Formules sommatoires, distributions périodiques et applications arithmétiques, I
Séminaire de théorie des nombres de Grenoble, Volume 5  (1975-1977), Talk no. 4, 44 p.
@article{STNG_1975-1977__5__A4_0,
     author = {Joly, Jean-Ren\'e},
     title = {Formules sommatoires, distributions p\'eriodiques et applications arithm\'etiques, I},
     journal = {S\'eminaire de th\'eorie des nombres de Grenoble},
     publisher = {Institut des Math\'ematiques Pures - Universit\'e Scientifique et M\'edicale de Grenoble},
     volume = {5},
     year = {1975-1977},
     note = {talk:4},
     language = {fr},
     url = {http://www.numdam.org/item/STNG_1975-1977__5__A4_0}
}
Joly, Jean-René. Formules sommatoires, distributions périodiques et applications arithmétiques, I. Séminaire de théorie des nombres de Grenoble, Volume 5 (1975-1977) , Talk no. 4, 44 p. http://www.numdam.org/item/STNG_1975-1977__5__A4_0/

[1] Apostol T.M. - Introduction to Analytic Number Theory, Springer (1976). | MR 434929 | Zbl 1154.11300

[2] Ayoub R. - An introduction to the Analytic Theory of Numbers, A.M.S. Survey n° 10 (1963). | MR 160743 | Zbl 0128.04303

[3] Berndt B.C. - The Voronoï Summation Formula. Theory of Arithmetic Functions, Lecture Notes n° 251, Springer (1972). | MR 352030 | Zbl 0228.10023

[4] Berndt B.C. - Character Analogue of the Poisson and Euler-Maclaurin Summation Formulas with Applications. J. Number Theory 7 (1975), 413-445. | MR 382187 | Zbl 0316.10023

[5] Berndt B.C. - Periodic Bernoulli Numbers, Summation Formulas and Applications. Theory and Application of Special Functions, Academic Press (1976). | MR 389729 | Zbl 0326.10016

[6] Berndt B.C. - Classical Theorems on Quadratic Residues. Enseign. math. 12 (1976), 261-304. | MR 441835 | Zbl 0337.10031

[7] Berndt B.C. + Schoenfeld L. - Periodic Analogues of the Euler-Maclaurin and Poisson Summation Formulas with Applications to Number Theory. Acta arithm. 28 (1975), 23-68. | MR 384713 | Zbl 0268.10008

[8] Borevich Z. + Shafarevich I.R. - Number Theory, Academic Press (1966). | MR 195803 | Zbl 0145.04902

* [9] Bourbaki N. - Fonctions d'une variable réelle. Chap. VI, Hermann (1960).

* [10] Davenport H. - Multiplicative Number Theory, Markham (1967). | MR 217022 | Zbl 0159.06303

[11] Davenport H. - On the series for L(1). J. London Math. Soc. 24 (1949), 229-233. | MR 31514 | Zbl 0034.02502

* [12] Dieudonne J. - Calcul infinitésimal, Hermann (1960). | Zbl 0155.10001

* [13] Edwards N.M. - Riemann's Zeta Function, Academic Press (1974). | Zbl 0315.10035

* [14] Hardy G.H. - Divergent Series, Oxford (1967). | MR 30620 | Zbl 0032.05801

[15] Haselgrove C.B. + Davies D. - The Evaluation of Dirichlet L-functions. Proc. Royal Soc. London 264 (1961), 122-132. | MR 136052 | Zbl 0109.03102

[16] Huxley N.M. - The Distribution of Prime Numbers, Oxford (1972). | Zbl 0248.10030

[17] Iwasawa K. - Lectures on p-adic L-functions, Princeton (1969). | MR 269627 | Zbl 0236.12001

[18] Joly J.R. - Petite analyse de Fourier et évaluation de L(1,χ) paquet par paquet. Sém. Th. Nombres, Grenoble (1975/76).

[19] Joly J.R. - Suites périodiques, linéarité et inégalité de Polya. Bull. Sc. Math., 101 (1977), à paraître. | Zbl 0384.10019

[20] Joly J.R. - Formules sommatoires, distributions périodiques et applications à la Théorie des Nombres, II. Sém. Th. Nombres, Grenoble, à paraître.

[21] Lang S. - Elliptic Functions. Addison-Wesley (1973). | MR 409362 | Zbl 0316.14001

[22] Lang S. - Introduction to Modular Forms. Springer (1976). | MR 429740 | Zbl 0344.10011

* [23] Mordell J.L. - Some Applications of Fourier Series in the Analytic Theory of Numbers. Proc. Cambridge Phil. Soc. 24 (1928), 585-596. | JFM 54.0196.02

[24] Polya G. - Ueber die Verteilung der Quadratische Reste und Nichtreste. Nachr. Ges. Wiss. Göttingen (1918), 21-29. | JFM 46.0265.02

* [25] Rademacher H. - Topics in Analytic Number Theory. Springer (1966). | MR 364103 | Zbl 0253.10002

[26] Rosser B. + Schoenfeld L. - Approximations of the Riemann zetafunction. A paraître.

[27] Zemanian A.H. - Distribution Theory and Transform Analysis. Mc Graw + Hill (1965). | MR 177293 | Zbl 0127.07201

[28] Valiron G. - Théorie des Fonctions. Vol. 1, Masson (1966). | MR 40421 | Zbl 0028.20801

[29] Weil A. - Elliptic Functions according to Eisenstein and Kronecker. Springer (1976). | MR 562289 | Zbl 0955.11001