The logarithm of the Siegel function

Daniel S. Kubert

Compositio Mathematica (1978)

  • Volume: 37, Issue: 3, page 321-338
  • ISSN: 0010-437X

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Kubert, Daniel S.. "The logarithm of the Siegel function." Compositio Mathematica 37.3 (1978): 321-338. <http://eudml.org/doc/89386>.

@article{Kubert1978,
author = {Kubert, Daniel S.},
journal = {Compositio Mathematica},
keywords = {Klein Form; Logarithm of Siegel Function; Transformation Formula},
language = {eng},
number = {3},
pages = {321-338},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {The logarithm of the Siegel function},
url = {http://eudml.org/doc/89386},
volume = {37},
year = {1978},
}

TY - JOUR
AU - Kubert, Daniel S.
TI - The logarithm of the Siegel function
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 37
IS - 3
SP - 321
EP - 338
LA - eng
KW - Klein Form; Logarithm of Siegel Function; Transformation Formula
UR - http://eudml.org/doc/89386
ER -

References

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  1. [1] U. Dieter: Das Verhalten der Kleinschen Funktionen log σ g,h(w1,w2) gegen über Modultransformationen und verallgemeinerte Dedekindschen Summen. J. Reine Angew. Math.201 (1959) 37-70. Zbl0085.02604
  2. [2] E. Grosswald and H. Rademacher: Dedekind Sums. Carus Math. Monographs, M.A.A.1972. Zbl0212.07701MR357299
  3. [3] D. Kubert and S. Lang: Units in the modular function field, Math. Ann: I (1975) 67-96; II (1975) 175-189; III (1975) 273-285; (IV to appear). Zbl0311.14005
  4. [4] A. Leuthbecher: "Über Automorphiefaktoren und die Dedekindschen Summen". Glasgow Math. J.11 (1970) 41-57. Zbl0214.30001MR319899
  5. [5] C. Meyer: "Bemerkungen zu den allgemeinen Dedekindscher Summen, J. Reine Angew. Math.205 (1960) 186-196. Zbl0097.26401MR124310
  6. [6] L.J. Mordell: "On the reciprocity formula for Dedekind Sums," Amer, J. Math., 73 (1951) 593-598. Zbl0042.27401MR42449
  7. [7] H. Rademacher: I "Zur Theorie der Modulfunktionen". J. Reine Angew. Math., 167 (1931) 312-366; Zbl0003.21501JFM58.0396.01
  8. H. Rademacher: II "Zur Theorie der Dedekindschen Summen", Math. Z.63 (1955/56) 445-463. Zbl0071.04201MR79615
  9. [9] B. Schoeneberg: "Elliptic Modular Functions". Springer-Verlag, Berlin-Heidelberg -New York1974. Zbl0285.10016MR412107
  10. [10] C.L. Siegel: Lectures on advanced analytic number theory, Tata Institute, 1961. Zbl0278.10001MR262150
  11. [11] K. Wohlfahrt: "Über Dedekindsche Summen und Untergruppen der Modulgruppe. Abh. Math. Sem. Univ. Hamburg23 (1959) 5-10. Zbl0086.06702MR102559

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