Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Value-distribution of zeta- and L-functions

2016/23/D/ST1/01149

Keywords:

L-functions extreme values universality zero distribution diophantine approximation

Descriptors:

  • ST1_3: Number theory

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Łukasz Pańkowski 

Number of co-investigators in the project: 1

Call: SONATA 12 - announced on 2016-09-15

Amount awarded: 129 850 PLN

Project start date (Y-m-d): 2017-10-02

Project end date (Y-m-d): 2021-10-01

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Wydajny komputer (7 545 PLN)
  2. Tablet z rysikiem (5 173 PLN)
  3. Zestaw komputerowy (7 000 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. Note on the number of divisors of reducible quadratic polynomials
    Authors:
    Adrian W. Dudek, Łukasz Pańkowski, Victor Scharaschkin
    Academic press:
    Bulletin of the Australian Mathematical Society (rok: 2019, tom: 99, strony: 45300), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0004972718000734 - link to the publication
  2. Joint value-distribution of shifts of the Riemann zeta-function
    Authors:
    Łukasz Pańkowski
    Academic press:
    Results in Mathematics (rok: 2022, ), Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s00025-022-01609-4 - link to the publication
  3. Joint Extreme values of L-functions
    Authors:
    K. Mahatab, Ł. Pańkowski, A. Vatwani
    Academic press:
    Mathematische Zeitschrift (), Wydawca: Springer
    Status:
    Submitted
  4. On mixed joint discrete universality for a class of zeta-functions: one more case
    Authors:
    Roma Kacinskaite, Kohji Matsumoto and Łukasz Pańkowski
    Academic press:
    Taiwanese Journal of Mathematics (), Wydawca: Mathematical Society of the Republic of China
    Status:
    Submitted
  5. Zeros of L(s) + L(2s) + ··· + L(Ns) in the region of absolute convergence
    Authors:
    Łukasz Pańkowski, Mattia Righetti
    Academic press:
    Journal of Number Theory (), Wydawca: Elsevier
    Status:
    Submitted