Analytic methds in number theory
2017/25/B/ST1/00208
Keywords
Descriptors
- ST1_3: Teoria liczb
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
Voivodeship: wielkopolskie
Principal investigator (from the host institution)
prof. Jerzy Sławomir 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
- 2018-01-03
- Project end date
- 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]
- Tablet z rysikiem 1 szt.. Cost: 5 639 PLN
- Tablet z rysikiem i etui 1 szt.. Cost: 6 531 PLN
- Zestaw komputerowy. Cost: 8 000 PLN
Information in the final report
Publication in academic press/journals (10)
-
Analytic properties of the standard twist of L-functions
- Authors:
- J. Kaczorowski, A. Perelli
- Academic press:
- Rivista di Matematica della Universita' di Parma (year: 2021, volume: 12, pages: 125-141), Publisher: University degli Studi di Parma
- Status:
- Published
-
A variant of the large sieve inequality with explicit constants
- Authors:
- M. Grześkowiak
- Academic press:
- Journal of Mathematical Cryptology (year: 2020, volume: 14, pages: 307-315), Publisher: Walter de Gruyter
- Status:
- Published
- DOI:
- 10.1515/jmc-2019-0022 – link to the publication
-
On the Rankin-Selberg convolution of degree 2 functions from the extended Selberg class
- Authors:
- J. Kaczorowski, A. Perelli
- Academic press:
- Banach Center Publications (year: 2019, volume: 118, pages: 25-35), Publisher: Polish Academy of Sciences
- Status:
- Published
- DOI:
- 10.4064/bc118-2 – link to the publication
-
On a Hecke-type functional equation with conductor q=5.
- Authors:
- J. Kaczorowski; A. Perelli
- Academic press:
- Ann. Mat. Pura Appl. (year: 2018, volume: (4) 197, pages: 1707-1728), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10231-018-0744-x – link to the publication
-
Explicit formulae for averages of Goldbach representations.
- Authors:
- J. Brüdern, J. Kaczorowski, A. Perelli
- Academic press:
- Transactions of the AMS (year: 2019, volume: 372, pages: 6981–6999), Publisher: American Mathematical Society
- Status:
- Published
- DOI:
- 10.1090/tran/7799 – link to the publication
-
Integer factoring and compositeness witnesses.
- Authors:
- J. Pomykała, M. Radziejewski
- Academic press:
- Journal of Mathematical Cryptology (year: 2020, volume: 14, pages: 346-358), Publisher: De Gruyter
- Status:
- Published
- DOI:
- 10.1515/jmc-2019-0023 – link to the publication
-
Zeta functions of finite fields and the Selberg class.
- Authors:
- J. Kaczorowski; A. Perelli
- Academic press:
- Acta Arith. (year: 2018, volume: 184, no. 3, pages: 247-265.), Publisher: Instytut Matematyczny PAN, Warszawa
- Status:
- Published
- DOI:
- 10.4064/aa170811-12-1 – link to the publication
-
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 (year: 2020, volume: 240, pages: 150–180), Publisher: Cambridge University Press
- Status:
- Published
- DOI:
- 10.1017/nmj.2018.48 – link to the publication
-
The standard twist of L-functions revisited
- Authors:
- J.Kaczorowski, A. Perelli
- Status:
- Accepted for publication
-
Structural invariants of L-functions and applications: a survey
- Authors:
- J. Kaczorowski, A. Perelli
- Status:
- Accepted for publication