Staff Profile:Dr Titus Hilberdink

Name:

Dr Titus Hilberdink

Job Title:

Lecturer

Responsibilities:

• Part 1 module convenor
• Enrolement and change of Parts 2, 3 and 4
• Departmental Examinations Officer

Areas of Interest:

• Analytic number theory
• Tauberian theory
• Functional equations

Research groups / Centres:

Publications:

Y

Jump to: 2012 | 2011 | 2010 | 2009 | 2008 | 2007 | 2006 | 2005 | 2004 | 2003

Number of items: 13.

2012

• Hilberdink, T. (2012) Generalised prime systems with periodic integer counting function. Acta Arithmetica. ISSN 1730-6264 (In Press)

2011

• Hilberdink, T. (2011) Flows of Mellin transforms with periodic integrator. Journal de Theorie des Nombres de Bordeaux, 23. pp. 455-469. ISSN 1246-7405

2010

• Hilberdink, T. W. (2010) Ω-results for Beurling's zeta function and lower bounds for the generalised Dirichlet divisor problem. Journal of Number Theory, 130 (3). pp. 707-715. ISSN 0022-314X doi: 10.1016/j.jnt.2009.09.008

2009

• Hilberdink, T. (2009) Asymptotic expansions for Taylor coefficients of the composition of two functions. Asymptotic Analysis, 63 (3). pp. 125-142. ISSN 1875-8576 doi: 10.3233/ASY-2008-0926
• Hilberdink, T. (2009) An arithmetical mapping and applications to Ω-results for the Riemann zeta function. Acta Arithmetica, 139. pp. 341-367. ISSN 1730-6264 doi: 10.4064/aa139-4-3

2008

• Hilberdink, T. (2008) On the zeros of a class of arithmetical entire functions. Acta Arithmetica, 131 (1). pp. 69-85. ISSN 0065-1036

2007

• Hilberdink, T. W. (2007) Orders of growth of real functions. Real Analysis Exchange, 32 (2). pp. 359-390.
• Hilberdink, T. (2007) A lower bound for the Lindelöf function associated to generalized integers. Journal of Number Theory, 122 (2). pp. 336-341. ISSN 0022-314x doi: 10.1016/j.jnt.2006.05.007

2006

• Hilberdink, T. W. and Lapidus, M. L. (2006) Beurling zeta functions, generalised primes, and fractal membranes. Acta Applicandae Mathematicae, 94 (1). pp. 21-48. ISSN 0167-8019
• Hilberdink, T. W. (2006) Determinants of Multiplicative Toeplitz Matrices. Acta Arithmetica, 125. pp. 265-284.

2005

• Hilberdink, T. W. (2005) Well-behaved Beurling primes and integers. Journal Of Number Theory, 112 (2). pp. 332-344.

2004

• Hilberdink, T. (2004) Some connections between Bernoulli convolutions and analytic number theory. In: Lapidus, M. L. and van Frankenhuijsen, M. (eds.) Fractal geometry and applications: a jubilee of Benoît Mandelbrot. Proceedings of Symposia in Pure Mathematics (72). American Mathematical Society, San Diego, CA, pp. 233-271. ISBN 082186374

2003

• Hilberdink, T.W., Whitehead, C. and Salvi, N. (2003) On a Problem on Generalised Fibonacci Cubes. Ars Combinatoria, 68. pp. 39-47.

This list was generated on Sun May 27 14:05:54 2012 BST.

 

PDFs of some recent papers:

Generalised prime systems with periodic integer counting function

Flows of Mellin transforms with periodic integrator

Determinants of multiplicative Toeplitz matrices

Asymptotic expansions for Taylor coefficients of the composition of two functions

Omega-results for Beurling's zeta function and lower bounds for the generalised Dirichlet divisor problem

A lower bound for the Lindelof function associated to generalised integers

An arithmetical mapping and applications to Omega-results for the Riemann zeta function

Orders of growth of real functions