Short sums of certain arithmetic functions

Acta Mathematica

Volumn 180, Issue 1, 1998, Pages 119-144

  Nair, Mohan ^a   Tenenbaum, Gérald ^b,c  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b UNIVERSITÉ DE LORRAINE   (France)

^c UNIVERSITÉ HENRI POINCARÉ NANCY 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006179797     PISSN: 00015962     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02392880     Document Type: Article

References (9)

1. k=1f(k). Acta Arith., 55 (1990), 191-200.
2. HALL, R. R. & TENENBAUM, G., Divisors. Cambridge Tracts in Math., 90. Cambridge Univ. Press, Cambridge-New York, 1988.
3. HOOLEY, C., On a new technique and its applications to the theory of numbers. Proc. London Math. Soc. (3), 38 (1979), 115-151.
4. HILDEBRAND, A., Integers free of large prime factors in short intervals. Quart. J. Math. Oxford Ser. (2), 36 (1985), 57-69.
5. NAIR, M., Multiplicative functions of polynomial values in short intervals. Acta Arith., 62 (1992), 257-269.
6. RÉDEI, L., Algebra, Vol. 1. Pergamon Press, Oxford-New York-Toronto, 1967.
7. SHIU, P., A Brun-Titchmarsh theorem for multiplicative functions. J. Reine Angew. Math., 313 (1980), 161-170.
8. TENENBAUM, G., Sur une question d'Erdos et Schinzel, in A Tribute to Paul Erdos (A. Baker, B. Bollobás and A. Hajnal, eds.), pp. 405-443. Cambridge Univ. Press, Cambridge, 1990.
9. -Sur une question d'Erdos et Schinzel, II. Invent. Math., 99 (1990), 215-224.