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squares . Acta Math. Hungar ., 125 ( 3 ): 249 – 260 , 2009 . [3] J . Januszewski and Ł . Zielonka . Parallel covering of a triangle with squares . Ars Combin ., 149 : 165 – 183 , 2020 . [4] M . Lu and Z . Su . Parallel covering of isosceles
Abstract
Let E(X) denote the number of natural numbers not exceeding X which cannot be written as a sum of a prime and a square. In this paper we show that for sufficiently large X we have E(X)<< X0.982.
Abstract
Abstract
A sequence of natural numbersA=a 1,a 2, ... is constructed such that noa i −a j is a square and there are >x 0,73 a i 's belowx.
University , 1989 . (In Russian.) [3] Y . Cai . On a Diophantine equation involving primes . Ramanujan J ., 50 : 151 – 162 , 2019 . [4] S. I . Dimitrov . A ternary diophantine inequality by primes near to squares. to appear in J. Ramanujan Math. Soc
the identity as anywhere else in the town. The housing and public spaces built for the miners 60–70 years ago during the socialist period are now obsolete and there is an urgent need to renew and improve them ( Fig. 1 ). Fig. 1. The Petőfi Square, the
References [1] Cai , Y. C. 2010 Lagrange’s four squares theorem with variables of special type International J. Number Theory
. Hair , J.F. Jr., Sarstedt , M. Hopkins , L. and Kuppelwieser , G. ( 2014 ). Partial least squares structural equation modeling (PLS-SEM): An emerging tool in business research [J] . European Business Review , ( 2 ), 106 – 121
Abstract
The aim of this paper is to investigate homomorphisms which reserve square-free languages or primitive languages. A characterization of square-free-preserving homomorphisms is presented. We show that every square-free-preserving homomorphism is primitive-preserving. Strongly cube-free-preserving homomorphisms are also studied.
texts , John Wiley and Sons ( 1998 ). [2] B ourgain , J. , On Λ( p )-subsets of squares , Israel J. Math. , 67 ( 1989 ), 291 – 311
