On some expansions of p-adic functions
J. Rutkowski (1988)
Acta Arithmetica
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J. Rutkowski (1988)
Acta Arithmetica
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Charles Wells (1967)
Acta Arithmetica
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L. Carlitz (1970)
Rendiconti del Seminario Matematico della Università di Padova
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Rolf Wallisser (2005)
Journal de Théorie des Nombres de Bordeaux
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Let be a nonconstant polynomial with integer coefficients and without zeros at the non–negative integers. Essentially with the method of Hermite, a new proof is given on linear independence of values at rational points of the function
L. Carlitz (1973)
Collectanea Mathematica
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D. V. Lee (1992)
Acta Arithmetica
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Introduction. The problem of determining the formula for , the number of partitions of an integer into elements of a finite set S, that is, the number of solutions in non-negative integers, , of the equation hs₁ s₁ + ... + hsk sk = n, was solved in the nineteenth century (see Sylvester [4] and Glaisher [3] for detailed accounts). The solution is the coefficient of[(1-xs₁)... (1-xsk)]-1, expressions for which they derived. Wright [5] indicated a simpler method by which to find part...
P Erdös, P Scherk (1959)
Acta Arithmetica
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