Note on the two congruences $ax^2 + by^2 + e \equiv 0$, $ax^2 + by^2 + cz^2 + dw^2 \equiv 0 \: (\text{mod. } p)$, where $p$ is an odd prime and $a \lnot \equiv 0$, $b \lnot \equiv 0$, $c \lnot \equiv 0$, $d \lnot \equiv 0 \: (\text{mod. } p)$

Bagchi, Haridas

Note on the two congruences

a x^{2} + b y^{2} + e \equiv 0

a x^{2} + b y^{2} + c z^{2} + d w^{2} \equiv 0 (mod. p)

, where

p

is an odd prime and

a \neg \equiv 0

b \neg \equiv 0

c \neg \equiv 0

d \neg \equiv 0 (mod. p)

Bagchi, Haridas

Rendiconti del Seminario Matematico della Università di Padova, Tome 18 (1949), p. 311-315 / Harvested from Numdam

Access to full text
Full (PDF)
Full (DJVU)

Publié le : 1949-01-01

Zbl 0033.01202

@article{RSMUP_1949__18__311_0,
     author = {Bagchi, Haridas},
     title = {Note on the two congruences $ax^2 + by^2 + e \equiv 0$, $ax^2 + by^2 + cz^2 + dw^2 \equiv 0 \: (\text{mod. } p)$, where $p$ is an odd prime and $a \lnot \equiv 0$, $b \lnot \equiv 0$, $c \lnot \equiv 0$, $d \lnot \equiv 0 \: (\text{mod. } p)$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     volume = {18},
     year = {1949},
     pages = {311-315},
     zbl = {0033.01202},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RSMUP_1949__18__311_0}
}

Bagchi, Haridas. Note on the two congruences $ax^2 + by^2 + e \equiv 0$, $ax^2 + by^2 + cz^2 + dw^2 \equiv 0 \: (\text{mod. } p)$, where $p$ is an odd prime and $a \lnot \equiv 0$, $b \lnot \equiv 0$, $c \lnot \equiv 0$, $d \lnot \equiv 0 \: (\text{mod. } p)$. Rendiconti del Seminario Matematico della Università di Padova, Tome 18 (1949) pp. 311-315. http://gdmltest.u-ga.fr/item/RSMUP_1949__18__311_0/