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

By Titus Hilberdink. 2009

63 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/62068c90a0e66c1c4cc9d1026a4a9b65446932b7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Kristian Seip
2. Christoph Aistleitner
3. Marc Munsch
4. Kamalakshya Mahatab
5. Gerald Tenenbaum
6. Régis de la Bretèche
7. Andriy V. Bondarenko

In Discrete Mathematics and Combinatorics

1. Kristian Seip
2. Marc Munsch
3. Kamalakshya Mahatab
4. Gerald Tenenbaum
5. Christoph Aistleitner
6. Régis de la Bretèche
7. Andriy V. Bondarenko

In Geometry and Topology

1. Marc Munsch
2. Gerald Tenenbaum
3. Kristian Seip
4. Christoph Aistleitner
5. Régis de la Bretèche
6. Kamalakshya Mahatab
7. Ulrich Derenthal

Citations in the corpus

• Extreme values of the Riemann zeta function on the 1-line (2017, methodology): “This method can be traced back to a paper of Voronin [11], but it was developed independently and significantly refined by Hilberdink and by Soundararajan [9] about 10 The first and third author are supported by the Austrian Science Fund (FWF), project Y-901.”
• GCD sums from Poisson integrals and systems of dilated functions (2012, background): “This can also be seen from Hilberdink’s computation of the spectral norm of the GCD matrix ((gcd(m,n))(2)/(m,n))m,n=1 (see [26]).”
• Lower bounds for the maximum of the Riemann zeta function along vertical lines (2014, methodology): “respectively (see [12] for the first result, and [1,15] for the second).”
• Sommes de Gál et applications (2018, background): “Leur approche repose sur la méthode de résonance, développée indépendamment, dans ce cadre, par Soundararajan [23] et Hilberdink [14].”