Tapani Matala-aho

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All published works

Action	Title	Year	Authors
+	Explicit estimates for the sum ∑_{𝑘=0}ⁿ𝑘!𝑛\choose𝑘²(-1)^{𝑘}	2024	Anne-Maria Ernvall-Hytönen Tapani Matala-aho
+	Explicit estimates for the sum $\sum_{k=0}^{n} k! {n\choose k}^2 (-1)^{k}$	2023	Anne-Maria Ernvall-Hytönen Tapani Matala-aho
+	Euler's factorial series, Hardy integral, and continued fractions	2022	Anne-Maria Ernvall-Hytönen Tapani Matala-aho Louna Seppälä
+	An analogue of Siegel's determinant	2022	Tapani Matala-aho
+	Euler's factorial series, Hardy integral, and continued fractions	2021	Anne-Maria Ernvall-Hytönen Tapani Matala-aho Louna Seppälä
+	Euler's Divergent Series in Arithmetic Progressions.	2019	Anne-Maria Ernvall-Hytönen Tapani Matala-aho Louna Seppälä
+ PDF Chat	Hermite–Thue equation: Padé approximations and Siegel's lemma	2018	Tapani Matala-aho Louna Seppälä
+ PDF Chat	On Mahler’s Transcendence Measure for e	2018	Anne-Maria Ernvall-Hytönen Tapani Matala-aho Louna Seppälä
+	Euler's divergent series in arithmetic progressions	2018	Anne-Maria Ernvall-Hytönen Tapani Matala-aho Louna Seppälä
+	Euler's factorial series and global relations	2017	Tapani Matala-aho Wadim Zudilin
+	Rational approximations of the exponential function at rational points	2017	Kalle Leppälä Tapani Matala-aho Topi Törmä
+	Rational approximations of the exponential function at rational points	2016	Kalle Leppälä Tapani Matala-aho Topi Törmä
+ PDF Chat	On Baker type lower bounds for linear forms	2016	Tapani Matala-aho
+	A Geometric Face of Diophantine Analysis	2016	Tapani Matala-aho
+	Rational approximations of the exponential function at rational points	2016	Kalle Leppälä Tapani Matala-aho Topi Törmä
+ PDF Chat	An explicit Baker-type lower bound of exponential values	2015	Anne-Maria Ernvall-Hytönen Kalle Leppälä Tapani Matala-aho
+ PDF Chat	On approximation measures of q-exponential function	2015	Leena Leinonen Marko E. Leinonen Tapani Matala-aho
+ PDF Chat	On irrationality exponents of generalized continued fractions	2015	Jaroslav Hančl Kalle Leppälä Tapani Matala-aho Topi Törmä
+	On irrationality exponents of generalized continued fractions	2014	Jaroslav Hančl Kalle Leppälä Tapani Matala-aho Topi Törmä
+	On irrationality exponents of generalized continued fractions	2014	Jaroslav Hančl Kalle Leppälä Tapani Matala-aho Topi Törmä
+	An irrationality criterion for p-adic binomial series	2013	Tapani Matala-aho
+	An explicit Baker type lower bound of exponential values	2013	Anne-Maria Ernvall-Hytönen Kalle Leppälä Tapani Matala-aho
+	An explicit Baker type lower bound of exponential values	2013	Anne-Maria Ernvall-Hytönen Kalle Leppälä Tapani Matala-aho
+	Explicit irrationality measures for continued fractions	2012	Jaroslav Hančl Marko E. Leinonen Kalle Leppälä Tapani Matala-aho
+	Type II Hermite–Padé Approximations of Generalized Hypergeometric Series	2010	Tapani Matala-aho
+	Continued fractional measure of irrationality	2010	Jaroslav Hančl Tapani Matala-aho Simona Pulcerová
+	On Diophantine approximations of Ramanujan type q-continued fractions	2009	Tapani Matala-aho Ville Merilä
+ PDF Chat	On $q$ -analoques of divergent and exponential series	2009	Tapani Matala-aho
+	On irrationality measures of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mo>∑</mml:mo><mml:mrow><mml:mi>l</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow><mml:mo>∞</mml:mo></mml:msubsup><mml:msup><mml:mi>d</mml:mi><mml:mi>l</mml:mi></mml:msup><mml:mo stretchy="false">/</mml:mo><mml:msubsup><mml:mo>∏</mml:mo><mml:mrow><mml:mi>j</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>l</mml:mi></mml:msubsup><mml:mo …	2007	Tapani Matala-aho
+ PDF Chat	On Siegel–Shidlovskii's theory for q-difference equations	2007	Masaaki Amou Tapani Matala-aho Keijo Väänänen
+	ON THE VALUES OF CONTINUED FRACTIONS: q-SERIES II	2006	Tapani Matala-aho Ville Merilä
+	Quantitative irrationality for sums of reciprocals of Fibonacci and Lucas numbers	2006	Tapani Matala-aho Marc Prévost
+	New irrationality measures for 𝑞-logarithms	2005	Tapani Matala-aho Keijo Väänänen Wadim Zudilin
+	On the values of continued fractions: q-series	2003	Tapani Matala-aho
+	Irrationality Measures for the Series of Reciprocals from Recurrence Sequences	2002	Tapani Matala-aho Marc Prévost
+	Irrationality Measures for the Series of Reciprocals from Recurrence Sequences	2002	Tapani Matala-aho
+	On Diophantine approximations of the solutions of <i>q</i>-functional equations	2002	Tapani Matala-aho
+	Arithmetical Properties of Solutions of Linear Second Order q-Difference Equations	2002	Masaaki Amou Tapani Matala-aho
+ PDF Chat	Diophantine approximations for a constant related to elliptic functions	2001	Marc Huttner Tapani Matala-aho
+	None	2000	Tapani Matala-aho Keijo Väänäanen
+ PDF Chat	On approximation measures of <i>q</i>-logarithms	1998	Tapani Matala-aho Keijo Väänänen
+ PDF Chat	An application of Jacobi type polynomials to irrationality measures	1994	Ari Heimonen Tapani Matala-aho Keijo Väänänen
+	On irrationality measures of the values of Gauss hypergeometric function	1993	Ari Heimonen Tapani Matala-aho Keijo Väänänen
+	On Diophantine Approximations of the Rogers-Ramanujan Continued Fraction	1993	Tapani Matala-aho
+ PDF Chat	Remarks on the arithmetic properties of the values of hypergeometric functions	1983	Frits Beukers Keijo Väänänen Tapani Matala-aho

Common Coauthors

Coauthor	Papers Together
Kalle Leppälä	10
Anne-Maria Ernvall-Hytönen	10
Topi Törmä	6
Keijo Väänänen	6
Louna Seppälä	6
Jaroslav Hančl	5
Ville Merilä	2
Marko E. Leinonen	2
Masaaki Amou	2
Marc Prévost	2
Wadim Zudilin	2
Ari Heimonen	2
Frits Beukers	1
Simona Pulcerová	1
Leena Leinonen	1
Marc Huttner	1
Keijo Väänäanen	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Ein Satz �ber ganze Funktionen und Irrationalit�tsaussagen	1970	Peter Bundschuh	8
+	Explicit irrationality measures for continued fractions	2012	Jaroslav Hančl Marko E. Leinonen Kalle Leppälä Tapani Matala-aho	8
+	Arithmetische Eigenschaften spezieller Heinescher Reihen	1984	Thomas Stihl	7
+	Arithmetical investigations of a certain infinite product	1994	Peter Bundschuh Keijo Väänänen	7
+	On Diophantine Approximations of the Rogers-Ramanujan Continued Fraction	1993	Tapani Matala-aho	5
+ PDF Chat	On Some Diophantine Inequalities Involving the Exponential Function	1965	A. Baker	5
+ PDF Chat	On approximation measures of <i>q</i>-logarithms	1998	Tapani Matala-aho Keijo Väänänen	5
+ PDF Chat	On a paper by A. Baker on the approximation of rational powers of e	1975	Kurt Mahler	5
+	Independance lineaire des valeurs des solutions transcendantes de certaines equations fonctionnelles	1988	Jean-Paul Bézivin	5
+ PDF Chat	Transcendental Number Theory	1975	A. Baker	4
+	None	2000	Tapani Matala-aho Keijo Väänäanen	4
+	On Diophantine approximations of the solutions of <i>q</i>-functional equations	2002	Tapani Matala-aho	4
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	D. B. Owen Milton Abramowitz Irene A. Stegun	4
+	On the irrationality of Σ (1/(qn+r))	1991	Peter Borwein	4
+ PDF Chat	Модулярные функции и вопросы трансцендентности	1996	Юрий Валентинович Нестеренко Yuri Valentinovich Nesterenko	4
+	On Diophantine approximations of Ramanujan type q-continued fractions	2009	Tapani Matala-aho Ville Merilä	4
+	The Theory of Partitions	1984	George E. Andrews	4
+ PDF Chat	On Baker type lower bounds for linear forms	2016	Tapani Matala-aho	3
+	Rational approximations to certain numbers	2000	B. G. Tasoev	3
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	J. W. W. Milton Abramowitz Irene A. Stegun	3
+ PDF Chat	Approximate formulas for some functions of prime numbers	1962	J. Barkley Rosser Lowell Schoenfeld	3
+	Transcendental Numbers	1989	A B Shidlovskiĭ	3
+ PDF Chat	Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers	1997	Daniel Duverney Keiji Nishioka Kumiko Nishioka Iekata Shiokawa	3
+	Special Functions	1999	George E. Andrews Richard Askey Ranjan Roy	3
+	Rational approximations of the exponential function at rational points	2017	Kalle Leppälä Tapani Matala-aho Topi Törmä	3
+ PDF Chat	Rational approximations to the Rogers-Ramanujan continued fraction	1988	Iekata Shiokawa	3
+	Sur la fonction exponentielle	2009		3
+	On linear independence of the values of generalized Heine series	2003	Keijo Väänänen	3
+ PDF Chat	On the approximation of certain infinite products.	1993	Keijo Väänänen	3
+	Zur Approximation gewisser p-adischer algebraischer Zahlen durch rationale Zahlen.	1974	Peter Bundschuh	3
+	On Tasoev's continued fractions	2003	Takao Komatsu	3
+	On simple continued fractions with partial quotients in arithmetic progressions	1998	Peter Bundschuh	3
+	Remarks On Mahler′s Transcendence Measure for e	1995	Maki Hata	3
+	On the diophantine approximation of values of functions satisfying certain linear q-difference equations	1971	Charles F. Osgood	3
+	On the values of continued fractions: q-series	2003	Tapani Matala-aho	3
+ PDF Chat	On $q$ -analoques of divergent and exponential series	2009	Tapani Matala-aho	3
+ PDF Chat	Arithmetical properties of the values of functions satisfying certain functional equations of Poincaré	2001	Masaaki Amou Masanori Katsurada Keijo Väänänen	3
+	Linear independence measures for values of Heine series	1989	Masanori Katsurada	3
+	Legendre type polynomials and irrationality measures.	1990	Masayoshi Hata	3
+	Padé Approximation to the Logarithmic Derivative of the Gauss Hypergeometric Function	2002	Masayoshi Hata Marc Huttner	3
+	Lower bounds for polynomials in the values of certain entire functions	1996	Wadim Zudilin	3
+ PDF Chat	An explicit Baker-type lower bound of exponential values	2015	Anne-Maria Ernvall-Hytönen Kalle Leppälä Tapani Matala-aho	3
+ PDF Chat	Baker-Type Estimates for Linear Forms in the Values of <i>q</i>-Series	2005	Keijo Väänänen Wadim Zudilin	3
+ PDF Chat	q-difference equations and Ramanujan-Selberg continued fractions	1991	Liang-Cheng Zhang	2
+	Rational approximations of some functions at rational points	1978	L. V. Danilov	2
+	None	1997	Daniel Bertrand	2
+ PDF Chat	The continued fractions found in the unorganized portions of Ramanujan’s notebooks	1992	George E. Andrews Bruce C. Berndt Lisa Jacobsen Robert L. Lamphere	2
+	Continued Fractions with Applications.	1994	David R. Masson Lisa Lorentzen Haakon Waadeland	2
+ PDF Chat	Effective estimates for global relations on Euler-type series	2004	Daniel Bertrand В. Г. Чирский Johan Yebbou	2
+	Type II Hermite–Padé Approximations of Generalized Hypergeometric Series	2010	Tapani Matala-aho	2