On the maximal exponent of the prime power divisor of integers

[1] M. B. Barban, Yu. V. Linnik, N. G. Tshudakov, On prime numbers in an arithmetic progression with a prime-power difference, Acta Arithmetica, 9 (1964), 375-390.10.4064/aa-9-4-375-390Search in Google Scholar

[2] P. D. T. A. Elliott, Primes in progressions to moduli with a large power factor, Ramanujan J., 13 (2007), 241-251.10.1007/s11139-006-0250-4Search in Google Scholar

[3] P. X. Gallagher, Primes to progressions to prime-power modulus, Inventiones Math, 16 (1972), 191-201.10.1007/BF01425492Search in Google Scholar

[4] Gu Tongxing and Cao Huizhong, On sums of exponents of factoring integers, Journal of Mathematical Research and Exposition, 13 (1993), 166.Search in Google Scholar

[5] I. Kátai and M. V. Subbarao, On the maximal and minimal exponent of the prime power divisors of integers, Publ. Math. Debrecen, 68 (2006), 477-488.Search in Google Scholar

[6] Kaneeika Sinka, Average orders of certain arithmetical functions, J. Ramanujan Math. Soc., 21 (3) (2006), 267-277; corrigendum ibid. 24 (2) (2009), 211.Search in Google Scholar

[7] I. Niven, Averages of exponents in factoring integers, Proc. Amer. Math. Soc., 22 (1969), 356-360.10.1090/S0002-9939-1969-0241373-5Search in Google Scholar

[8] W. Schwarz, J. Spilker, A remark on some special arithmetical functions, New Trends in Prob. and Stat., 4 (1996), 221-245.Search in Google Scholar

[9] D. Suryanayana and Sita Ramachandra Rao, On the maximum and minimum exponents in factoring integers, Archiv Math, 28 (1977),261-269.10.1007/BF01223919Search in Google Scholar