Cauchy multiplication and periodic functions (mod r).

Haukkanen, 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 -