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On sums of squares of primes and a k-th power of prime
- Source :
- Monatshefte für Mathematik. 188:269-285
- Publication Year :
- 2018
- Publisher :
- Springer Science and Business Media LLC, 2018.
-
Abstract
- In this short paper, we consider the exceptional set of integers, not restricted by elementary congruence conditions, which cannot be represented as sums of two squares of primes and a k-th power of prime for any integer $$k \ge 3$$ . Our results improve the recent results due to Brudern (in: Sander, Steuding, Steuding (eds) From arithmetic to zeta-functions, Springer, Cham 2016). The similar method can be also applied to some related questions in this direction, and this can improve the previous results.
Details
- ISSN :
- 14365081 and 00269255
- Volume :
- 188
- Database :
- OpenAIRE
- Journal :
- Monatshefte für Mathematik
- Accession number :
- edsair.doi...........4166ffae7e694992d3d6d33781867ae8