Lukas Spiegelhofer

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All published works

Action	Title	Year	Authors
+ PDF Chat	The joint distribution of binary and ternary digits sums	2025	Michael Drmota Lukas Spiegelhofer
+ PDF Chat	Binary-ternary collisions and the last significant digit of $n!$ in base 12	2024	Jean-Marc Deshouillérs P. Jelínek Lukas Spiegelhofer
+ PDF Chat	Decomposing the sum-of-digits correlation measure	2024	Bartosz Sobolewski Lukas Spiegelhofer
+	Block Occurrences in the Binary Expansion	2024	Bartosz Sobolewski Lukas Spiegelhofer
+ PDF Chat	Collisions of digit sums in bases 2 and 3	2023	Lukas Spiegelhofer
+	Thue--Morse along the sequence of cubes	2023	Lukas Spiegelhofer
+	Block occurrences in the binary expansion	2023	Bartosz Sobolewski Lukas Spiegelhofer
+ PDF Chat	Möbius orthogonality of sequences with maximal entropy	2022	Michael Drmota Christian Mauduit Joël Rivat Lukas Spiegelhofer
+	Synchronizing automatic sequences along Piatetski-Shapiro sequences	2022	Jean-Marc Deshouillérs Michael Drmota Clemens Müllner Andrei Shubin Lukas Spiegelhofer
+	Répartition jointe dans les classes de résidus de la somme des chiffres pour deux représentations d’Ostrowski	2021	M. Amri Lukas Spiegelhofer Jörg Μ. Thuswaldner
+	The binary digits of n+t	2021	Lukas Spiegelhofer Michael Wallner
+	Primes as sums of Fibonacci numbers	2021	Michael Drmota Clemens Müllner Lukas Spiegelhofer
+	Collisions of the binary and ternary sum-of-digits functions	2021	Lukas Spiegelhofer
+ PDF Chat	A lower bound for Cusick’s conjecture on the digits of <i>n</i> + <i>t</i>	2021	Lukas Spiegelhofer
+	Gaps in the Thue--Morse word	2021	Lukas Spiegelhofer
+	Collisions of digit sums in bases 2 and 3	2021	Lukas Spiegelhofer
+	Primes as sums of Fibonacci numbers	2021	Michael Drmota Clemens Müllner Lukas Spiegelhofer
+	Gaps in the Thue--Morse word	2021	Lukas Spiegelhofer
+ PDF Chat	The level of distribution of the Thue–Morse sequence	2020	Lukas Spiegelhofer
+	The digits of n+t	2020	Lukas Spiegelhofer Michael Wallner
+ PDF Chat	The sum-of-digits function on arithmetic progressions	2020	Lukas Spiegelhofer Thomas Stoll
+	Möbius orthogonality of sequences with maximal entropy	2020	Michael Drmota Christian Mauduit Joël Rivat Lukas Spiegelhofer
+	Sur la répartition jointe de la représentation d'Ostrowski dans les classes de résidue	2020	M. Amri Lukas Spiegelhofer Jörg Μ. Thuswaldner
+	Möbius orthogonality of sequences with maximal entropy	2020	Michael Drmota Christian Mauduit Joël Rivat Lukas Spiegelhofer
+	The binary digits of n+t	2020	Lukas Spiegelhofer Michael Wallner
+	A lower bound for Cusick's conjecture on the binary digits of n+t	2019	Lukas Spiegelhofer
+	A lower bound for Cusick's conjecture on the digits of n+t	2019	Lukas Spiegelhofer
+	Approaching Cusick's conjecture on the sum-of-digits function	2019	Lukas Spiegelhofer
+ PDF Chat	Statistical distribution of the Stern sequence	2019	Sandro Bettin Sary Drappeau Lukas Spiegelhofer
+ PDF Chat	Continuants, Run Lengths, and Barry's Modified Pascal Triangle	2019	Lukas Spiegelhofer Jeffrey Shallit
+ PDF Chat	The Tu–Deng Conjecture holds Almost Surely	2019	Lukas Spiegelhofer Michael Wallner
+ PDF Chat	RANDOMNESS AND NON‐RANDOMNESS PROPERTIES OF PIATETSKI‐SHAPIRO SEQUENCES MODULO <i>m</i>	2019	Jean-Marc Deshouillérs Michael Drmota Clemens Müllner Lukas Spiegelhofer
+	Approaching Cusick's conjecture on the sum-of-digits function	2019	Lukas Spiegelhofer
+	A lower bound for Cusick's conjecture on the digits of n+t	2019	Lukas Spiegelhofer
+ PDF Chat	Discrepancy Results for The Van Der Corput Sequence	2018	Lukas Spiegelhofer
+	Divisibility of binomial coefficients by powers of two	2018	Lukas Spiegelhofer Michael Wallner
+ PDF Chat	Pseudorandomness of the Ostrowski sum-of-digits function	2018	Lukas Spiegelhofer
+	Number Theoretic Aspects of Regular Sequences	2018	Michael James Coons Lukas Spiegelhofer
+	Möbius orthogonality for the Zeckendorf sum-of-digits function	2017	Michael Drmota Clemens Müllner Lukas Spiegelhofer
+	Discrepancy results for the Van der Corput sequence	2017	Lukas Spiegelhofer
+	A digit reversal property for an analogue of Stern's sequence	2017	Lukas Spiegelhofer
+	The Tu--Deng Conjecture holds almost surely	2017	Lukas Spiegelhofer Michael Wallner
+	Piatetski-Shapiro sequences via Beatty sequences	2017	Lukas Spiegelhofer
+	M\"obius orthogonality for the Zeckendorf sum-of-digits function	2017	Michael Drmota Clemens Müllner Lukas Spiegelhofer
+ PDF Chat	Normality of the Thue–Morse sequence along Piatetski-Shapiro sequences, II	2017	Clemens Müllner Lukas Spiegelhofer
+	The Maximal Order of Hyper-($b$-ary)-expansions	2017	Michael James Coons Lukas Spiegelhofer
+	A Digit Reversal Property for Stern Polynomials.	2017	Lukas Spiegelhofer
+ PDF Chat	An explicit generating function arising in counting binomial coefficients divisible by powers of primes	2017	Lukas Spiegelhofer Michael Wallner
+	A digit reversal property for an analogue of Stern's sequence	2017	Lukas Spiegelhofer
+	The Tu--Deng Conjecture holds almost surely	2017	Lukas Spiegelhofer Michael Wallner
+	Discrepancy results for the Van der Corput sequence	2017	Lukas Spiegelhofer
+	Möbius orthogonality for the Zeckendorf sum-of-digits function	2017	Michael Drmota Clemens Müllner Lukas Spiegelhofer
+	Piatetski-Shapiro sequences via Beatty sequences	2017	Lukas Spiegelhofer
+	Pseudorandomness of the Ostrowski sum-of-digits function	2016	Lukas Spiegelhofer
+	A digit reversal property for Stern polynomials	2016	Lukas Spiegelhofer
+ PDF Chat	On a Conjecture of Cusick Concerning the Sum of Digits of $n$ and $n+t$	2016	Michael Drmota Manuel Kauers Lukas Spiegelhofer
+	A digit reversal property for Stern polynomials	2016	Lukas Spiegelhofer
+	Pseudorandomness of the Ostrowski sum-of-digits function	2016	Lukas Spiegelhofer
+	The maximal order of hyper-($b$-ary)-expansions	2015	Michael James Coons Lukas Spiegelhofer
+ PDF Chat	NORMALITY OF THE THUE–MORSE SEQUENCE ALONG PIATETSKI-SHAPIRO SEQUENCES	2015	Lukas Spiegelhofer
+	On a Conjecture of Cusick Concerning the Sum of Digits of n and n + t	2015	Michael Drmota Manuel Kauers Lukas Spiegelhofer
+	On a Conjecture of Cusick Concerning the Sum of Digits of n and n + t	2015	Michael Drmota Manuel Kauers Lukas Spiegelhofer
+	The maximal order of hyper-($b$-ary)-expansions	2015	Michael James Coons Lukas Spiegelhofer
+ PDF Chat	Piatetski-Shapiro sequences via Beatty sequences	2014	Lukas Spiegelhofer
+	A Reverse Order Property of Correlation Measures of the Sum-of-Digits Function.	2012	Johannes F. Morgenbesser Lukas Spiegelhofer
+	Universal properties and categories of modules	2011	Lukas Spiegelhofer

Common Coauthors

Coauthor	Papers Together
Michael Drmota	9
Michael Wallner	8
Clemens Müllner	8
Michael Drmota	5
Michael James Coons	4
Bartosz Sobolewski	3
Jean-Marc Deshouillérs	3
Christian Mauduit	3
Manuel Kauers	3
Joël Rivat	3
M. Amri	2
Jörg Μ. Thuswaldner	2
Sary Drappeau	1
Jeffrey Shallit	1
Andrei Shubin	1
Johannes F. Morgenbesser	1
P. Jelínek	1
Thomas Stoll	1
Sandro Bettin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The ring of k-regular sequences, II	2003	Jean‐Paul Allouche Jeffrey Shallit	10
+ PDF Chat	On a Conjecture of Cusick Concerning the Sum of Digits of $n$ and $n+t$	2016	Michael Drmota Manuel Kauers Lukas Spiegelhofer	9
+ PDF Chat	Sur un problème de Gelfond : la somme des chiffres des nombres premiers	2010	Christian Mauduit Joël Rivat	9
+ PDF Chat	Central limit theorem for probability measures defined by sum-of-digits function in base 2	2019	Jordan Emme Pascal Hubert	7
+	A Reverse Order Property of Correlation Measures of the Sum-of-Digits Function.	2012	Johannes F. Morgenbesser Lukas Spiegelhofer	7
+ PDF Chat	La somme des chiffres des carrés	2009	Christian Mauduit Joël Rivat	7
+	Van der Corput's Method of Exponential Sums	1991	S. W. Graham Grigori Kolesnik	6
+	On the Asymptotic Behavior of Density of Sets Defined by Sum-of-digits Function in Base 2.	2017	Jordan Emme A.D. Prikhodko	6
+	The maximal order of Stern's diatomic sequence	2013	Michael James Coons Jason Tyler	6
+	Normality along squares	2018	Michael Drmota Christian Mauduit Joël Rivat	6
+	On a Combinatorial Conjecture of Tu and Deng.	2012	Guixin Deng Pingzhi Yuan	6
+	The ring of k-regular sequences	1992	Jean‐Paul Allouche Jeffrey Shallit	6
+	Möbius orthogonality for generalized Morse-Kakutani flows	2017	William A. Veech	5
+ PDF Chat	Prime numbers along Rudin–Shapiro sequences	2015	Christian Mauduit Joël Rivat	5
+	On the subword complexity of Thue–Morse polynomial extractions	2007	Yossi Moshe	5
+	Subsequences of automatic sequences indexed by<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">⌊</mml:mo><mml:msup><mml:mrow><mml:mi>n</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">⌋</mml:mo></mml:math>and correlations	2012	Jean-Marc Deshouillérs Michael Drmota Johannes F. Morgenbesser	5
+ PDF Chat	The Möbius function is strongly orthogonal to nilsequences	2012	Ben Green Terence Tao	5
+	Rudin–Shapiro sequences along squares	2017	Christian Mauduit Joël Rivat	5
+ PDF Chat	Automatic sequences fulfill the Sarnak conjecture	2017	Clemens Müllner	5
+	On the correlation of the Moebius functionwith rank-one systems	2013	Jean Bourgain	5
+	The Distribution of Prime Numbers in Sequences of the Form [<i>f</i> (<i>n</i> )]	1977	Dieter Leitmann	5
+	On Möbius orthogonality for interval maps of zero entropy and orientation-preserving circle homeomorphisms	2015	Davit Karagulyan	5
+	ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II)	1937	H. Davenport	5
+	Precise distribution properties of the van der Corput sequence and related sequences	2005	Michael Drmota Gerhard Larcher Friedrich Pillichshammer	5
+	Mobius Randomness and Dynamics	2011	Peter Sarnak	5
+	Möbius-Walsh correlation bounds and an estimate of Mauduit and Rivat	2013	Jean Bourgain	5
+ PDF Chat	Nombres premiers de la forme ⌊n<sup>c</sup>⌋	2001	Joël Rivat Patrick Sargos	5
+	An extension of Stern’s diatomic series	1969	David A. Lind	4
+	On Stern's Diatomic Series	1929	D. H. Lehmer	4
+	Disjointness of Moebius from Horocycle Flows	2012	Jean Bourgain Peter Sarnak Tamar Ziegler	4
+	Autour du système de numération d'Ostrowski	2001	Valérie Berthé	4
+ PDF Chat	On (Not) Computing the Möbius Function Using Bounded Depth Circuits	2012	Ben Green	4
+ PDF Chat	The Tu–Deng Conjecture holds Almost Surely	2019	Lukas Spiegelhofer Michael Wallner	4
+	A remark on a theorem of H. Daboussi	1986	И. Катаи	4
+	The horocycle flow at prime times	2014	Peter Sarnak Adrián Ubis	4
+ PDF Chat	Propriétés q-multiplicatives de la suite \lfloor n<sup>c</sup>\rfloor, c>1	2005	Christian Mauduit Joël Rivat	4
+ PDF Chat	The Möbius function and continuous extensions of rotations	2015	Joanna Kułaga-Przymus Mariusz Lemańczyk	4
+ PDF Chat	On spectral disjointness of powers for rank-one transformations and Möbius orthogonality	2013	El Houcein El Abdalaoui Mariusz Lemańczyk Thierry de la Rue	4
+ PDF Chat	0-1 sequences of the Thue-Morse type and Sarnak’s conjecture	2015	El Houcein El Abdalaoui Stanisław Kasjan Mariusz Lemańczyk	4
+ PDF Chat	The Rudin–Shapiro Sequence and Similar Sequences Are Normal Along Squares	2017	Clemens Müllner	4
+	The Maximal Order of Hyper-($b$-ary)-expansions	2017	Michael James Coons Lukas Spiegelhofer	4
+	None	2002	Christian Maudutt	4
+ PDF Chat	Piatetski-Shapiro sequences	2012	Roger C. Baker William D. Banks Jörg Brüdern Igor E. Shparlinski Andreas Weingartner	3
+ PDF Chat	On Sarnak’s conjecture and Veech’s question for interval exchanges	2018	Sébastien Ferenczi Christian Mauduit	3
+	Probabilistic Diophantine Approximation	2014	József Beck	3
+ PDF Chat	The joint distribution of q-additive functions	2001	Michael Drmota	3
+	Generalized Thue-Morse sequences of squares	2011	Michael Drmota Johannes F. Morgenbesser	3
+ PDF Chat	Pseudorandomness of the Ostrowski sum-of-digits function	2018	Lukas Spiegelhofer	3
+	The on-line encyclopedia of integer sequences	2018	N. J. A. Sloane	3
+ PDF Chat	Möbius disjointness for homogeneous dynamics	2018	Ryan Peckner	3