Search results

{{short description|Mathematical problem concerning limit cycles in dynamical systems}} ...ematics|Is there a [[uniformly bounded|uniform bound]] on [[limit cycles]] in generic finite-parameter families of [[vector fields]] on a sphere?}} ...

{{Short description|Unsolved problem in theoretical computer science}} In [[theoretical computer science]], the '''log-rank conjecture''' states that ...

...ort description|Existence of a prime number between each square and pronic number}} {{unsolved|mathematics|Is every pair of a square number and a pronic number (both greater than one) separated by at least one prime?}} ...

{{Short description|Unsolved problem in mathematics}} {{unsolved|mathematics|Can the totient function of a composite number <math>n</math> divide <math>n-1</math>?}} ...

...lean function]]s originally conjectured by Ehud Friedgut and [[Gil Kalai]] in 1996.<ref>{{cite journal|last1=Friedgut|first1=Ehud|last2=Kalai|first2=Gil| ...= \sum_{S \subset [n]} \widehat{f}(S) x_S, \text{ where } x_S = \prod_{i \in S} x_i. </math> ...

{{short description|Two unsolved conjectures in algebraic number theory}} ...[algebraic number theory]] proposed by [[Ralph Greenberg]]. Both are still unsolved as of 2021. ...

{{Short description|Unsolved mathematical problem}} ...te = 23 October 2017| doi-access = free}}</ref> This problem is still open in full generality. The problem asks: ...

...Richard K. |author1-link=Richard K. Guy |title=Unsolved Problems in Number Theory |url= |issue=3rd edition|year=2004 |editor1-last= Bencsáth |editor1-first=K ...>''j''</sub>&nbsp;{{=}}&nbsp;''k''}}, where {{math|''k''}} is an [[integer number|integer]] varying between {{math|−2''n'' and 2''n''}}<!-- Should it be: bet ...

...ime divisors of [[Mersenne numbers]] and was made by [[Donald B. Gillies]] in a 1964 paper<ref>{{cite journal | title = Three new Mersenne primes and a statistical theory ...

{{unsolved|mathematics|Is there a [[dense set]] of points in the plane at rational distances from each other?}} ...a [[dense set]] of points whose [[Euclidean distance]]s are all [[rational number]]s. It is named after [[Paul Erdős]] and [[Stanislaw Ulam]]. ...

{{short description|Unsolved problem in number theory}} In [[mathematics]], the '''Manin conjecture''' describes the conjectural distr ...

...d by [[Ellis Kolchin]] at the [[International Congress of Mathematicians]] in 1966 (Moscow) ...undamental open problem in [[differential algebra]] related to [[dimension theory]]. ...

...tree and a clique as induced subgraphs produce graphs of bounded chromatic number?}} ...bgraph]]s can be [[graph coloring|properly colored]] using only a constant number of colors. Equivalently, it asks whether the <math>T</math>-free graphs are ...

{{Short description|Unsolved problem in mathematics}} {{Unsolved|mathematics|Is every sufficiently large sequence of square numbers with con ...

{{Short description|Unsolved problem about oriented graphs}} ...rk on the Second Neighborhood Problem |journal=Electronic Journal of Graph Theory and Applications |year=2015 |volume=3 |issue=2 |pages=182–190 |doi=10.5614/ ...

{{short description|Set of 36 mathematics problems posed by Yutaka Taniyama}} ...Conjecture|journal=Notices of the AMS|pages=1301-1307|year=1995|volume=42|number=11}}</ref> ...

{{short description|Unsolved problem in mathematics}} | field = [[analytic number theory]] ...

{{short description|Unsolved conjecture in number theory}} ...the sum of some other {{mvar|k}}-th powers, then the total number of terms in both sums combined must be at least {{mvar|k}}. ...

{{Short description|A coprime number less than a given integer}} ...me]] to&nbsp;{{mvar|n}}. [[Euler's totient function]] φ(''n'') counts the number of totatives of ''n''. The totatives under multiplication modulo ''n'' for ...

{{Short description|Unsolved problem in number theory}} ...re on arithmetic progressions]]) posed by [[Paul Erdős]] and [[Pál Turán]] in 1941. ...