Identities involving the coefficients of a class of Dirichlet series. II
HTML articles powered by AMS MathViewer
- by Bruce C. Berndt
- Trans. Amer. Math. Soc. 137 (1969), 361-374
- DOI: https://doi.org/10.1090/S0002-9947-1969-0236360-1
- PDF | Request permission
Part I: Trans. Amer. Math. Soc. (1969), 345-359
References
- Milton Abramowitz and I. A. Stegun, Editors, Handbook of mathematical functions, Dover, New York, 1965.
- Bruce C. Berndt, Identities involving the coefficients of a class of Dirichlet series. IV, Trans. Amer. Math. Soc. 149 (1970), 179–185. MR 260685, DOI 10.1090/S0002-9947-1970-0260685-5
- L. Carlitz, A formula connected with lattice points in a circle, Abh. Math. Sem. Univ. Hamburg 21 (1957), 87–89. MR 89866, DOI 10.1007/BF02941926
- K. Chandrasekharan and S. Minakshisundaram, Typical means, Oxford University Press, 1952. MR 0055458
- K. Chandrasekharan and Raghavan Narasimhan, Hecke’s functional equation and arithmetical identities, Ann. of Math. (2) 74 (1961), 1–23. MR 171761, DOI 10.2307/1970304
- K. Chandrasekharan and Raghavan Narasimhan, Functional equations with multiple gamma factors and the average order of arithmetical functions, Ann. of Math. (2) 76 (1962), 93–136. MR 140491, DOI 10.2307/1970267
- K. Chandrasekharan and Raghavan Narasimhan, The approximate functional equation for a class of zeta-functions, Math. Ann. 152 (1963), 30–64. MR 153643, DOI 10.1007/BF01343729 E. W. Hobson, The theory of functions of a real variable, Vol. II, 2nd ed., Cambridge Univ. Press, Cambridge, 1926.
- J. E. Littlewood, Lectures on the Theory of Functions, Oxford University Press, 1944. MR 0012121
- Claus Müller, Eine Formel der analytischen Zahlentheorie, Abh. Math. Sem. Univ. Hamburg 19 (1954), no. 1-2, 62–65 (German). MR 62178, DOI 10.1007/BF02941554 A. Oppenheim, Some identities in the theory of numbers, Proc. London Math. Soc. (2) 26 (1927), 295-350.
- Hans-Egon Richert, Über Dirichletreihen mit Funktionalgleichung, Acad. Serbe Sci. Publ. Inst. Math. 11 (1957), 73–124 (German). MR 92816 E. C. Titchmarsh, The theory of functions, 2nd ed., Clarendon Press, Oxford, 1939. —, Theory of Fourier integráls, 2nd ed., Clarendon Press, Oxford, 1948.
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
Bibliographic Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 137 (1969), 361-374
- MSC: Primary 30.24; Secondary 39.00
- DOI: https://doi.org/10.1090/S0002-9947-1969-0236360-1
- MathSciNet review: 0236360