# Cauchy multiplication and periodic functions (mod r).

Pentti Haukkanen; R. Sivaramakrishnan

Collectanea Mathematica (1991)

- Volume: 42, Issue: 1, page 33-44
- ISSN: 0010-0757

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topHaukkanen, Pentti, and Sivaramakrishnan, R.. "Cauchy multiplication and periodic functions (mod r).." Collectanea Mathematica 42.1 (1991): 33-44. <http://eudml.org/doc/42426>.

@article{Haukkanen1991,

abstract = {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.},

author = {Haukkanen, Pentti, Sivaramakrishnan, R.},

journal = {Collectanea Mathematica},

keywords = {Funciones periódicas; Funciones aritméticas; Espacios de Hilbert; Funciones par; Ramanujan sums; periodic functions mod ; even functions mod ; Hilbert space structure; solutions of congruences},

language = {eng},

number = {1},

pages = {33-44},

title = {Cauchy multiplication and periodic functions (mod r).},

url = {http://eudml.org/doc/42426},

volume = {42},

year = {1991},

}

TY - JOUR

AU - Haukkanen, Pentti

AU - Sivaramakrishnan, R.

TI - Cauchy multiplication and periodic functions (mod r).

JO - Collectanea Mathematica

PY - 1991

VL - 42

IS - 1

SP - 33

EP - 44

AB - 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.

LA - eng

KW - Funciones periódicas; Funciones aritméticas; Espacios de Hilbert; Funciones par; Ramanujan sums; periodic functions mod ; even functions mod ; Hilbert space structure; solutions of congruences

UR - http://eudml.org/doc/42426

ER -

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