Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Structure of the Selberg class and arithmetic applications of L-functions.

2021/41/B/ST1/00241

Keywords:

Selberg class twists of L-functions converse theorems value distribution of L-functions quantitative theory of factorization.

Descriptors:

  • ST1_003:

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):

prof. Jerzy Sławomir Kaczorowski 

Number of co-investigators in the project: 4

Call: OPUS 21 - announced on 2021-03-15

Amount awarded: 607 255 PLN

Project start date (Y-m-d): 2022-01-18

Project end date (Y-m-d): 2026-01-17

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

Project status: Pending project

Project description

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

Information in the final report

  • Publication in academic press/journals (4)
  • Book publications / chapters in book publications (2)
  1. Twists by Dirichlet characters and polynomial Euler products of L-functions
    Authors:
    J. Kaczorowski, A. Perelli
    Academic press:
    Journal of Number Theory (rok: 2023, tom: 253, strony: 45673), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2023.06.005 - link to the publication
  2. Twists by Dirichlet characters and polynomial Euler products of L-functions
    Authors:
    J. Kaczorowski, A. Perelli
    Academic press:
    Journal of Number Theory (rok: 2023, tom: 253, strony: 45673), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2023.06.005 - link to the publication
  3. Forbidden conductors of L-functions and continued fractions of particular form
    Authors:
    J. Kaczorowski, A. Perelli, M. Radziejewski
    Academic press:
    Acta Arithmetica (rok: 2023, tom: 210, strony: 45678), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/aa220721-30-9 - link to the publication
  4. Forbidden conductors of L-functions and continued fractions of particular form
    Authors:
    J. Kaczorowski, A. Perelli, M. Radziejewski
    Academic press:
    Acta Arithmetica (rok: 2023, tom: -, strony: -), Wydawca: Instytut Matematyczny PAN
    Status:
    Accepted for publication
    DOI:
    10.4064/aa220721-30-9 - link to the publication
  1. Twists by Dirichlet characters and polynomial Euler product of L-functions, II
    Authors:
    J. Kaczorowski, A. Perelli
    Book:
    Number Theory in Memory of Eduard Wirsing (rok: 2023, tom: -, strony: -), Wydawca: Springer Nature Switzerland AG
    Status:
    Published
    DOI:
    10.1007/978-3-031-31617-3_13 - link to the publication
  2. Twists by Dirichlet characters and polynomial Euler product of L-functions, II
    Authors:
    J. Kaczorowski, A. Perelli
    Book:
    Number Theory in Memory of Eduard Wirsing (rok: 2023, tom: -, strony: -), Wydawca: Springer Nature Switzerland AG
    Status:
    Published
    DOI:
    10.1007/978-3-031-31617-3_13 - link to the publication