@incollection{AST_1992__209__265_0,
author = {Meurman, Tom},
title = {A simple proof of {Voronoi's} identity},
booktitle = {Journ\'ees arithm\'etiques de Gen\`eve - 9-13 septembre 1991},
editor = {Coray D. F. and P\'etermann Y.-F. S},
series = {Ast\'erisque},
pages = {265--274},
year = {1992},
publisher = {Soci\'et\'e math\'ematique de France},
number = {209},
mrnumber = {1211020},
zbl = {0788.11042},
language = {en},
url = {https://www.numdam.org/item/AST_1992__209__265_0/}
}
TY - CHAP AU - Meurman, Tom TI - A simple proof of Voronoi's identity BT - Journées arithmétiques de Genève - 9-13 septembre 1991 AU - Collectif ED - Coray D. F. ED - Pétermann Y.-F. S T3 - Astérisque PY - 1992 SP - 265 EP - 274 IS - 209 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_1992__209__265_0/ LA - en ID - AST_1992__209__265_0 ER -
%0 Book Section %A Meurman, Tom %T A simple proof of Voronoi's identity %B Journées arithmétiques de Genève - 9-13 septembre 1991 %A Collectif %E Coray D. F. %E Pétermann Y.-F. S %S Astérisque %D 1992 %P 265-274 %N 209 %I Société mathématique de France %U https://www.numdam.org/item/AST_1992__209__265_0/ %G en %F AST_1992__209__265_0
Meurman, Tom. A simple proof of Voronoi's identity, dans Journées arithmétiques de Genève - 9-13 septembre 1991, Astérisque, no. 209 (1992), pp. 265-274. https://www.numdam.org/item/AST_1992__209__265_0/
1. , Identities involving the coefficients of a class of Dirichlet series I, Trans. Amer. Math. Soc. 137 (1969), 345-359. | MR | Zbl | DOI
2. , The Voronoi summation formula, in "The theory of arithmetic functions," Lect. Notes Math. 251, pp. 21-36, Springer, 1972. | MR | Zbl | DOI
3. and , Functional equations with multiple gamma factors and the average order of arithmetical functions, Ann. Math. 76 (1962), 93-136. | MR | Zbl | DOI
4. , "Arithmetical functions," Springer, 1970. | MR | Zbl | DOI
5. and , Lattice point summation formulae, Quart. J. Math. 2 (1931), 31-54. | Zbl | JFM | DOI
6. , On the expression of a number as the sum of two squares, Quart. J. Math. 46 (1915), 263-283. | JFM
7. , On Dirichlet's divisor problem, Proc. London Math. Soc. 15 (1916), 1-25. | JFM | MR
8. , A note on the Voronoi summation formula, Mh. Math. 87 (1979), 1-14. | MR | Zbl | EuDML | DOI
9. , "The Riemann zeta-function," John Wiley & Sons, 1985. | MR | Zbl
10. , "Lectures on a method in the theory of exponential sums," Tata Institute of Fundamental Research, Lectures on mathematics and physics 80, Springer, 1987. | Zbl
11. , Über das Konvergenzgebiet einer mit der Riemannschen Zetafunktion zusammenhängenden Reihe, Math. Ann. 97 (1927), 251-290. | JFM | EuDML | DOI
12. , On exponential sums involving the Fourier coefficients of Maass wave forms, J. reine angew. Math. 384 (1988), 192-207. | Zbl | EuDML
13. , "Lectures on the Riemann-Siegel formula," Ulam. Seminar, Dept. Math., Colorado Univ., Boulder, 1987.
14. , Some identities in the theory of numbers, Proc. London Math. Soc. 26 (1927), 295-350. | JFM | DOI
15. , "Neue Anwendung der Pfeifferschen Methode bei Dirichlets Teilerproblem," Thesis, Göttingen, 1922. | JFM
16. , Sur une fonction transcendante et ses applications à la sommation de quelques séries, Ann. Ecole Norm. Sup. 21 (1904), 207-267, 459-533. | JFM | Numdam | EuDML | DOI
17. , "A treatise on the theory of Bessel functions (2nd ed.)," Cambridge Univ. Press, 1951. | Zbl






