The Journal of the Indian Mathematical Society

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On Numbers with a Large Prime Factor II


Affiliations
1 University of Turku, Department of Mathematics, Turku, Finland
     

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For positive integers u, k let P(u, k) stand for the largest prime factor of the number (u + 1).. .(u + k). For x > 0, z > 0 , A(z, x) = (log z/log x)2, for real x, e(x) - e2πix, [x] = the largest integer not exceeding x, {x} = x - [x]. c1, c2, . . . are positive constants. The constants implied by the symbols <, >, and 0( ) are absolute unless otherwise indicated.
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  • On Numbers with a Large Prime Factor II

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Authors

Matti Jutila
University of Turku, Department of Mathematics, Turku, Finland

Abstract


For positive integers u, k let P(u, k) stand for the largest prime factor of the number (u + 1).. .(u + k). For x > 0, z > 0 , A(z, x) = (log z/log x)2, for real x, e(x) - e2πix, [x] = the largest integer not exceeding x, {x} = x - [x]. c1, c2, . . . are positive constants. The constants implied by the symbols <, >, and 0( ) are absolute unless otherwise indicated.