Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro A Cesàro average for an additive problem with an arbitrary number of prime powers and squares. (English) Zbl 1535.11136 Res. Number Theory 8, No. 3, Paper No. 50, 22 p. (2022). MSC: 11P32 44A10 33C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cantarini, Marco; Gambini, Alessandro; Zaccagnini, Alessandro Cesàro averages for Goldbach representations with summands in arithmetic progressions. (English) Zbl 1483.11218 Int. J. Number Theory 17, No. 10, 2379-2393 (2021). MSC: 11P32 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bhowmik, Gautami; Halupczok, Karin Asymptotics of Goldbach representations. (English) Zbl 1456.11191 Mishou, Hidehiko (ed.) et al., Various aspects of multiple zeta functions – in honor of Professor Kohji Matsumoto’s 60th birthday. Proceedings of the international conference, Nagoya University, Nagoya, Japan August 21–25, 2020. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 84, 1-21 (2020). MSC: 11P32 11M26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Cantarini, Marco Some identities involving the Cesàro average of the Goldbach numbers. (English) Zbl 1445.11108 Math. Notes 106, No. 5, 688-702 (2019). MSC: 11P32 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brüdern, Jörg; Kaczorowski, Jerzy; Perelli, Alberto Explicit formulae for averages of Goldbach representations. (English) Zbl 1470.11251 Trans. Am. Math. Soc. 372, No. 10, 6981-6999 (2019). MSC: 11P32 11N05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Languasco, Alessandro; Zaccagnini, Alessandro A Cesàro average for an additive problem with prime powers. (English) Zbl 1457.11137 Pańkowski, Łukasz (ed.) et al., Number theory week 2017. Proceedings of the conference on the occasion of the 60th birthday of Jerzy Kaczorowski, Poznań, Poland, September 4–8, 2017. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 118, 137-152 (2019). MSC: 11P32 44A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cantarini, Marco On the Cesàro average of the numbers that can be written as sum of a prime and two squares of primes. (English) Zbl 1431.11113 J. Number Theory 185, 194-217 (2018). MSC: 11P32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Languasco, Alessandro; Zaccagnini, Alessandro Cesàro average in short intervals for Goldbach numbers. (English) Zbl 1421.11082 Proc. Am. Math. Soc. 145, No. 10, 4175-4186 (2017). MSC: 11P32 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv