A note on the higher order Turán inequalities for k-regular partitions

William Craig, Anna Pun

Type: Article

Publication Date: 2021-01-03

Citations: 7

DOI: https://doi.org/10.1007/s40993-020-00228-8

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Research in Number Theory - View

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Works That Cite This (7)

Action	Title	Year	Authors
+ PDF Chat	Higher order Turán inequalities for the distinct partition function	2024	Janet J. W. Dong Kathy Q. Ji
+ PDF Chat	Limits of Jensen polynomials for partitions and other sequences	2022	Cormac O’Sullivan
+	Asymptotics, Turán Inequalities, and the Distribution of the BG-Rank and 2-Quotient Rank of Partitions	2022	Andrew Baker Joshua Males
+	Log-concavity of the restricted partition function <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msub><mml:mrow><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="script">A</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi>k</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and the new Bessenrodt-Ono type inequality	2023	Krystian Gajdzica
+	Exact formulae and Turán inequalities for Vafa–Witten invariants of surfaces	2023	Daniel R. Johnston Joshua Males
+ PDF Chat	The Turán and Laguerre inequalities for quasi-polynomial-like functions	2024	Krystian Gajdzica
+	Limits of Jensen polynomials for partitions and other sequences	2021	Cormac O’Sullivan

Works Cited by This (10)

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+ PDF Chat	Higher order Turán inequalities	1998	Dimitar K. Dimitrov
+	Über zwei Arten von Faktorenfolgen in der Theorie der algebraischen Gleichungen.	1914	J. Schur G. PɃlya
+ PDF Chat	Log-concavity of the partition function	2014	Stephen DeSalvo Igor Pak
+ PDF Chat	Partitions with a restriction on the multiplicity of the summands	1971	Peter Hagis
+	On an inequality of P. Turán concerning Legendre polynomials	1948	Gábor Szegő
+ PDF Chat	Sur les entiers $N$ pour lesquels il y a beaucoup de groupes abéliens d'ordre $N$	1978	Jean-Louis Nicolas
+	The spt-function of Andrews	2017	William Y. C. Chen
+ PDF Chat	Jensen polynomials for the Riemann zeta function and other sequences	2019	Michael Griffin Ken Ono Larry Rolen Don Zagier
+ PDF Chat	Hyperbolicity of the partition Jensen polynomials	2019	Hannah Larson Ian Wagner
+	Higher order Turán inequalities for the partition function	2018	William Chen Dennis X. Q. Jia Larry X. W. Wang