Bases for cyclotomic units

Robert Gold; Jaemoon Kim

Displaying similar documents to “Bases for cyclotomic units”

On the power-series expansion of a rational function

D. V. Lee (1992)

Acta Arithmetica

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Introduction. The problem of determining the formula for $P_{S} (n)$ , the number of partitions of an integer into elements of a finite set S, that is, the number of solutions in non-negative integers, $h_{s ₁}, . . ., h_{s_{k}}$ , 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 $x ⁿ i n$ [(1-xs₁)... (1-xsk)]-1, expressions for which they derived. Wright [5] indicated a simpler method by which to find part...

Some hypergeometric congruences

Carlitz, L. (1953)

Portugaliae mathematica

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Some formulas that enumerate certain partitions and graphs

Roger C. Grimson (1976)

Časopis pro pěstování matematiky

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Congruence properties of coefficients of certain algebraic power series

Matthijs Coster (1988)

Compositio Mathematica

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Kummer congruences for the coefficients of Hurwitz series

Chip Snyder (1982)

Acta Arithmetica

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A note on Gauss' "serierum singularium"

Carlitz, L. (1956)

Portugaliae mathematica

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Orthonormal bases for spaces of continuous and continuously differentiable functions defined on a subset of Zp.

Ann Verdoodt (1996)

Revista Matemática de la Universidad Complutense de Madrid

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Let K be a non-Archimedean valued field which contains Qp, and suppose that K is complete for the valuation |·|, which extends the p-adic valuation. Vq is the closure of the set {aqn | n = 0,1,2,...} where a and q are two units of Zp, q not a root of unity. C(Vq --> K) (resp. C1(Vq --> K)) is the Banach space of continuous functions (resp. continuously differentiable functions) from Vq to K. Our aim is to find orthonormal bases for C(Vq --> K) and C1(Vq -->...