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Merge pull request #62 from andrew-yoo/patch-1
Update constant 33a
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constants/33a.md

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- <a id="DM2013"></a>**[DM2013]** Duursma, Iwan; Mak, Koon-Ho. *On lower bounds for the Ihara constants $A(2)$ and $A(3)$.* Compositio Mathematica **149** (2013), 1108–1128. DOI: [10.1112/S0010437X12000796](https://doi.org/10.1112/S0010437X12000796). [Google Scholar](https://scholar.google.com/scholar?q=On+lower+bounds+for+the+Ihara+constants+A%282%29+and+A%283%29+Duursma+Mak). [arXiv PDF](https://arxiv.org/pdf/1102.4127.pdf)
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- <a id="DM2013-weil-bound"></a>**[DM2013-weil-bound]**
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**loc:** arXiv v4 PDF p.1, Section 1 (Introduction).
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**quote:** “It is well-known that the Weil bound $\#X(\mathbb{F}_q) \le q + 1 + 2g\sqrt{q}$ is not sharp if $g$ is large compared to $q$.”
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**quote:** “It is well-known that the Weil bound $\\# X(\mathbb{F}_q) \le q + 1 + 2g\sqrt{q}$ is not sharp if $g$ is large compared to $q$.”
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- <a id="DM2013-def-Nqg"></a>**[DM2013-def-Nqg]**
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**loc:** arXiv v4 PDF p.1, Section 1 (Introduction).
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**quote:** “Put $N_q(g) := \max \#X(\mathbb{F}_q)$, where the maximum is taken over all curves $X/\mathbb{F}_q$ with genus $g$.”
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**quote:** “Put $N_q(g) := \max \\#X(\mathbb{F}_q)$, where the maximum is taken over all curves $X/\mathbb{F}_q$ with genus $g$.”
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- <a id="DM2013-def-Aq"></a>**[DM2013-def-Aq]**
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**loc:** arXiv v4 PDF p.1, Section 1 (Introduction).
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**quote:** “The Ihara constant is defined by $A(q) := \limsup_{g\to\infty} N_q(g)/g$.”

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