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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Analytic methds in number theory

2017/25/B/ST1/00208

Keywords:

L-functions Selberg class quantitative theory of factorization cryptology

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):

prof. Jerzy Kaczorowski 

Number of co-investigators in the project: 4

Call: OPUS 13 - announced on 2017-03-15

Amount awarded: 360 000 PLN

Project start date (Y-m-d): 2018-01-03

Project end date (Y-m-d): 2021-07-02

Project duration:: 42 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. Zestaw komputerowy (8 000 PLN)
  2. Tablet z rysikiem i etui 1 szt. (6 531 PLN)
  3. Tablet z rysikiem 1 szt. (5 639 PLN)

Information in the final report

  • Publication in academic press/journals (12)
  1. On a Hecke-type functional equation with conductor q=5.
    Authors:
    J. Kaczorowski; A. Perelli
    Academic press:
    Ann. Mat. Pura Appl. (rok: 2018, tom: (4) 197, strony: 1707-1728), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-018-0744-x - link to the publication
  2. Explicit formulae for averages of Goldbach representations.
    Authors:
    J. Brüdern, J. Kaczorowski, A. Perelli
    Academic press:
    Transactions of the AMS (rok: 2019, tom: 372, strony: 6981–6999), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7799 - link to the publication
  3. On the Rankin-Selberg convolution of degree 2 functions from the extended Selberg class
    Authors:
    J. Kaczorowski, A. Perelli
    Academic press:
    Banach Center Publications (rok: 2019, tom: 118, strony: 25-35), Wydawca: Polish Academy of Sciences
    Status:
    Published
    DOI:
    10.4064/bc118-2 - link to the publication
  4. Classification of L-functions of degree 2 and conductor 1
    Authors:
    J. Kaczorowski, A. Perelli
    Academic press:
    Inventiones Mathematicae (rok: 2021, tom: bd., strony: bd), Wydawca: Springer Verlag
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Analytic properties of the standard twist of L-functions
    Authors:
    J. Kaczorowski, A. Perelli
    Academic press:
    Rivista di Matematica della Universita' di Parma (rok: 2021, tom: 12, strony: 125-141), Wydawca: University degli Studi di Parma
    Status:
    Published
    DOI:
    brak - link to the publication
  6. On the standard twist of the L-functions of the half-integral weight cusp forms.
    Authors:
    J. Kaczorowski; A. Perelli
    Academic press:
    Nagoya Mathematical Journal (rok: 2020, tom: 240, strony: 150–180), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/nmj.2018.48 - link to the publication
  7. Zeta functions of finite fields and the Selberg class.
    Authors:
    J. Kaczorowski; A. Perelli
    Academic press:
    Acta Arith. (rok: 2018, tom: 184, no. 3, strony: 247-265.), Wydawca: Instytut Matematyczny PAN, Warszawa
    Status:
    Published
    DOI:
    10.4064/aa170811-12-1 - link to the publication
  8. Structural invariants of L-functions and applications: a survey
    Authors:
    J. Kaczorowski, A. Perelli
    Academic press:
    Rivista di Matematica della Università di Parma (rok: 2021, tom: bd., strony: bd.), Wydawca: Universita degli Studi di Parma
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  9. The standard twist of L-functions revisited
    Authors:
    J.Kaczorowski, A. Perelli
    Academic press:
    Acta Arithmetica , Wydawca: Instytut Matematyczny PAN
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  10. A variant of the large sieve inequality with explicit constants
    Authors:
    M. Grześkowiak
    Academic press:
    Journal of Mathematical Cryptology (rok: 2020, tom: 14, strony: 307-315), Wydawca: Walter de Gruyter
    Status:
    Published
    DOI:
    10.1515/jmc-2019-0022 - link to the publication
  11. Integer factoring and compositeness witnesses.
    Authors:
    J. Pomykała, M. Radziejewski
    Academic press:
    Journal of Mathematical Cryptology (rok: 2020, tom: 14, strony: 346-358), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/jmc-2019-0023 - link to the publication
  12. Density of type-dependent sets in monoids with an analytic structure
    Authors:
    M. Radziejewski
    Academic press:
    Semigroup Forum (rok: 2021, ), Wydawca: Springer New York
    Status:
    Submitted
    DOI:
    brak - link to the publication

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