Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-12T00:50:45.684101Z
Paper Citation Record · LEDGER
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1}
As of 11 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2607.03662.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
33 of 33 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e404f512-6003-46bf-a166-cf879d10e938 · outbound
This paper cites On the sumset of the primes and a linear recurrence.Acta Arith., 161(1):33–46, 2013.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On the sumset of the primes and a linear recurrence.Acta Arith., 161(1):33–46, 2013
Reference 1
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 19ca6a39-b217-4c04-9902-a47ccd2dbf37 · outbound
This paper cites A conjecture of Erd˝ os onp+ 2 k.Israel J.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} A conjecture of Erd˝ os onp+ 2 k.Israel J
Reference 2
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1b93d516-05fa-47cb-96d1-e881077172c5 · outbound
This paper cites The minimal common difference of Erd˝ os’ infinite arithmetic progressions.Acta Math.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} The minimal common difference of Erd˝ os’ infinite arithmetic progressions.Acta Math
Reference 3
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 690fc0b3-a1d6-457c-b381-b2763c56e2b8 · outbound
This paper cites On Romanoff’s constant.Journal of Number Theory, 106(2):275– 284, 2004.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On Romanoff’s constant.Journal of Number Theory, 106(2):275– 284, 2004
Reference 4
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1621bea1-7290-429d-9035-5bb048fe83fb · outbound
This paper cites The sum of a prime and a term of exponential sequences.Acta Math.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} The sum of a prime and a term of exponential sequences.Acta Math
Reference 5
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba03f1b5-1fde-47ae-b0ff-c1ef29ef84e0 · outbound
This paper cites Some computational results on a conjecture of de Polignac about numbers of the formp+ 2 k.J.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Some computational results on a conjecture of de Polignac about numbers of the formp+ 2 k.J
Reference 6
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba3c05a4-f9c0-4d57-9946-1a23e6b21e7b · outbound
This paper cites Arithmetic progressions not containing numbers of the formp+F n.The Fibonacci Quarterly, 63(2):336–344, 2025.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Arithmetic progressions not containing numbers of the formp+F n.The Fibonacci Quarterly, 63(2):336–344, 2025
Reference 7
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08afa463-08fe-4a41-9d1b-8ce5a80cba34 · outbound
This paper cites Polynomial analogue of Erd˝ os extension of the Romanoff theorem.J.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Polynomial analogue of Erd˝ os extension of the Romanoff theorem.J
Reference 8
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15518414-30c1-4b03-aea8-27c04c9acab7 · outbound
This paper cites de Polignac.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} de Polignac
Reference 9
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Unavailable: canonical work link unavailable.
Observation 5fabc113-60b4-4947-82c9-d779e190cdae · outbound
This paper cites On computing the density of integers of the form 2 n +p.Mathematics of Computation, 89(325):2365–2386, 2020.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On computing the density of integers of the form 2 n +p.Mathematics of Computation, 89(325):2365–2386, 2020
Reference 10
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation baec4ee3-7d38-4d68-bc7c-1b074f004b4c · outbound
This paper cites Extending an Erd˝ os result on a Romanov type problem.Archiv der Mathematik, 118(6):587–592, 2022.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Extending an Erd˝ os result on a Romanov type problem.Archiv der Mathematik, 118(6):587–592, 2022
Reference 11
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5dba048b-6553-4da1-bf72-0399ee5af363 · outbound
This paper cites On a problem of Romanoff type.Acta Arith., 205(1):53–62, 2022.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On a problem of Romanoff type.Acta Arith., 205(1):53–62, 2022
Reference 12
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b972999-df83-4631-b5f1-c50fb30c240f · outbound
This paper cites A generalization of the Romanoff theorem.International Journal of Number Theory, 22(01):163–173, 2026.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} A generalization of the Romanoff theorem.International Journal of Number Theory, 22(01):163–173, 2026
Reference 13
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3840b004-c9cc-44d9-bc9c-d17be971a2b2 · outbound
This paper cites Sums of primes and quadratic linear recurrence sequences.Acta Math.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Sums of primes and quadratic linear recurrence sequences.Acta Math
Reference 14
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Unavailable: canonical work link unavailable.
Observation e5426a3d-4937-4453-8271-8929a6fa1490 · outbound
This paper cites On Romanov’s constant.Mathematische Zeitschrift, 288(3):713–724, 2018.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On Romanov’s constant.Mathematische Zeitschrift, 288(3):713–724, 2018
Reference 15
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33b44b3e-c79d-481f-9d21-2fc8e6fbd594 · outbound
This paper cites On integers of the form 2k +pand some related problems.Summa Brasil.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On integers of the form 2k +pand some related problems.Summa Brasil
Reference 16
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82e275ef-b809-4d36-963e-e8d4af203647 · outbound
This paper cites Some of my favourite problems in number theory, combinatorics, and geometry.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Some of my favourite problems in number theory, combinatorics, and geometry
Reference 17
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 21ad922f-afbb-4eb0-9a46-f6ba3d8c78fc · outbound
This paper cites On integers of the formp+2k.Acta Arith., 122(1):45–50, 2006.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On integers of the formp+2k.Acta Arith., 122(1):45–50, 2006
Reference 18
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8af62dca-5c83-4415-ad4a-a754bb438c25 · outbound
This paper cites An effective version of the Bombieri-Vinogradov theorem, and applications to Chen’s theorem and to sums of primes and powers of two.Arch.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} An effective version of the Bombieri-Vinogradov theorem, and applications to Chen’s theorem and to sums of primes and powers of two.Arch
Reference 19
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1d2274be-3297-4d9c-8edd-0dcfb95cccc7 · outbound
This paper cites Halberstam and H.-E.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Halberstam and H.-E
Reference 20
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Observation fdf23c6f-b266-4bf2-947f-2ccd86ab75fa · outbound
This paper cites An update on the Linnik--Goldbach problem.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} An update on the Linnik--Goldbach problem
Reference 21
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac4f09ca-008a-435d-b955-7b4076a45881 · outbound
This paper cites an unresolved cited work.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Unresolved cited work
Reference 22
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0dc5f759-e4e9-4fd9-8a7f-591c74419230 · outbound
This paper cites The Romanoff theorem revisited.Acta Arithmetica, 135:137–142, 2008.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} The Romanoff theorem revisited.Acta Arithmetica, 135:137–142, 2008
Reference 23
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8648eab3-10c8-4fdd-a388-ba7ba66d5dfc · outbound
This paper cites The sum of a prime and a Fibonacci number.Int.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} The sum of a prime and a Fibonacci number.Int
Reference 24
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2c064319-759f-460b-9b87-3794e8943893 · outbound
This paper cites On Romanoff’s constant and its generalized problem.Adv.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On Romanoff’s constant and its generalized problem.Adv
Reference 25
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- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 95d6ddf8-9a5d-49c9-9627-13ed680ee8f5 · outbound
This paper cites an unresolved cited work.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Unresolved cited work
Reference 26
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- no resolver link, observed 2026-07-12T00:50:45.684101Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d3cdb85-48b0-438b-9982-56600855daff · outbound
This paper cites Computations concerning primes and powers of two.Calcolo, 20(3):319–336, 1983.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Computations concerning primes and powers of two.Calcolo, 20(3):319–336, 1983
Reference 27
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- no resolver link, observed 2026-07-12T00:50:45.684101Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e8eba61-e405-4d92-b938-6b0f7730d20a · outbound
This paper cites Uber einige s¨ atze der additiven zahlentheorie.Math.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Uber einige s¨ atze der additiven zahlentheorie.Math
Reference 28
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bcf82e32-109f-49bb-9db4-5e0cb9c1990a · outbound
This paper cites An explicit polynomial analogue of Romanoff’s theorem.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} An explicit polynomial analogue of Romanoff’s theorem
Reference 29
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9c8a533-03a2-40c0-9cd9-e475a04639cf · outbound
This paper cites Integers of the formp+a k.J.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} Integers of the formp+a k.J
Reference 30
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Observation 86945636-5038-4ef5-a2de-e19a95238b73 · outbound
This paper cites American Mathematical Soc., 2015.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} American Mathematical Soc., 2015
Reference 31
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Observation 5f5f0fb3-0ae7-42d4-bf2c-cd3706b1faa0 · outbound
This paper cites On de Polignac’s conjecture.Simon Stevin, 27:99–105, 1950.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On de Polignac’s conjecture.Simon Stevin, 27:99–105, 1950
Reference 32
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dff7b097-af75-4303-b2b2-72059d8b60b0 · outbound
This paper cites On the sum of a Fibonacci number and a prime.Int.
A Romanoff-type theorem for $P_2$+{$a^a$: a$\ge$ 1} On the sum of a Fibonacci number and a prime.Int
Reference 33
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Pith citing papers
No inbound Pith citation observations are available.