The density of primes dividing a term in the Somos-5 sequence

Davis Bryant; Kotsonis Rebecca; Rouse Jeremy

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The density of primes dividing a term in the Somos-5 sequence

机译：素数的密度除以Somos-5序列中的一项

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The Somos-5 sequence is defined by and for . We relate the arithmetic of the Somos-5 sequence to the elliptic curve and use properties of Galois representations attached to to prove the density of primes dividing some term in the Somos-5 sequence is equal to .

机译：Somos-5序列由和定义。我们将Somos-5序列的算术与椭圆曲线联系起来，并使用Galois表示的性质来证明在Somos-5序列中除以某项的素数密度等于。

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《Proceedings of the American Mathematical Society. Series B》 |2017年第2期|共16页
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Davis Bryant; Kotsonis Rebecca; Rouse Jeremy;
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中图分类数学;
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2. PRIMES IN A PRESCRIBED ARITHMETIC PROGRESSION DIVIDING THE SEQUENCE {a~k + b~k}_k~∞=1 [J] . P. MOREE, B. SURY International Journal of Number Theory . 2009,第4期

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7. The density of primes dividing a term in the Somos-5 sequence [O] . Davis, Bryant, Kotsonis, Rebecca, Rouse, Jeremy 2015

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The density of primes dividing a term in the Somos-5 sequence

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