Titus Hilberdink

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All published works

Action	Title	Year	Authors
+	Correction to: “Ω-results for Beurling's zeta function and lower bounds for the generalised Dirichlet divisor problem” [J. Number Theory 130 (2010) 707–715]	2024	Titus Hilberdink
+	A Mean Value Theorem for General Dirichlet Series	2024	Frederik Broucke Titus Hilberdink
+ PDF Chat	A Mean Value Theorem for general Dirichlet Series	2024	Frederik Broucke Titus Hilberdink
+ PDF Chat	Classifying Functions via growth rates of repeated iterations	2024	Titus Hilberdink
+	Spectral asymptotics for a family of arithmetical matrices and connection to Beurling primes	2024	Titus Hilberdink Alexander Pushnitski
+	Classifying functions via growth rates of repeated iterations	2024	Titus Hilberdink
+	Spectral asymptotics for a family of LCM matrices	2023	Titus Hilberdink Alexander Pushnitski
+ PDF Chat	${\varOmega }$-result for the remainder term in Beurling’s prime number theorem for well-behaved integers	2023	Titus Hilberdink Laima Kaziulytė
+ PDF Chat	Complete monotonicity of solutions of the Abel equation $F(e^x)=F(x)+1$	2023	Titus Hilberdink
+ PDF Chat	Inequalities for the Riemann zeta function on the positive reals	2023	Titus Hilberdink
+	Restricted Partitions: The Polynomial Case	2022	В. Л. Чернышев Titus Hilberdink D. S. Minenkov В. Е. Назайкинский
+ PDF Chat	Ограниченные разбиения: полиномиальный случай	2022	D. S. Minenkov В. Е. Назайкинский Titus Hilberdink В. Л. Чернышев
+	How often is d(n) a power of a given integer?	2021	Titus Hilberdink
+	Asymptotics of compound means	2021	Titus Hilberdink
+	Spectral asymptotics for a family of LCM matrices	2021	Titus Hilberdink Alexander Pushnitski
+	Asymptotics of the Number of Restricted Partitions	2020	В. Л. Чернышев Titus Hilberdink В. Е. Назайкинский
+ PDF Chat	Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces	2020	Aamena Al-Qabani Titus Hilberdink Jani A. Virtanen
+ PDF Chat	ASYMPTOTICS OF ENTIRE FUNCTIONS AND A PROBLEM OF HAYMAN	2020	Titus Hilberdink
+ PDF Chat	The average order of the Möbius function for Beurling primes	2019	Ammar Ali Neamah Titus Hilberdink
+ PDF Chat	On certain sums concerning the gcd’s and lcm’s of k positive integers	2019	Titus Hilberdink Florian Luca László Tóth
+	The average order of the M\"{o}bius function for Beurling primes	2019	Ammar Ali Neamah Titus Hilberdink
+	G-prime systems and the average order of the M\"{o}bius function	2019	Ammar Ali Neamah Titus Hilberdink
+	The average order of the Möbius function for Beurling primes	2019	Ammar Ali Neamah Titus Hilberdink
+	On the zeros of sum from n=1 to 00 of lambda_P(n)/n^s	2018	Titus Hilberdink Éric Saïas
+ PDF Chat	Power moments and value distribution of functions	2018	Titus Hilberdink
+ PDF Chat	Quasi Kronecker products and a determinant formula	2017	Titus Hilberdink
+	Matrices with multiplicative entries are tensor products	2017	Titus Hilberdink
+	On the average value of the least common multiple of k positive integers	2016	Titus Hilberdink László Tóth
+ PDF Chat	Singular values of multiplicative Toeplitz matrices	2016	Titus Hilberdink
+	On the average value of the least common multiple of $k$ positive integers	2016	Titus Hilberdink László Tóth
+	Gál-type GCD sums beyond the critical line	2016	Andriy Bondarenko Titus Hilberdink Kristian Seip
+	On the average value of the least common multiple of $k$ positive integers	2016	Titus Hilberdink László Tóth
+ PDF Chat	Four Faces of Number Theory	2015	Kathrin Bringmann Yann Bugeaud Titus Hilberdink J. Sander
+	An optimization problem concerning multiplicative functions	2015	Titus Hilberdink
+ PDF Chat	An example in Beurling's theory of generalised primes	2015	Faez Ali AL-Maamori Titus Hilberdink
+	The group of squarefree integers	2014	Titus Hilberdink
+	MAXIMAL ORDER OF A CLASS	2014	Titus Hilberdink
+	Maximal order of a class of multiplicative functions	2014	Titus Hilberdink
+ PDF Chat	``Quasi''-norm of an arithmetical convolution operator and the order of the Riemann zeta function	2013	Titus Hilberdink
+ PDF Chat	Generalised prime systems with periodic integer counting function	2012	Titus Hilberdink
+ PDF Chat	Flows of Mellin transforms with periodic integrator	2011	Titus Hilberdink
+	Ω-results for Beurling's zeta function and lower bounds for the generalised Dirichlet divisor problem	2009	Titus Hilberdink
+ PDF Chat	An arithmetical mapping and applications to Ω-results for the Riemann zeta function	2009	Titus Hilberdink
+ PDF Chat	Asymptotic expansions for Taylor coefficients of the composition of two functions	2009	Titus Hilberdink
+	Asymptotic expansions for Taylor coe-cients of the composition of two functions 1	2009	Titus Hilberdink
+	On the zeros of a class of arithmetical entire functions	2008	Titus Hilberdink
+	Orders of Growth of Real Functions	2007	Titus Hilberdink
+ PDF Chat	Beurling Zeta Functions, Generalised Primes, and Fractal Membranes	2006	Titus Hilberdink Michel L. Lapidus
+	A lower bound for the Lindelöf function associated to generalized integers	2006	Titus Hilberdink
+ PDF Chat	Determinants of multiplicative Toeplitz matrices	2006	Titus Hilberdink
+	Well-behaved Beurling primes and integers	2004	Titus Hilberdink
+ PDF Chat	Some connections between Bernoulli convolutions and analytic number theory	2004	Titus Hilberdink
+	Beurling Zeta Functions, Generalised Primes, and Fractal Membranes	2004	Titus Hilberdink Michel L. Lapidus
+	On a Problem on Generalised Fibonacci Cubes	2003	Titus Hilberdink Carol Whitehead Norma Zagaglia Salvi
+	A Tauberian theorem for power series	2001	Titus Hilberdink
+	A functional equation for the cotangent on the open unit interval	2001	Titus Hilberdink
+ PDF Chat	A matrix-valued Choquet–Deny theorem	2000	Cho-Ho Chu Titus Hilberdink John Howroyd
+	An Integral Formula for Taylor Coefficients of a Class of Analytic Functions	1999	Titus Hilberdink
+	The convolution equation of Choquet and Deny on nilpotent groups	1996	Cho-Ho Chu Titus Hilberdink
+	ON THE TAYLOR COEFFICIENTS OF THE COMPOSITION OF TWO ANALYTIC FUNCTIONS	1996	Titus Hilberdink

Common Coauthors

Coauthor	Papers Together
László Tóth	4
Ammar Ali Neamah	4
В. Е. Назайкинский	3
Alexander Pushnitski	3
В. Л. Чернышев	3
Cho-Ho Chu	2
D. S. Minenkov	2
Frederik Broucke	2
Michel L. Lapidus	2
Kristian Seip	1
Kathrin Bringmann	1
Yann Bugeaud	1
Carol Whitehead	1
Aamena Al-Qabani	1
Jani A. Virtanen	1
Florian Luca	1
Faez Ali AL-Maamori	1
Éric Saïas	1
Norma Zagaglia Salvi	1
John Howroyd	1
Andriy Bondarenko	1
Laima Kaziulytė	1
J. Sander	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	12
+ PDF Chat	Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. I: Mémoire dédié à M. Holmgren	1937	Arne Beurling	10
+	Abstract Analytic Number Theory	1975	John Knopfmacher	8
+ PDF Chat	Introduction to Analytic Number Theory	1976	Tom M. Apostol	6
+ PDF Chat	An arithmetical mapping and applications to Ω-results for the Riemann zeta function	2009	Titus Hilberdink	6
+	Well-behaved Beurling primes and integers	2004	Titus Hilberdink	5
+	Asymptotic Enumeration Methods	1995	Andrew Odlyzko	5
+ PDF Chat	Singularity Analysis of Generating Functions	1990	Philippe Flajolet Andrew Odlyzko	5
+ PDF Chat	Determinants of multiplicative Toeplitz matrices	2006	Titus Hilberdink	5
+ PDF Chat	Beurling Zeta Functions, Generalised Primes, and Fractal Membranes	2006	Titus Hilberdink Michel L. Lapidus	5
+	Zur Theorie der Dirichletschen Reihen	1938	Otto Toeplitz	5
+	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.	5
+	Exponential Sums and Lattice Points III	2003	M. N. Huxley	4
+ PDF Chat	Extreme values of zeta and L-functions	2008	K. Soundararajan	4
+	Diophantine Approximations and Hilbert's Space	1944	Aurel Wintner	4
+	A Survey of Gcd-Sum Functions	2010	László Tóth	4
+	A lower bound for the Lindelöf function associated to generalized integers	2006	Titus Hilberdink	4
+ PDF Chat	A Renewal Theorem of Blackwell Type	1984	Paul Embrechts Makoto Maejima Edward Omey	4
+ PDF Chat	Beurling primes with large oscillation	2005	Harold G. Diamond Hugh L. Montgomery Ulrike M. A. Vorhauer	4
+	Classes of Linear Operators	1990	Israel Gohberg Seymour Goldberg M.A. Kaashoek	3
+	Weylsche Exponentialsummen in der neueren Zahlentheorie	1963	Arnold Walfisz	3
+	The distribution of the number of summands in the partitions of a positive integer	1941	P. Erdős Joseph Lehner	3
+	Regular Variation	1987	Ν. H. Bingham Charles M. Goldie J. L. Teugels	3
+ PDF Chat	Some connections between Bernoulli convolutions and analytic number theory	2004	Titus Hilberdink	3
+	The Difference between Consecutive Prime Numbers	1938	R. A. Rankin	3
+	ON THE TAYLOR COEFFICIENTS OF THE COMPOSITION OF TWO ANALYTIC FUNCTIONS	1996	Titus Hilberdink	3
+ PDF Chat	Note on some greatest common divisor matrices	1998	Peter Lindqvist Kristian Seip	3
+	Fonctions complètement multiplicatives de somme nulle	2017	Jean‐Pierre Kahane Éric Saïas	3
+ PDF Chat	A generalization of Halász's theorem to Beurling's generalized integers and its application	1987	Wen-Bin Zhang	3
+	Asymptotic distribution of Beurling's generalized integers	1970	Harold G. Diamond	3
+	On the lcm-sum function	2013	Soichi Ikeda Kaneaki Matsuoka	3
+	Multiplicative Arithmetic Functions of Several Variables: A Survey	2014	László Tóth	3
+	Iterative Functional Equations	1990	Marek Kuczma Bogdan Choczewski Roman Ger	3
+ PDF Chat	``Quasi''-norm of an arithmetical convolution operator and the order of the Riemann zeta function	2013	Titus Hilberdink	3
+	Beurling primes with RH and Beurling primes with large oscillation	2006	Wen-Bin Zhang	3
+	Mean Values of Generalized gcd-sum and lcm-sum Functions	2007	Olivier Bordellès Allee de la Combe	3
+	Extreme values of the Riemann zeta function	1977	Hugh L. Montgomery	3
+	The group of squarefree integers	2014	Titus Hilberdink	3
+	Sums Involving Common Divisors	1986	Tony Dyer Glyn Harman	3
+ PDF Chat	GCD sums from Poisson integrals and systems of dilated functions	2015	Christoph Aistleitner I. Berkès Kristian Seip	3
+	The Riemann Zeta-Function	1992	A. A. Karatsuba Сергей Воронин	2
+	An extremal property of the M�bius function	1989	Alberto Perelli Umberto Zannier	2
+	Introduction to Analytic and Probabilistic Number Theory	2015	Gérald Tenenbaum	2
+ PDF Chat	Fractal drum, inverse spectral problems for elliptic operators and a partial resolution of the Weyl-Berry conjecture	1991	Michel L. Lapidus	2
+	On the probability distribution of the gcd and lcm of $r$-tuples of integers	2013	José Fernández Pablo Fernández	2
+	Orders of Growth of Real Functions	2007	Titus Hilberdink	2
+	On the Gcd-Sum Function	2008	Yoshio Tanigawa Wenguang Zhai	2
+ PDF Chat	Étude moyenne di plus grand commun diviseur de deux nombres	1885	Ernest Cesàro	2
+	Singularity analysis and asymptotics of Bernoulli sums	1999	Philippe Flajolet	2
+ PDF Chat	On the distribution of the greatest common divisor	2004	Persi Diaconis P. Erdős	2