Prime Representation
المؤلف:
Halter-Koch, F.
المصدر:
"A Theorem of Ramanujan Concerning Binary Quadratic Forms." J. Number. Theory 44
الجزء والصفحة:
...
12-10-2020
915
Prime Representation
Let 
, 
, and 
denote positive integers satisfying
(i.e., both pairs are relatively prime), and suppose every prime 
with 
is expressible if the form 
for some integers 
and 
. Then every prime 
such that 
and 
is expressible in the form 
for some integers 
and 
(Halter-Koch 1993, Williams 1991).
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REFERENCES:
Berndt, B. C. Ramanujan's Notebooks, Part IV. New York: Springer-Verlag, pp. 70-73, 1994.
Halter-Koch, F. "A Theorem of Ramanujan Concerning Binary Quadratic Forms." J. Number. Theory 44, 209-213, 1993.
Williams, K. S. "On an Assertion of Ramanujan Concerning Binary Quadratic Forms." J. Number Th. 38, 118-133, 1991.
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