Linear Independence of q-Analogues of Certain Classical Constants

Peter Bundschuh, Keijo Väänänen

Type: Article

Publication Date: 2005-03-01

Citations: 18

DOI: https://doi.org/10.1007/bf03323010

View Publication

Locations

Resultate der Mathematik - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Remarks on linear independence of q-harmonic series	2012	Peter Bundschuh
+ PDF Chat	Irrationality measures for certain $q$-mathematical constants	2007	Peter Bundschuh Wadim Zudilin
+	Linear independence of the values of $q$-hypergeometric series (New Aspects of Analytic Number Theory)	2002	Masaaki Amou
+ PDF Chat	Linear independence of harmonic numbers over the field of algebraic numbers	2019	Tapas Chatterjee Sonika Dhillon
+ PDF Chat	Linear Independence of -Logarithms over the Eisenstein Integers	2010	Peter Bundschuh Keijo Väänänen
+	Linear and Algebraic Independence of q-Zeta Values	2005	Yu. A. Pupyrev
+ PDF Chat	Remarks on linear independence of certain q-series	2012	Keijo Väänänen
+	Linear independence of harmonic numbers over the field of algebraic numbers II	2019	Tapas Chatterjee Sonika Dhillon
+	Linear Independence of Harmonic Numbers over the field of Algebraic Numbers	2018	Tapas Chatterjee Sonika Dhillon
+ PDF Chat	On linear independence of values of certain $ q$-series	2011	Igor Rochev
+	Linear independence of logarithms of certain rational numbers	1989	В. Н. Сорокин
+	A kind of identities for generalized q-harmonic numbers and reciprocals of q-binomial coefficients.	2015	Jizhen Yang Yunpeng Wang
+	Algebraic independence of subseries over arithmetical progressions of certain exponential power series	2015	Takeshi Kurosawa Iekata Shiokawa
+ PDF Chat	$q$-linear Functions and Algebraic Independence	2002	Takeshi Kurosawa Iekata Shiokawa
+	Quadratic harmonic number sums	2012	Anthony Sofo Mehdi Hassani
+	$q$-Rational and $q$-Real Binomial Coefficients	2023	John Machacek Nicholas Ovenhouse
+	On the linear independence of certain theta-series	1988	J. Kramer
+ PDF Chat	The Base of Napier's Logarithms	1904	G. B. M.
+	Hyperbolic logarithms	2012	Charles Hutton Olinthus Gregory
+	Hyperbolic logarithms	2012	Charles Hutton Olinthus Gregory

Works That Cite This (16)

Action	Title	Year	Authors
+	On Arithmetical Properties of Certain q-Series	2009	Ville Merilä
+ PDF Chat	Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values	2006	Wadim Zudilin
+	A <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-analogue of the Bailey–Borwein–Bradley identity	2011	Kh. Hessami Pilehrood Tatiana Hessami Pilehrood
+ PDF Chat	Remarks on linear independence of q-harmonic series	2012	Peter Bundschuh
+ PDF Chat	Linear Independence of -Logarithms over the Eisenstein Integers	2010	Peter Bundschuh Keijo Väänänen
+ PDF Chat	Indépendance linéaire et algébrique de fonctions liées à la fonction <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-dzeta	2008	Jean-Paul Bézivin
+ PDF Chat	Irrationality measures for certain $q$-mathematical constants	2007	Peter Bundschuh Wadim Zudilin
+	Hermite-Padé Rational Approximation to Irrational Numbers	2010	Walter Van Assche
+ PDF Chat	Hypergeometric Series, Lemniscate Functions, Q−xtensions and Jacobi Elliptic Functions	2023	Marco Cantarini
+ PDF Chat	On the irrationality of generalized q-logarithm	2016	Wadim Zudilin

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Heine's basic transform and a permutation group for q-harmonic series	2004	Wadim Zudilin
+	On the irrationality of Σ (1/(qn+r))	1991	Peter Borwein
+ PDF Chat	Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values	2006	Wadim Zudilin
+	On the irrationality measure for a $ q$-analogue of $ \zeta(2)$	2002	Wadim Zudilin
+	Independance lineaire des valeurs des solutions transcendantes de certaines equations fonctionnelles	1988	Jean-Paul Bézivin
+	Modular functions and transcendence questions	1996	Yu. V. Nesterenko
+	ARITHMETICAL RESULTS ON CERTAIN MULTIVARIATE POWER SERIES	2006	Peter Bundschuh Ping Zhou
+ PDF Chat	Irrationality of Certain Lambert Series	2004	Yohei Tachiya
+ PDF Chat	On the irrationality of certain series	1992	Peter Borwein
+ PDF Chat	Модулярные функции и вопросы трансцендентности	1996	Юрий Валентинович Нестеренко Yuri Valentinovich Nesterenko