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a conjecture on a symmetric diagonal diophantine equation of degree six
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نویسنده
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jalali azar ,janfada ali s. ,shabani-solt hassan
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منبع
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journal of mathematical extension - 2021 - دوره : 15 - شماره : 4 - صفحه:1 -11
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چکیده
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In this paper, we conjecture that the symmetric diagonal diophantine equation x 6 + ky3 + k 0 z 3 = u 6 + kv3 + k 0w 3 has infinitely many nontrivial solutions for all rational numbers k and k 0 . this conjecture is proved for certain cases.
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کلیدواژه
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counting solutions of diophantine equations ,elliptic curves.
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آدرس
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urmia university, faculty of science, department of mathematics, iran, urmia university, faculty of science, department of mathematics, iran, urmia university, faculty of science, department of mathematics, iran
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پست الکترونیکی
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h.shabani.solt@gmail.com
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Authors
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