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), pp. 311-315.

Zbl

@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},
     pages = {311--315},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {18},
     year = {1949},
     zbl = {0033.01202},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1949__18__311_0/}
}

TY  - JOUR
AU  - Bagchi, Haridas
TI  - 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 $a \lnot \equiv 0$, $b \lnot \equiv 0$, $c \lnot \equiv 0$, $d \lnot \equiv 0 \: (\text{mod. } p)$
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 1949
SP  - 311
EP  - 315
VL  - 18
PB  - Seminario Matematico of the University of Padua
UR  - http://archive.numdam.org/item/RSMUP_1949__18__311_0/
LA  - en
ID  - RSMUP_1949__18__311_0
ER  -

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%A Bagchi, Haridas
%T 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 $a \lnot \equiv 0$, $b \lnot \equiv 0$, $c \lnot \equiv 0$, $d \lnot \equiv 0 \: (\text{mod. } p)$
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1949
%P 311-315
%V 18
%I Seminario Matematico of the University of Padua
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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://archive.numdam.org/item/RSMUP_1949__18__311_0/