Cauchy multiplication and periodic functions (mod r)

Autores: Pentti Haukkanen, R. Sivaramakrishnan
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 1, 1991, págs. 33-44
Idioma: inglés
Títulos paralelos:
- Multiplicación de Cauchy y funciones periódicas (mod r)
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Resumen
- We analise periodic functions (mod r), keeping Cauchy multiplication as the basic tool, and pay particular attention to even functions (mod r) having the property f(n) = f((n,r)) for all n. We provide some new aspects into the Hilbert space structure of even functions (mod r) and make use of linera transformations to interpret the known number-theoretic formulae involving solutions of congruences.