An alternative development of analytic number theory and applications

Project Information

1stProposal

Grant agreement ID: 670239

DOI

10.3030/670239

Project closed

EC signature date 20 July 2015

Start date 1 August 2015

End date 31 July 2020

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost

€ 2 011 742,00

EU contribution

€ 2 011 742,00

Coordinated by

UNIVERSITY COLLEGE LONDON
United Kingdom

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (14)

Planck-Scale Mass Equidistribution of Toral Laplace Eigenfunctions

Author(s): Granville, A.; Wigman, I.
Published in: Communications in Mathematical Physics , 355 (2) pp. 767-802. (2017), Issue 1, 2017, ISSN 0010-3616
Publisher: Springer Verlag

A more intuitive proof of a sharp version of Halász’s theorem

Author(s): Andrew Granville, Adam J. Harper, K. Soundararajan
Published in: Proceedings of the American Mathematical Society, 2018, Page(s) 1, ISSN 0002-9939
Publisher: American Mathematical Society
DOI: 10.1090/proc/14095

SMOOTH-SUPPORTED MULTIPLICATIVE FUNCTIONS IN ARITHMETIC PROGRESSIONS BEYOND THE -BARRIER

Author(s): Sary Drappeau, Andrew Granville, Xuancheng Shao
Published in: Mathematika, Issue 63/03, 2017, Page(s) 895-918, ISSN 0025-5793
Publisher: University College London, Department of Mathematics
DOI: 10.1112/S0025579317000225

Large character sums: Burgess's theorem and zeros of $L$-functions

Author(s): Andrew Granville, Kannan Soundararajan
Published in: Journal of the European Mathematical Society, Issue 20/1, 2018, Page(s) 1-14, ISSN 1435-9855
Publisher: European Mathematical Society Publishing House
DOI: 10.4171/JEMS/757

Beyond the LSD method for the partial sums of multiplicative functions

Author(s): Granville, Andrew; Koukoulopoulos, Dimitris
Published in: Ramanujan Journal, Issue 2, 2019, ISSN 1382-4090
Publisher: Kluwer Academic Publishers

A new proof of Hal\'asz's Theorem, and its consequences

Author(s): Granville, Andrew; Harper, Adam J; Soundararajan, K.
Published in: Compositio Mathematica, Issue 5, 2019, ISSN 0010-437X
Publisher: London Mathematical Society

Spins of prime ideals and the negative Pell equation

Author(s): P. Koymans, D. Z. Milovic
Published in: Compositio Mathematica, Issue 155/1, 2019, Page(s) 100-125, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/S0010437X18007601

Motohashi’s fourth moment identity for non-archimedean test functions and applications

Author(s): Valentin Blomer, Peter Humphries, Rizwanur Khan, Micah B. Milinovich
Published in: Compositio Mathematica, Issue 156/5, 2020, Page(s) 1004-1038, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/S0010437X20007101

Standard zero-free regions for Rankin–Selberg L-functions via sieve theory

Author(s): Peter Humphries, Farrell Brumley
Published in: Mathematische Zeitschrift, Issue 292/3-4, 2019, Page(s) 1105-1122, ISSN 0025-5874
Publisher: Springer Verlag
DOI: 10.1007/s00209-018-2136-8

A note on the maximum of the Riemann zeta function on the 1-line

Author(s): Heap, Winston
Published in: Bulletin LMS, Issue 5, 2020, ISSN 1469-2120
Publisher: London Mathematical Society
DOI: 10.1112/blms.12382

SHARP UPPER BOUNDS FOR FRACTIONAL MOMENTS OF THE RIEMANN ZETA FUNCTION

Author(s): Winston Heap, Maksym Radziwiłł, K Soundararajan
Published in: The Quarterly Journal of Mathematics, Issue 70/4, 2019, Page(s) 1387-1396, ISSN 0033-5606
Publisher: Oxford University Press
DOI: 10.1093/qmathj/haz027

A new proof of Halász’s theorem, and its consequences

Author(s): Andrew Granville, Adam J. Harper, K. Soundararajan
Published in: Compositio Mathematica, Issue 155/1, 2019, Page(s) 126-163, ISSN 0010-437X
Publisher: London Mathematical Society
DOI: 10.1112/S0010437X18007522

WHEN DOES THE BOMBIERI–VINOGRADOV THEOREM HOLD FOR A GIVEN MULTIPLICATIVE FUNCTION?

Author(s): ANDREW GRANVILLE, XUANCHENG SHAO
Published in: Forum of Mathematics, Sigma, Issue 6, 2018, ISSN 2050-5094
Publisher: Cambridge
DOI: 10.1017/fms.2018.14

Bombieri-Vinogradov for multiplicative functions, and beyond the x1/2-barrier

Author(s): Andrew Granville, Xuancheng Shao
Published in: Advances in Mathematics, Issue 350, 2019, Page(s) 304-358, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2019.04.055