Errata to "Average orders of multiplicative arithmetical functions of integer matrices" (Acta Arith. 66 (1994), 45-62)
G. Bhowmik, O. Ramaré (1998)
Acta Arithmetica
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G. Bhowmik, O. Ramaré (1998)
Acta Arithmetica
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Jean-Loup Mauclaire (1999)
Acta Arithmetica
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I. Introduction. In 1946, P. Erdős [2] proved that if a real-valued additive arithmetical function f satisfies the condition: f(n+1) - f(n) → 0, n → ∞, then there exists a constant C such that f(n) = C log n for all n in ℕ*. Later, I. Kátai [3,4] was led to conjecture that it was possible to determine additive arithmetical functions f and g satisfying the condition: there exist a real number l, a, c in ℕ*, and integers b, d such that f(an+b) - g(cn+d) → l, n → ∞. This problem...
Gautami Bhowmik (1996)
Acta Arithmetica
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1. Introduction. The study of divisor functions of matrices arose legitimately in the context of arithmetic of matrices, and the question of the number of (possibly weighted) inequivalent factorizations of an integer matrix was asked. However, till now only partial answers were available. Nanda [6] evaluated the case of prime matrices and Narang [7] gave an evaluation for 2×2 matrices. We obtained a recursion in the size of the matrices and the weights of the divisors [1,2] which helped...
Bhattacharjee, D. (1999)
Georgian Mathematical Journal
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Alfred Geroldinger (1997)
Colloquium Mathematicae
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Pchelintsev, S.V. (2007)
Sibirskij Matematicheskij Zhurnal
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Bege, Antal, Fogarasi, Kinga (2009)
Acta Universitatis Sapientiae. Mathematica
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Sharma, R.K., Srivastava, J.B., Khan, Manju (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Polovinkin, V.I. (2001)
Sibirskij Matematicheskij Zhurnal
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F. Azarpanah, O. Karamzadeh, A. Rezai Aliabad (1999)
Fundamenta Mathematicae
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An ideal I in a commutative ring R is called a z°-ideal if I consists of zero divisors and for each a ∈ I the intersection of all minimal prime ideals containing a is contained in I. We characterize topological spaces X for which z-ideals and z°-ideals coincide in , or equivalently, the sum of any two ideals consisting entirely of zero divisors consists entirely of zero divisors. Basically disconnected spaces, extremally disconnected and P-spaces are characterized in terms of z°-ideals....
A. Rotkiewicz (1994)
Acta Arithmetica
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Bogdan Szydło (1994)
Acta Arithmetica
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