Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2017, Volume 299, Pages 127–143
DOI: https://doi.org/10.1134/S0371968517040082 (Mi tm3839) 		 
Internal twists of $L$-functions. II

J. Kaczorowskiab, A. Perellic

a Faculty of Mathematics and Computer Science, Adam Mickiewicz University, ul. Umultowska 87, 61-614 Poznán, Poland
b Institute of Mathematics of the Polish Academy of Sciences, ul. Śniadeckich 8, 00-656 Warsaw, Poland
c Dipartimento di Matematica, Università di Genova, via Dodecaneso 35, 16146 Genova, Italy
Full-text PDF (250 kB)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968517040082
Abstract: A nonlinear twist $F(s;f)$ of a function $F(s)$ from the extended Selberg class $\mathcal S^\sharp $ is called internal if it belongs to $\mathcal S^\sharp $. In a previous paper (2014) we showed that, inside a rather general class of nonlinear twists, the internal twists occur only in very special cases; moreover, we gave a first characterization of such twists. Here we complete our previous work by giving a fully detailed description of such internal twists.
Keywords: $L$-functions, Selberg class, twists.
Funding agency Grant number
Istituto Nazionale di Alta Matematica "Francesco Severi"
Ministero dell'Istruzione, dell'Università e della Ricerca PRIN2015
National Science Centre (Narodowe Centrum Nauki) 2013/11/B/ST1/02799
This research was partially supported by Istituto Nazionale di Alta Matematica, by Ministero dell'Istruzione, dell'Università e della Ricerca (grant PRIN2015 Number Theory and Arithmetic Geometry) and by the Polish National Science Centre (grant no. 2013/11/B/ST1/02799 Analytic Methods in Arithmetic).
Received: August 18, 2016
English version:
Proceedings of the Steklov Institute of Mathematics, 2017, Volume 299, Pages 117–131
DOI: https://doi.org/10.1134/S0081543817080089
Bibliographic databases:
Document Type: Article
UDC: 511.331
MSC: 11M41
Language: Russian
Citation: J. Kaczorowski, A. Perelli, “Internal twists of $L$-functions. II”, Analytic number theory, On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba, Trudy Mat. Inst. Steklova, 299, MAIK Nauka/Interperiodica, Moscow, 2017, 127–143; Proc. Steklov Inst. Math., 299 (2017), 117–131
Citation in format AMSBIB
\Bibitem{KacPer17}
\by J.~Kaczorowski, A.~Perelli
\paper Internal twists of $L$-functions. II
\inbook Analytic number theory
\bookinfo On the occasion of the 80th anniversary of the birth of Anatolii Alekseevich Karatsuba
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 299
\pages 127--143
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3839}
\crossref{https://doi.org/10.1134/S0371968517040082}
\elib{https://elibrary.ru/item.asp?id=30727068}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2017
\vol 299
\pages 117--131
\crossref{https://doi.org/10.1134/S0081543817080089}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000425317900008}
\elib{https://elibrary.ru/item.asp?id=31045459}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042141264}
Linking options:
  • https://www.mathnet.ru/eng/tm3839
  • https://doi.org/10.1134/S0371968517040082
  • https://www.mathnet.ru/eng/tm/v299/p127
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:163
    Full-text PDF :15
    References:27
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024