Multiplicative functions of polynomial values in short intervals

Mohan Nair

Acta Arithmetica (1992)

  • Volume: 62, Issue: 3, page 257-269
  • ISSN: 0065-1036

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Mohan Nair. "Multiplicative functions of polynomial values in short intervals." Acta Arithmetica 62.3 (1992): 257-269. <http://eudml.org/doc/206492>.

@article{MohanNair1992,
author = {Mohan Nair},
journal = {Acta Arithmetica},
keywords = {uniform estimates; polynomial with integer coefficients; multiplicative functions of polynomial values; short intervals},
language = {eng},
number = {3},
pages = {257-269},
title = {Multiplicative functions of polynomial values in short intervals},
url = {http://eudml.org/doc/206492},
volume = {62},
year = {1992},
}

TY - JOUR
AU - Mohan Nair
TI - Multiplicative functions of polynomial values in short intervals
JO - Acta Arithmetica
PY - 1992
VL - 62
IS - 3
SP - 257
EP - 269
LA - eng
KW - uniform estimates; polynomial with integer coefficients; multiplicative functions of polynomial values; short intervals
UR - http://eudml.org/doc/206492
ER -

References

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  1. [1] F. Delmer, Sur la somme de diviseurs k x d [ f ( k ) ] s , C. R. Acad. Sci. Paris Sér. A-B 272 (1971), A849-A852. Zbl0213.05301
  2. [2] P. Erdős, On the sum k = 1 x d ( f ( k ) ) , J. London Math. Soc. 27 (1952), 7-15. 
  3. [3] H. Halberstam and H.- E. Richert, Sieve Methods, Academic Press, London 1974. Zbl0298.10026
  4. [4] T. Nagell, Introduction to Number Theory, 2nd ed., Chelsea, New York 1964. Zbl0221.10002
  5. [5] P. Shiu, A Brun-Titchmarsh theorem for multiplicative functions, J. Reine Angew. Math. 313 (1980), 161-170. Zbl0412.10030
  6. [6] D. Wolke, Multiplikative Funktionen auf schnell wachsenden Folgen, J. Reine Angew. Math. 251 (1971), 54-67. 

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