Jürgen Spilker

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All published works

Action	Title	Year	Authors
+ PDF Chat	Period patterns, entry points, and orders in the Lucas sequences: theory and applications	2024	Morgan Fiebig Aba Mbirika Jürgen Spilker
+	Pell and associated Pell braid sequences as GCDs of sums of $k$ consecutive Pell, balancing, and related numbers	2023	Aba Mbirika Janeè Schrader Jürgen Spilker
+	Braided Gibonacci Sequences on Residue Classes	2023	Jürgen Spilker Thang Luu Ba
+	GCD of Sums of k Consecutive Squares of Generalized Fibonacci Numbers	2022	Aba Mbirika Jürgen Spilker
+	GCD of sums of $k$ consecutive squares of generalized Fibonacci numbers	2022	Aba Mbirika Jürgen Spilker
+	The Lucas property for linear recurrences of second order	2018	Carsten Elsner Jürgen Spilker
+ PDF Chat	Up-down coefficients for permutations	2013	Vladimir Shevelev Jürgen Spilker
+	Harmonische Partitionen: Partitionen mit gegebener Summe der Kehrwerte der Teile	2012	Günter Köhler Jürgen Spilker
+	The Greatest Common Divisor of Two Recursive Functions	2004	Jan‐Christoph Schlage‐Puchta Jürgen Spilker
+	Uniformly-almost-even Functions with prescribed Values, IV. Application of Gelfand’s Theory	2004	Jan‐Christoph Schlage‐Puchta Wolfgang Schwarz Jürgen Spilker
+	Uniformly-almost-even Functions with prescribed Values, IV. Application of Gelfand′s Theory	2004	Jan‐Christoph Schlage‐Puchta Wolfgang Schwarz Jürgen Spilker
+	Uniformly-almost-even Functions with prescribed Values. III	2003	Jan‐Christoph Schlage‐Puchta Wolfgang Schwarz Jürgen Spilker
+	Altes und Neues zur Quersumme	2002	Jan-Christoph Puchta Jürgen Spilker
+	None	2002	Jan-Christoph Puchta Jürgen Spilker
+	A REMARK ON SOME SPECIAL ARITHMETICAL FUNCTIONS	1997	Wolfgang Schwarz Jürgen Spilker
+	Initial Values for Homogeneous Linear Recurrences of Second Order	1997	Jürgen Spilker
+	The Theorems of Elliott and Daboussi	1994	Wolfgang Schwarz Jürgen Spilker
+	Related Arithmetical Functions	1994	Wolfgang Schwarz Jürgen Spilker
+	Ramanujan Expansions of Functions in ℬ<sup>u</sup>	1994	Wolfgang Schwarz Jürgen Spilker
+	Almost-Periodic and Almost-Even Arithmetical Functions	1994	Wolfgang Schwarz Jürgen Spilker
+	Uniformly Almost-Periodic Arithmetical Functions	1994	Wolfgang Schwarz Jürgen Spilker
+	Arithmetical Functions	1994	Wolfgang Schwarz Jürgen Spilker
+	Arithmetical functions : an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties	1994	Wolfgang Schwarz Jürgen Spilker
+	Still another proof of Parseval's equation for almost-even arithmetical functions	1988	Adolf Hildebrand Wolfgang Schwarz Jürgen Spilker
+	A VARIANT OF PROOF OF DABOUSSI'S THEOREM ON THE CHARACTERIZATION OF MULTIPLICATIVE FUNCTIONS WITH NON-VOID FOURIER-BOHR-SPECTRUM	1986	Wolfgang Schwarz Jürgen Spilker
+	EINE BEMERKUNG ZUR CHARAKTERISIERUNG DER FAST-PERIODISCHEN MULTIPLIΚΑΤΙVEN ZAHLENTHEORETISCHEN FUNKTIONEN MIT VON NULL VERSCHIEDENEM MITTELWERT	1983	Wolfgang Schwarz Jürgen Spilker

Common Coauthors

Coauthor	Papers Together
Wolfgang Schwarz	10
Wolfgang Schwarz	4
Aba Mbirika	4
Jan‐Christoph Schlage‐Puchta	4
Jan-Christoph Puchta	2
Vladimir Shevelev	1
Carsten Elsner	1
Morgan Fiebig	1
Janeè Schrader	1
Adolf Hildebrand	1
Thang Luu Ba	1
Günter Köhler	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Unsolved Problems in Number Theory	1994	Richard K. Guy	2
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	2
+	An Introduction to the Theory of Numbers. By G. H. Hardy and E. M. Wright. 2nd edition. Pp. xvi, 407 25s. 1945. (Oxford)	1946	T. A. A. B.	2
+	Alternating permutations and symmetric functions	2006	Richard P. Stanley	1
+	The Distribution of Prime Numbers in Sequences of the Form [<i>f</i> (<i>n</i> )]	1977	Dieter Leitmann	1
+	The number of permutations with a given signature, and the expectations of their elements	2001	George G. Szpiro	1
+	Number of Permutations with Prescribed Up-Down Structure as a Function of Two Variables	2012	Vladimir Shevelev	1
+	Enumerating pairs of permutations with the same up-down form	1985	C. L. Mallows L. A. Shepp	1
+	Uniform-fast-gerade Funktionen mit vorgegebenen Werten, II	2003	Wolfgang Schwarz J. Spilker	1
+	Enumeration of permutations with prescribed up-down and inversion sequences	1976	H. O. Foulkes	1
+	On Multiplicative Arithmetical Functions whose Modulus does not Exceed One	1982	Hédi Daboussi Hubert Delange	1
+ PDF Chat	Periodic de Bruijn triangles: exact and asymptotic results	2005	Boris Shapiro Michael Shapiro Alek Vainshtein	1
+	On a Theorem of J.-L. Mauclaire on Limit-Periodic Sequences	1985	Hubert Delange	1
+	Fourier analysis of arithmetical functions	1976	John Knopfmacher	1
+	A New Generalization of Fibonacci Sequence & Extended Binet's Formula	2009	Marcia Edson Omer Yayenie	1
+	Die Fastperiodizität der Watson-Funktion	2000	J. Spilker	1
+ PDF Chat	An introduction to the theory of numbers	1960	G. H. Hardy	1
+ PDF Chat	A theorem on partitions	1963	Ronald Graham	1
+	Fibonacci and Lucas Numbers With Applications	2018	Thomas Koshy	1
+	On arithmetic and asymptotic properties of up–down numbers	2006	Francis Brown Thomas Fink Karen Willbrand	1
+	Fibonacci Series Modulo <i>m</i>	1960	D. D. Wall	1
+	On Kellogg's Diophantine Problem	1922	D. R. Curtiss	1
+ PDF Chat	On the Number of Primitive Lattice Points in a Parallelogram	1953	T. Estermann	1
+	Einführung in die klassische und moderne Zahlentheorie	1974	Hans Schubart	1
+	Fibonacci and Lucas Numbers with Applications	2001	Thomas Koshy	1
+	Fibonacci and Lucas Sums by Matrix Methods	2010	Bahar Demirtürk	1
+	An example for Gelfand's theory of commutative Banach algebras	1991	Wolfgang Schwarz Thomas Maxsein Paul Smith	1
+ PDF Chat	On Integers <i>n</i> Relatively Prime to [<i>αn</i>]	1953	G. L. Watson	1
+	Elementare Zahlentheorie	1987	Reinhold Remmert Peter Ullrich	1
+ PDF Chat	Relations between Generalized Bi-Periodic Fibonacci and Lucas Sequences	2020	Younseok Choo	1
+	Some relations involving the sums of Fibonacci numbers	2008	Ahmet Tekcan Arzu Özkoç Betül Gezer Osman Bızım	1
+	Some Relations on Lucas Numbers and their Sums	2007	Ahmet Tekcan Betül Gezer Osman Bızım	1
+	GCD of sums of $k$ consecutive Fibonacci, Lucas, and generalized Fibonacci numbers	2021	Dan Guyer Aba Mbirika	1
+	Proofs that Really Count	2003	Arthur T. Benjamin Jennifer J. Quinn	1
+	Unsolved Problems in Number Theory	1981	Richard K. Guy	1
+	The Sums of The Consecutive Fibonacci Numbers	2018	Dmitriy Shtefan Irina Dobrovolska	1
+	Sums Involving Fibonacci Numbers	1969	Muthulakshmi R. Iyer	1
+ PDF Chat	Über die Entwicklung multiplikativer Funktionen nach Ramanujan-Summen	1980	Friedemann Tuttas	1
+ PDF Chat	Über die Ramanujan-Entwicklung multiplikativer Funktionen	1975	Wolfgang Schwarz	1
+ PDF Chat	Ramanujan expansions of multiplicative functions	1983	Richard Warlimont	1
+	Handbuch der Lehre von der Verteilung der Primzahlen	1911	Edmund Landau	1
+	Real and Complex Analysis.	1987	G. A. Garreau Walter Rudin	1