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A uniqueness theorem for the rademacher quasicharacter

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Up to a scalar factor, the Rademacher quasicharacter is defined unquely by an SL(2,Z)-dependent first-order differential on the upper complex half-plane.

Abstract

Up to a scalar factor, the Rademacher quasicharacter is defined unquely by an SL(2,Z)-dependent first-order differential on the upper complex half-plane.

참고문헌 (4)

  1. H. Rademacher, "Zur Theorie der Modulfunktionen", J. Reine Angew. Math, 167, pp.312~336 (1932)
  2. A. I. Shtern, "A pseudocharacter that is determined by the Rademacher symbol", Uspekhi Mat. Nauk, 45(3) (1990)
  3. H. Itˆo, "A function on the upper half space which is analogous to the imaginary part of log ´(z)", J. Reine Angew. Math, 373, pp.148~165 (1987)
  4. V. A. Faiziev, "Pseudocharacters of the group SL(2; Z), Funktsional", Anal. i Prilozhen, 26(4), pp.77~79 (1992)

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