Patterns of primes in the Sato–Tate conjecture
Abstract Fix a non-CM elliptic curve $$E/\mathbb {Q}$$E/Q, and let $$a_E(p) = p + 1 - \#E(\mathbb {F}_p)$$aE(p)=p+1-#E(Fp) denote the trace of Frobenius at p. The Sato–Tate conjecture gives the limiting distribution $$\mu _{ST}$$μST of $$a_E(p)/(2\sqrt{p})$$aE(p)/(2p) within $$[-1, 1]$$[-1,1]. We e...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer International Publishing
2021
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| Online Access: | https://hdl.handle.net/1721.1/131475 |