Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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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: Project completed

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.

Information in the final report

  • Publication in academic press/journals (7)
  • Book publications / chapters in book publications (1)
  1. Forbidden conductors and sequences of ± 1s
    Authors:
    Maciej Radziejewski
    Academic press:
    Funct. Approx. Comment. Math. (rok: 2024, tom: 71, strony: 127-136), Wydawca: Wydawnictwo Naukowe UAM
    Status:
    Published
    DOI:
    10.7169/facm/2121 - link to the publication
  2. On the invariants of L-functions of degree 2, I: twisted degree and internal shift
    Authors:
    Jerzy Kaczorowski, Alberto Perelli
    Academic press:
    Int. J. Number Theory (rok: 2024, tom: 20, strony: 2529–2541), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S1793042124501215 - link to the publication
  3. Nonlinear twists and moments of L-functions.
    Authors:
    Jerzy Kaczorowski, Alberto Pirelli
    Academic press:
    Acta Arithmetica (rok: 2024, tom: 214, strony: 153-171), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/aa230329-3-6 - link to the publication
  4. 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: 46038), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2023.06.005 - link to the publication
  5. L -functions of degree 2 and conductor 1: underlying ideas and a generalisation
    Authors:
    Jerzy Kaczorowski, Alberto Pirelli
    Academic press:
    Functiones et Approximatio, Commentarii Mathematici (rok: 2024, tom: 71, strony: 69-86), Wydawca: Wydawnictwo Naukowe UAM
    Status:
    Published
    DOI:
    10.7169/facm/2091 - link to the publication
  6. 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: 46043), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/aa220721-30-9 - link to the publication
  7. Notes on universality in short intervals and exponential shifts
    Authors:
    Johan Andersson, Ramūnas Garunkštis, Roma Kačinskaitė, Keita Nakai, Łukasz Pańkowski, Athanasios Sourmelidis, Rasa Steuding, Jörn Steuding, Saeree Wananiyakul
    Academic press:
    Lithuanian Mathematical Journal (rok: 2024, tom: 64, strony: 125-137), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10986-024-09631-5 - 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

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