathematics
|
| gptkbp:nationality |
Indian
|
| gptkbp:notable_students |
gptkb:Srinivasa_Ramanujan
|
| gptkbp:notable_work |
gptkb:The_Lost_Notebook
gptkb:Ramanujan's_tau_function gptkb:Continued_fractions gptkb:Ramanujan_prime gptkb:Ramanujan-Hardy_number gptkb:Ramanujan's_continued_fractions gptkb:Modular_forms Highly composite numbers Partition function Ramanujan's notebooks Mock theta functions Asymptotic expansions Ramanujan Prime |
| gptkbp:offers_degree |
gptkb:University_of_Cambridge
|
| gptkbp:place_of_birth |
gptkb:Erode,_India
|
| gptkbp:place_of_death |
gptkb:Kumbakonam,_India
|
| gptkbp:published |
Notebooks
Collected Papers |
| gptkbp:published_in |
Journal of the Indian Mathematical Society
|
| gptkbp:received |
gptkb:Fellowship_of_the_Royal_Society
|
| gptkbp:spouse |
gptkb:Janaki_Ammal
|
| gptkbp:was_influenced_by |
Indian mathematics
British mathematics |
| gptkbp:was_known_for |
His work on continued fractions
His work on infinite series His work on number theory |
| gptkbp:work |
gptkb:Analytic_number_theory
gptkb:Ramanujan's_tau_function gptkb:Algebraic_identities gptkb:Continued_fractions gptkb:Diophantine_equations gptkb:Complex_analysis Algebraic geometry Infinite series Mathematical analysis Mathematical logic Number theory Research papers Mathematical models Mathematical physics Prime numbers Asymptotic analysis Mathematical proofs Mathematical structures Mathematical systems Mathematical research Mathematical concepts Algebraic numbers Elliptic functions Transcendental numbers Rational approximations Mathematical frameworks Transcendental number theory Highly composite numbers Partition function Ramanujan's notebooks Mathematical constants Mathematical theories Theory of numbers Mathematical explorations Mathematical insights Mathematical problems Mathematical techniques Functional equations Mock theta functions Hypergeometric series Mathematical applications Mathematical discoveries Mathematical patterns Mathematical relationships Mathematical advancements Mathematical innovations Mathematical theorems Modular equations Number theory conjectures Number systems Mathematical studies Mathematical identities Mathematical inquiries Mathematical investigations Hardy-Ramanujan asymptotic formula Ramanujan's conjectures Mathematical conjectures Theta functions Combinatorial analysis Number-theoretic functions Transcendental functions |
| gptkbp:works_on |
gptkb:Modular_forms
|
| gptkbp:bfsParent |
gptkb:Nirmal_Chandra_Chatterjee
gptkb:Anand_Kumar gptkb:Kalpathi_S._Ganesh |
| gptkbp:bfsLayer |
6
|