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Sur une propriété des polynômes de Nörlund

Farid Bencherif (2010)

Actes des rencontres du CIRM

In this paper, we prove a remarkable property of the coefficients of Nörlund’s polynomials obtained mainly from a result of J.-L. Chabert.

Sur une question de V.A. Lebesgue

Guy Terjanian (1987)

Annales de l'institut Fourier

Nous démontrons une conjecture de V.A. Lebesgue relative à l’équation diophantienne x 4 + x 3 y + x 2 y 2 + x y 2 + y 4 = 5 z 5 par une méthode élémentaire qui fournit également la solution de quelques autres équations.

Surjectivity of Siegel Φ -operator for square free level and small weight

Siegfried Böcherer, Tomoyoshi Ibukiyama (2012)

Annales de l’institut Fourier

We show the surjectivity of the (global) Siegel Φ -operator for modular forms for certain congruence subgroups of Sp ( 2 , ) and weight k = 4 , where the standard techniques (Poincaré series or Klingen-Eisenstein series) are no longer available. Our main tools are theta series and genus versions of basis problems.

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