Properties (72)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical identity
|
| gptkbp:established |
gptkb:Leonhard_Euler
|
| gptkbp:expansion |
other mathematical contexts.
|
| gptkbp:has_a_focus_on |
mathematical history.
|
| gptkbp:has_implications_for |
mathematical analysis
|
| gptkbp:hasPrograms |
quantum_physics.
|
| https://www.w3.org/2000/01/rdf-schema#label |
Basel's identity
|
| gptkbp:influenced |
further research in mathematics.
|
| gptkbp:is_a |
a beautiful result in mathematics.
a convergent series a mathematical series. |
| gptkbp:is_a_resource_for |
convergence tests.
|
| gptkbp:is_a_subject_of |
mathematics.
analytic number theory. the relationship between series and functions. the study of series. |
| gptkbp:is_essential_for |
number theory
the history of mathematics. |
| gptkbp:is_featured_in |
the power of infinite series.
the_Basel_problem. |
| gptkbp:is_involved_in |
the more general zeta function at even integers.
|
| gptkbp:is_used_in |
theoretical physics
mathematical literature. advanced mathematics textbooks. various methods including complex analysis. |
| gptkbp:isConnectedTo |
Fourier series
the distribution of prime numbers. |
| gptkbp:operations |
∑(n=1 to ∞) 1/n² = π²/6
|
| gptkbp:publishedBy |
1734
|
| gptkbp:related_to |
gptkb:Riemann_zeta_function
the concept of infinite series. the_Euler_product_formula. |
| gptkbp:state |
the sum of the reciprocals of the squares of the natural numbers equals pi squared over six.
|
| gptkbp:taught |
calculus courses.
|
| gptkbp:was_a_result_of |
the field of mathematics.
has been a celebrated remarkable achievement in mathematics. has been a source of inspiration for mathematicians. has been a topic of discussion among mathematicians. has been a celebrated achievement in mathematics. has been a celebrated discovery in mathematics. has been a celebrated finding in mathematics. has been a celebrated key finding in mathematics. has been a celebrated landmark in mathematics. has been a celebrated milestone in mathematics. has been a celebrated result in mathematics. has been a celebrated theorem in mathematics. has been a cornerstone in mathematical analysis. has been a defining moment in mathematics. has been a key finding in mathematical studies. has been a key topic in mathematical education. has been a landmark in mathematical history. has been a major achievement in mathematics. has been a notable discovery in mathematics. has been a pivotal point in mathematical research. has been a remarkable achievement in mathematics. has been a significant milestone in mathematics. has been a subject of fascination. has been celebrated for its elegance. has been discussed in many mathematical papers. has been explored in mathematical research. has been generalized in various ways. has been influential in mathematics. has been proven in multiple ways. has been used in various proofs. has been verified by many mathematicians. has fascinated mathematicians for centuries. has implications for calculus. has been a celebrated defining moment in mathematics. has been a celebrated significant contribution to mathematics. has been a celebrated notable discovery in mathematics. has been a significant contribution to mathematics. has been a celebrated pivotal point in mathematics. |