“Prime Representation”的概念、定义、习题解题方法及翻译-数学辞典

单词

Prime Representation

释义

Prime Representation

Let , , and denote Positive Integers satisfying

(i.e., both pairs are Relatively Prime), and suppose every Prime

with

is expressible ifthe form

for some Integers

and

. Then every Prime

such that

and

is expressible in the form

for some Integers

and

(Halter-Koch 1993, Williams1991).

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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