Junyao Peng

activity

20172020

most citedHeron triangle and rhombus pairs with a common area and a common perimeter

3 citations · 3 across the 2 of their papers we have counts for

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math.NT2019

Patterns of primes in the Sato-Tate conjecture

Nate Gillman, Michael Kural, Alexandru Pascadi +2

Fix a non-CM elliptic curve $E / Q$ , and let $a_{E} (p) = p + 1 - # E (F_{p})$ denote the trace of Frobenius at $p$ . The Sato-Tate conjecture gives the limiting distribut…

math.NT2017★ 3 cited

Heron triangle and rhombus pairs with a common area and a common perimeter

Yong Zhang, Junyao Peng

By Fermat's method, we show that there are infinitely many Heron triangle and $θ$ -integral rhombus pairs with a common area and a common perimeter. Moreover, we prove that there do…