On pairs of Goldbach-Linnik equations with unequal powers of primes
Czechoslovak Mathematical Journal (2023)
- Volume: 73, Issue: 4, page 1219-1228
- ISSN: 0011-4642
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topHuang, Enxun. "On pairs of Goldbach-Linnik equations with unequal powers of primes." Czechoslovak Mathematical Journal 73.4 (2023): 1219-1228. <http://eudml.org/doc/299438>.
@article{Huang2023,
abstract = {It is proved that every pair of sufficiently large odd integers can be represented by a pair of equations, each containing two squares of primes, two cubes of primes, two fourth powers of primes and 105 powers of 2.},
author = {Huang, Enxun},
journal = {Czechoslovak Mathematical Journal},
keywords = {Goldbach-Waring-Linnik problem; circle method; powers of 2},
language = {eng},
number = {4},
pages = {1219-1228},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On pairs of Goldbach-Linnik equations with unequal powers of primes},
url = {http://eudml.org/doc/299438},
volume = {73},
year = {2023},
}
TY - JOUR
AU - Huang, Enxun
TI - On pairs of Goldbach-Linnik equations with unequal powers of primes
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 4
SP - 1219
EP - 1228
AB - It is proved that every pair of sufficiently large odd integers can be represented by a pair of equations, each containing two squares of primes, two cubes of primes, two fourth powers of primes and 105 powers of 2.
LA - eng
KW - Goldbach-Waring-Linnik problem; circle method; powers of 2
UR - http://eudml.org/doc/299438
ER -
References
top- Heath-Brown, D. R., Puchta, J.-C., 10.4310/AJM.2002.v6.n3.a7, Asian J. Math. 6 (2002), 535-565. (2002) Zbl1097.11050MR1946346DOI10.4310/AJM.2002.v6.n3.a7
- Kong, Y., 10.1017/S0004972712000172, Bull. Aust. Math. Soc. 87 (2013), 55-67. (2013) Zbl1266.11110MR3011941DOI10.1017/S0004972712000172
- Kong, Y., Liu, Z., 10.1017/S000497271600071X, Bull. Aust. Math. Soc. 95 (2017), 199-208. (2017) Zbl1381.11098MR3614942DOI10.1017/S000497271600071X
- Kumchev, A. V., 10.1307/mmj/1156345592, Mich. Math. J. 54 (2006), 243-268. (2006) Zbl1137.11054MR2252758DOI10.1307/mmj/1156345592
- Languasco, A., Zaccagnini, A., 10.4064/aa145-2-7, Acta Arith. 145 (2010), 193-208. (2010) Zbl1222.11049MR2733083DOI10.4064/aa145-2-7
- Linnik, Y. V., Prime numbers and powers of two, Tr. Mat. Inst. Steklova 38 (1951), 152-169 Russian. (1951) Zbl0049.31402MR0050618
- Linnik, Y. V., Addition of prime numbers with powers of one and the same number, Mat. Sb., N. Ser. 32 (1953), 3-60 Russian. (1953) Zbl0051.03402MR0059938
- Liu, J., 10.1134/S0081543812010154, Proc. Steklov Inst. Math. 276 (2012), 176-192. (2012) Zbl1297.11130MR2986119DOI10.1134/S0081543812010154
- Liu, Z., 10.1016/j.jnt.2016.12.009, J. Number Theory 176 (2017), 439-448. (2017) Zbl1422.11207MR3622138DOI10.1016/j.jnt.2016.12.009
- Liu, J., Liu, M.-C., Wang, T., 10.5802/jtnb.242, J. Théor. Nombres Bordx. 11 (1999), 133-147. (1999) Zbl0979.11051MR1730436DOI10.5802/jtnb.242
- Lü, X., 10.1007/s11139-018-0128-2, Ramanujan J. 50 (2019), 111-121. (2019) Zbl1472.11269MR4008100DOI10.1007/s11139-018-0128-2
- Pintz, J., Ruzsa, I. Z., 10.4064/aa109-2-6, Acta. Arith. 109 (2003), 169-194. (2003) Zbl1031.11060MR1980645DOI10.4064/aa109-2-6
- Zhao, L., 10.1112/plms/pdt072, Proc. Lond. Math. Soc. (3) 108 (2014), 1593-1622. (2014) Zbl1370.11116MR3218320DOI10.1112/plms/pdt072
- Zhao, X., 10.1007/s11139-020-00303-9, Ramanujan J. 57 (2022), 239-251. (2022) Zbl1498.11203MR4360484DOI10.1007/s11139-020-00303-9
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