caa a22 4500 465811531 CHVBK 20180323112117.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF02107961 doi (NATIONALLICENCE)springer-10.1007/BF02107961 Tianxin Cai Department of Mathematics, Hangzhou University, China aut Primes representable by polynomials and the lower bound of the least primes in arithmetic progressions [Elektronische Daten] [Cai Tianxin] Letf (m) be an irreducible quadratic polynomial with integral coefficients and positive leading coefficient. Under the assumption of Extended Riemann Hypothesis, we obtain new remainder terms in the upper bounds on primes represented byf(m) orf(p) which greatly improve Bantle's recent results. As an application, we obtain, in the second part of the paper, a new result on the lower bound of the least primes in arithmetic progressions with some difference. Springer-Verlag, 1990 Acta Mathematica Sinica Springer-Verlag 6/4(1990-12-01), 289-296 1439-8516 6:4<289 1990 6 10114 https://doi.org/10.1007/BF02107961 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02107961 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Tianxin Cai Department of Mathematics, Hangzhou University, China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica Springer-Verlag 6/4(1990-12-01), 289-296 1439-8516 6:4<289 1990 6 10114 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer