Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography | Paper Citation Record

Observation cbfd8409-9593-48b0-916a-2658efbb0b64 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation b1cb0005-f821-4ece-bb4c-7e7ceb3744c3 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 234 –266

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Observation 725e6eb6-85cd-488e-9f9e-79040073d1e1 · outbound

This paper cites Logarithmic Density of Rank≥1and Rank≥2Genus-2 Jacobians and Applica- tions to Hyperelliptic Curve Cryptography.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Logarithmic Density of Rank≥1and Rank≥2Genus-2 Jacobians and Applica- tions to Hyperelliptic Curve Cryptography

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This paper cites Available online athttps://eprint.iacr.org/2024/2004.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Available online athttps://eprint.iacr.org/2024/2004

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This paper cites Bhargava and B.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Bhargava and B

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 2, 451–493

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Observation bb9ef348-e492-4b90-94d5-cee26fa79c2c · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 15, 2951–2989

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Observation f1f80966-eeff-497c-bba4-cf3f5e713803 · outbound

This paper cites 2, 575–582.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 2, 575–582

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Observation f7c6461d-c8b1-45ce-a24f-74942913d481 · outbound

This paper cites In preparation, preliminary version available online athttps://math.mit.edu/ ~drew/cavaret.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography In preparation, preliminary version available online athttps://math.mit.edu/ ~drew/cavaret

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography A, 235–254

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation 5f9d62b8-1e60-4f2c-a941-9572a2e55563 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 3, 245–261

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 1, 445–472

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 1, 147–154

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 18, 875–880

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation 6fe0338f-c970-4684-a7d8-6f5b3d54caaa · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 2, 237–252

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Observation 8957d5d0-f2be-4f11-8954-a81430e4caae · outbound

This paper cites Announce- ment to the Number Theory list server.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Announce- ment to the Number Theory list server

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Observation 2edf4d09-4494-4d7b-b4c5-b3019407053c · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Announcement to the Number Theory list

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation 32a60d2e-dc1a-4678-aaa8-94c16515f283 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 1-2, 53–55

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation d3e1a56a-de47-436e-96de-d4856749b913 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 2, 119–130

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 5, 959–983

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Observation bfe4904c-3789-4f02-afa9-9036d638355e · outbound

This paper cites Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two

Reference 26

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Observation 004d30e6-7647-4955-8f5d-2edfe0fac690 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 3, 705–761

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation ec2eec4f-7e3d-4e6f-b769-247bc20da485 · outbound

This paper cites 52, Springer- Verlag, New York, 1977.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 52, Springer- Verlag, New York, 1977

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 9, 3775–3786

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 12, 1219–1224

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Observation ef418d5e-f5bd-408d-a357-ebcb5fcc26bc · outbound

This paper cites [Online; accessed 15 January 2026].

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography [Online; accessed 15 January 2026]

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Observation 0e8b35d0-fb25-4569-9d30-94fa44b2a9d5 · outbound

This paper cites Lecture notes, Luxembourg Summer School on Galois representations, July 3–7, 2018.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Lecture notes, Luxembourg Summer School on Galois representations, July 3–7, 2018

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 8, 763– 764

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation 0b25a8d6-421c-4685-9b37-0b675a6be792 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 10, 2153–2234

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Observation 0e3b7261-c365-4f12-9503-70e08d128fb1 · outbound

This paper cites II, Birkh¨ auser, Boston, 1984.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography II, Birkh¨ auser, Boston, 1984

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Observation 77058dd9-24ac-483d-9d09-edfe5758f657 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation 8662ff1f-4ea5-4921-92b2-2996a79a90e5 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 1, 19–49

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 2, 230–250

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation 4f61fa12-dd2e-4d9f-a06b-c627a1a5d5d4 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Math.9(2000), no

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation 3fb519b7-6f83-4344-b8c6-f3cf1a161fa0 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography E15, Friedr

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 1, 15–21

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Observation 6f4d8a30-a580-4a2f-ba0a-f49471228b94 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 124– 134

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation d746d18f-bc0b-41e6-b11a-dcf7869048d2 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Unresolved cited work

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Observation 932eb229-931a-4f7b-b82f-6d9b77b52415 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 2, 183–206

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Observation 58bd03e4-e445-4cfa-8535-7d0f1a35b398 · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 2, 273–287

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Observation 7c81f70b-70b2-45ba-8196-3a79736f88aa · outbound

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Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Thesis, 2005

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This paper cites Bordeaux, 2025.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Bordeaux, 2025

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Observation 5472c65d-102f-417d-b21d-919c1df4d378 · outbound

This paper cites 1, 105–125.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 1, 105–125

Reference 59

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Observation 5e21c8b1-eb0e-4e61-bbc5-c090b4449e40 · outbound

This paper cites Alg` ebre et th´ eorie des nombres2(2014), 63–98.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography Alg` ebre et th´ eorie des nombres2(2014), 63–98

Reference 60

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Observation aa20bb48-0633-4f5e-9eff-f05a2782f4de · outbound

This paper cites 4, 1217–1250.

Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography 4, 1217–1250

Reference 61

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