NUMBER THEORY
******
HANDWRITTEN NOTES
BY SANJIBON HAZARIKA
,Lineou Diophatine Eanstjon
tby = e with
A ineo ewaUon
fO bto ilgen B called a
Wo wnkmown
wnooru diophoine uoJon
mdY.
ealad
A Pow lXagey
axtbye intan liophan
solatiyn
euatia
V re- o+byo = e
owe
epuat
A lineor diophomTina
mona2 M goltbn,
+7y -31 SLiSied
Fi anp
24, Y=1
Alko by 3,Y=4.
by =
Omd ao by = 17Y =2
sea h a t h a disphatin e
am We
solion
I5+5ly-14 hos
,U
t
o
T
, onde be
Not Let ato), b(bto)
GeD
tao idegn
near diaphomtine
d-(o,) Th
soltion iomd
ad + by = C
ey
on portieula
Fathan i ,9.
han
thor
thor
om
Solution ax
tby =C
+by = e
e
sotion
-
ond Y' =
Y. +t
SPp de
Proe
e e td
d =(a b
Ao, som
u v Ez
fon
d =a u + b v ,
= otu + btv
td
c
=
oltu) +btv)
=tu y =tv
stisfies axtby =e
solition
e
ant by =
. +by,.
s mwtipa.
O,+ by
kww hot
We therafone C nd
a,thy.
=
red
ds de
******
HANDWRITTEN NOTES
BY SANJIBON HAZARIKA
,Lineou Diophatine Eanstjon
tby = e with
A ineo ewaUon
fO bto ilgen B called a
Wo wnkmown
wnooru diophoine uoJon
mdY.
ealad
A Pow lXagey
axtbye intan liophan
solatiyn
euatia
V re- o+byo = e
owe
epuat
A lineor diophomTina
mona2 M goltbn,
+7y -31 SLiSied
Fi anp
24, Y=1
Alko by 3,Y=4.
by =
Omd ao by = 17Y =2
sea h a t h a disphatin e
am We
solion
I5+5ly-14 hos
,U
t
o
T
, onde be
Not Let ato), b(bto)
GeD
tao idegn
near diaphomtine
d-(o,) Th
soltion iomd
ad + by = C
ey
on portieula
Fathan i ,9.
han
thor
thor
om
Solution ax
tby =C
+by = e
e
sotion
-
ond Y' =
Y. +t
SPp de
Proe
e e td
d =(a b
Ao, som
u v Ez
fon
d =a u + b v ,
= otu + btv
td
c
=
oltu) +btv)
=tu y =tv
stisfies axtby =e
solition
e
ant by =
. +by,.
s mwtipa.
O,+ by
kww hot
We therafone C nd
a,thy.
=
red
ds de
