Garcia, Stephan Ramon; Luca, Florian; Shi, Kye; Udell, Gabe Primitive root bias for twin primes. II: Schinzel-type theorems for totient quotients and the sum-of-divisors function. (English) Zbl 1450.11002 J. Number Theory 208, 400-417 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11A07 11A41 11N05 11N37 11N56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Weixiong A note on the Bateman-Horn conjecture. (English) Zbl 1480.11118 J. Number Theory 208, 390-399 (2020). MSC: 11N32 11N13 11N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garcia, Stephan Ramon; Luca, Florian; Schaaff, Timothy Primitive root biases for prime pairs. I: Existence and non-totality of biases. (English) Zbl 1431.11112 J. Number Theory 185, 93-120 (2018). MSC: 11N37 11N36 11A07 11A41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mingari Scarpello, Giovanni; Ritelli, Daniele Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli. (English) Zbl 1384.33028 J. Number Theory 135, 334-352 (2014). MSC: 33C65 11Y60 × Cite Format Result Cite Review PDF Full Text: DOI
Shparlinski, Igor E.; Sutantyo, Daniel Distribution of elliptic twin primes in isogeny and isomorphism classes. (English) Zbl 1317.11097 J. Number Theory 137, 1-15 (2014). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11N25 11G20 11T71 14H52 × Cite Format Result Cite Review PDF Full Text: DOI
Otsubo, Noriyuki Certain values of Hecke \(L\)-functions and generalized hypergeometric functions. (English) Zbl 1261.19004 J. Number Theory 131, No. 4, 648-660 (2011). Reviewer: Feng-Wen An (Hubei) MSC: 19F27 33C20 33C65 11F67 11G40 × Cite Format Result Cite Review PDF Full Text: DOI
Koike, Kenji; Shiga, Hironori An extended Gauss AGM and corresponding Picard modular forms. (English) Zbl 1217.11050 J. Number Theory 128, No. 7, 2097-2126 (2008). MSC: 11F55 11F27 14H42 33C65 × Cite Format Result Cite Review PDF Full Text: DOI
Baier, Stephan On the Bateman-Horn conjecture. (English) Zbl 1040.11067 J. Number Theory 96, No. 2, 432-448 (2002). Reviewer: J. Kaczorowski (Poznań) MSC: 11N32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI