Name: Primes represented by quadratic polynomials via exceptional characters
Keywords: Classificació AMS::11 Number theory::11N Multiplicative number theory, Teoria dels, $L$ functions, sieve methods, Exceptional characters, :11 Number theory::11N Multiplicative number theory [Classificació AMS], Sieve methods, Mathematics - Number Theory, Matemáticas, Nombres, Teoria dels

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 23 Mar 2021Embargo end date: 01 Jan 2020 English Publisher:Springer Science and Business Media LLCJournal:Archiv der Mathematik, volume 117, pages 147-154 (issn: 0003-889X, eissn: 1420-8938,

Authors: Chamizo Lorente, Fernando; Jiménez Urroz, Jorge;

doi: 10.1007/s00013-021-01602-3 , 10.48550/arxiv.2011.05398

arXiv: 2011.05398

handle: 10486/700631 , 2117/361147

Primes represented by quadratic polynomials via exceptional characters

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Abstract

We estimate the number of primes represented by a general quadratic polynomial with discriminant $��$, assuming that the corresponding real character is exceptional.

8 pages

Related Organizations

Universitat Politècnica de Catalunya
Spain
Universitat Polite`cnica de Catalunya
Spain
Autonomous University of Madrid
Spain

Keywords

Classificació AMS::11 Number theory::11N Multiplicative number theory, Teoria dels, $L$ functions, sieve methods, Exceptional characters, :11 Number theory::11N Multiplicative number theory [Classificació AMS], Sieve methods, Mathematics - Number Theory, Matemáticas, Nombres, Teoria dels, exceptional characters, Sieves, Nombres, Primes represented by polynomials; other multiplicative structures of polynomial values, Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica, Number Theory, L functions, :Matemàtiques i estadística::Anàlisi matemàtica [Àrees temàtiques de la UPC], FOS: Mathematics, Real zeros of $L(s, \chi)$; results on $L(1, \chi)$, Number Theory (math.NT), Multiplicity (Mathematics)

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