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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ANALYTICAL METHODS IN ARITHMETIC RESEARCH

2013/11/B/ST1/02799

Keywords:

Selberg class L-functions oscillations of arithmetical error terms applications of L-functions in number theory

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: 8

Call: OPUS 6 - announced on 2013-09-16

Amount awarded: 593 240 PLN

Project start date (Y-m-d): 2014-10-01

Project end date (Y-m-d): 2017-09-30

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Zestaw komputerowy (4 290 PLN)
  2. Zestaw komputerowy (7 000 PLN)
  3. Zestaw komputerowy (2 szt.) (14 000 PLN)

Information in the final report

  • Publication in academic press/journals (14)
  • Book publications / chapters in book publications (2)
  1. A note on Linnik's approach to the Dirichlet L-functions
    Authors:
    Jerzy Kaczorowski, Alberto Perelli
    Academic press:
    Proceedings of the Steklov Institute of Mathematics (rok: 2017, tom: 296, strony: 45301), Wydawca: Pleiades Publishing, Ltd.
    Status:
    Published
    DOI:
    10.1134/S0081543817010096 - link to the publication
  2. A weak converse theorem for degree 2 L-functions with conductor 1
    Authors:
    Jerzy Kaczorowski, Alberto Perelli
    Academic press:
    Publications of the Research Institute for Mathematical Sciences (rok: 2017, tom: 53, strony: 337-347), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    brak - link to the publication
  3. Explicit zero-counting theorem for Hecke- Landau zeta functions
    Authors:
    Maciej Grześkowiak
    Academic press:
    Bulletin of the Australian Mathematical Society (rok: 2017, tom: 95(3), strony: 400-411), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0004972716001106 - link to the publication
  4. Joint universality for dependent L-functions
    Authors:
    Łukasz Pańkowski
    Academic press:
    Ramanujan Journal (rok: 2018, tom: 45, strony: 181-195), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s/11139-017-9886-5 - link to the publication
  5. Value distribution for the derivatives of the logartihm of L-functions from the Selberg class in the half-plane of absolute convergence
    Authors:
    T. Nakamura, Ł. Pańkowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2016, tom: 433, strony: 566-577), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2015.08.003 - link to the publication
  6. General $\Omega$-theorems for coefficients of L-functions
    Authors:
    J. Kaczorowski, A. Perelli
    Academic press:
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (rok: 2015, tom: 143(2), strony: 5139-5145), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/12652 - link to the publication
  7. Joint universality for Lerch zeta-function
    Authors:
    Y. Lee, T. Nakamura, Ł. Pańkowski
    Academic press:
    Journal of Mathematical Society of Japan (rok: 2017, tom: 69, strony: 153-161), Wydawca: Mathematical Society of Japan
    Status:
    Published
    DOI:
    10.2969/jmsj/06910153 - link to the publication
  8. Some remarks on the convergence of the Dirichlet series of L-functions and related questions
    Authors:
    Jerzy Kaczorowski, Alberto Perelli
    Academic press:
    Mathematische Zeitschrift (rok: 2017, tom: 385, strony: 1345-1355), Wydawca: Springer International Publishing AG
    Status:
    Published
    DOI:
    10.1007/s00209-016-1750-6 - link to the publication
  9. Analytic Monoids and Factorization Problems
    Authors:
    J. Kaczorowski
    Academic press:
    SEMIGROUP FORUM (rok: 2017, tom: 94, strony: 532-555), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s00233-016-9778-9 - link to the publication
  10. Large values of L-functions from the Selberg class
    Authors:
    C. Aistleitner, Ł. Pańkowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2017, tom: 446, strony: 345-364), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/J.JMAA.2016.08.044 - link to the publication
  11. Selberg's orthogonality conjecture and joint universality of L-functions
    Authors:
    Y. Lee, T. Nakamura, Ł. Pańkowski
    Academic press:
    Mathematische Zeitschrift (rok: 2017, tom: 286, strony: 45309), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00209-016-1754-2 - link to the publication
  12. Lower estimates related to the twisted Dedekind function
    Authors:
    J. Kaczorowski, K. Wiertelak
    Academic press:
    International Journal of Number Theory (rok: 2016, tom: 12, strony: 1801-1811), Wydawca: World Scientific Publishing Co.
    Status:
    Published
    DOI:
    10.1142/S1793042116501116 - link to the publication
  13. Joint universality and generalized strong recurrence with rational parameter
    Authors:
    Ł. Pankowski
    Academic press:
    Journal of Number Theory (rok: 2016, tom: 163, strony: 61-74), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jnt.2015.11.005 - link to the publication
  14. Twists and resonance of L-functions, II
    Authors:
    J. Kaczorowski, A. Perelli
    Academic press:
    International Mathematics Research Notices (rok: 2016, tom: 2016, strony: 7637-7670), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnw014 - link to the publication
  1. A note on Bessel twists of L-functions
    Authors:
    J. Kaczorowski, A. Perelli
    Book:
    Analytic Number Theory, In honour of Helmut Maier's 60th birthday (rok: 2015, tom: 1, strony: 195-200), Wydawca: Springer International Publishing Switzerland
    Status:
    Published
  2. Explicit Bound for the Prime Ideal Theorem in Residue Classes
    Authors:
    Maciej Grześkowiak
    Book:
    Number-Theoretic Methods in Cryptology (rok: 2018, tom: 10737, strony: 48-68), Wydawca: Springer International Publishing AG
    Status:
    Published

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