References
- Berndt , B.C. 1969 . Identities involving the coefficients of a class of Dirichlet series I . Trans. Amer. Math. Soc. , 137 : 345 – 359 .
- Bingham , N.H. , Goldie , C.M. and Teugels , J.L. 1987 . Regular Variation , Cambridge : Cambridge University Press .
- Chandrasekharan , K. 1968 . Introduction to analytic number theory , Berlin-Heidelberg-New York : Springer Verlag .
- Chandrasekharan , K. 1970 . Arithmetical functions , Berlin-Heidelberg-New York : Springer Verlag .
- Chandrasekharan , K. and Narasimhan , R. 1961 . Hecke's functional equation and arithmetical identities . Ann. Math. , 74 : 1 – 23 .
- Chandrasekharan , K. and Narasimhan , R. 1962 . Functional equations with multiple gamma factors and the average order of arithmetical functions . Ann. Math. , 76 : 93 – 136 .
- Ditkin , V.A. and Prudnikov , A.P. 1974 . Integral transforms and operational calculus (Russian) , Moscow : Nauka .
- Doetsch , G. 1950 . “ Handbuch der Laplace-Transformation ” . In Band I , Basel and Stuttgart : Birkhäuser Verlag .
- Hafner , J.L. 1981 . “ On the representation of the summatory function of a class of arithmetical functions ” . In in "Analytic Number Theory" , Edited by: Knopp , M.I. 145 – 165 . Berlin-Heidelberg-New York : Springer Verlag . LNM 899
- Hardy , G.H. 1916 . The average order of the arithmetical functions P(x) and Δ(x) . Proc. London Math. Soc. , 15 ( 2 ) : 192 – 213 .
- Israilov , M.I. 1979 . The Laurent coefficients of the Riemann zeta-function (Russian) . Dokl. Akad. Nauk SSSR , 12 ( 2 ) : 9 – 10 .
- Israilov , M.I. 1981 . The Laurent expansion of the Riemann zeta-function (Russian) . Trudy Mat. Inst. Steklova , 158 ( 2 ) : 98 – 104 .
- Ivić , A. 1985 . The Riemann zeta-function , New York : John Wiley & Sons .
- Ivić , A. 1990 . Large values of certain number-theoretic error terms . Acta Arithmetica , 56 : 135 – 159 .
- Ivić , A. 1993 . On the Laurent coefficients of certain Dirichlet series . Publications Inst. Math. (Belgrade) , 53 ( 67 ) : 23 – 36 .
- Ivić , A. 1996 . The Laplace transform of the square in the circle and divisor problems . Studia Scien. Math. Hungarica , 32 ( 67 ) : 181 – 205 .
- Ivić , A. 1996 . “ On the Mellin transform and the Riemann zeta-function ” . In in "Proceedings of the Conference Elementary and Analytic Number Theory", 112 – 127 . Vienna
- Ivić , A. 1996 . The Voronoi identity via the Laplace transform . The Ramanujan Journal , to appear
- Jutila , M. 1987 . “ A method in the theory of exponential sums ” . In Tata Institute of Fundamental Research , Bombay : Lecture Notes 80 . (distr. by Springer Verlag, Berlin etc.).
- Lavrik , A.F. 1976 . On the prinicipal term in the divisor problem and the power series of the Riemann zeta-function in a neighborhood of its pole (Russian) . Trudy Mat. Inst. Steklova , 142 : 165 – 173 .
- Lavrik , A.F. , Israilov , M.I. and Edgorov , Ž. 1990 . On an integral containing the remainder term in divisor problems (Russian) . Acta Arith. , 37 : 381 – 389 .
- Lebedev , N.N. 1972 . Special functions and their applications , New York : Dover .
- Meurman , T. 1992 . A simple proof of Voronoi's identity . Astérisque , 209 : 265 – 274 .
- Richert , H.-E. 1957 . Über Dirichletreihen mit Funktionalgleichungen . Publications Inst. Math. (Belgrade) , 11 : 73 – 124 .
- Richert , H.-E. 1960 . Einführung in die Theorie der starken Rieszschen Summierbarkeit der Dirichletreihen . Nachr. Akad. Wiss. Göttingen (Math.-Physik) , 11 : 17 – 75 .
- Seneta , E. 1976 . “ Regularly varying functions ” . In LNM 508 , Berlin-Heidelberg-New York : Springer-Verlag .
- Sitaramachandrarao , R. 1987 . An integral involving the remainder term in the Piltz divisor problem . Acta Arith , 48 : 89 – 92 .
- Voronoi , G.F. 1904 . Sur une fonction transcendante et ses applications à la sommation de quelques s´ries . Ann. École Normale , 21 ( 3 ) : 459 – 534 .