JC
John Campbell
math.NTmath.COmath.CAcs.AIcs.FLhep-thmath.CVmath.GMmath.HOmath.RT
On Valency
published · living versionsW_kk6drhmm·v1 · currentpublished
Ramanujan Challenge Results: AI-Assisted Evaluation Pipeline for Multi-Format Proofs
with Alan Sorani, Ashvni Narayanan, Michael Shalyt, Tali Monderer +6
1 version
Preprints & journals
42 papers in the corpus · 2010–2026On a problem on partitions into distinct primes2610.19534v1 · John M. Campbell2026 · 0 citationsarXiv
Gosper's and Ramanujan's infinite products and generalizations2610.03238v1 · Jean-Paul Allouche, John M. Campbell, Simon R. Holcombe et al.2026 · 0 citationsarXiv
The finitude of the fibers of the complementary Bell numbers2608.00575v1 · John M. Campbell2026 · 0 citationsarXiv
Disproofs of two conjectures concerning nondeficient numbers2607.11043v1 · John M. Campbell2026 · 0 citationsarXiv
The Ramanujan Challenge For AI2607.09721v1 · Michael Shalyt, Rotem Kalisch, Carsten Schneider et al.2026 · 0 citationsarXiv
On a conjecture on -antichains in the unit -cube2606.28606v1 · John M. Campbell2026 · 0 citationsarXiv
On a problem on a generalization of Euler's totient function2606.01633v1 · John M. Campbell2026 · 0 citationsarXiv
On the binary digits of the Erdős-Borwein constant2605.24160v1 · John M. Campbell2026 · 0 citationsarXiv
On divisor sums due to Erdős and Ramanujan2605.00695v2 · John M. Campbell2026 · 0 citationsarXiv
A further q-analogue of Gosper's strange series2603.24845v1 · John M. Campbell, Yuka Yamaguchi2026 · 0 citationsarXiv
Abelian-normal decimal expansions2603.04396v2 · John M. Campbell2026 · 0 citationsarXiv
The construction of -analogues via -series and -difference equations2602.14314v1 · John M. Campbell2026 · 0 citationsarXiv
Quadratic irrational analogues of Ramanujan's series for 2602.09352v1 · John M. Campbell, Shaun Cooper, Dongxi Ye2026 · 0 citationsarXiv
Lexical tableaux and quasisymmetric functions2511.00713v1 · John M. Campbell, Spencer Daugherty2025 · 0 citationsarXiv
-analogues of -formulas due to Ramanujan and Guillera2509.05897v1 · John M. Campbell2025 · 1 citationarXiv
Partition algebras as monoid algebras2507.14313v1 · John M. Campbell2025 · 0 citationsarXiv
A generalization of Deterministic Finite Automata related to discharging2506.14072v1 · John M. Campbell2025 · 0 citationsarXiv
Extensions of the truncated pentagonal number theorem2504.04697v1 · John M. Campbell2025 · 0 citationsarXiv
Three-parameter generalizations of formulas due to Guillera2502.15249v1 · John M. Campbell2025 · 0 citationsarXiv
Quasi-immanants2501.15667v1 · John M. Campbell2025 · 0 citationsarXiv
Schur-hooks and Bernoulli number recurrences2412.18368v2 · John M. Campbell2024 · 0 citationsarXiv
On the minimal polynomials of the arguments of dilogarithm ladders2412.00991v1 · John M. Campbell2024 · 0 citationsarXiv
A lift of chromatic symmetric functions to 2410.04669v1 · John M. Campbell2024 · 0 citationsarXiv
A Schur-Weyl duality analogue based on a commutative bilinear operation2406.02478v1 · John M. Campbell2024 · 0 citationsarXiv
Hypergeometric accelerations with shifted indices2405.02776v1 · John M. Campbell2024 · 2 citationsarXiv
New Evaluations of Inverse Binomial Series via Cyclotomic Multiple Zeta Values2403.16945v2 · John M. Campbell, M. Lawrence Glasser, Yajun Zhou2024 · 2 citationsSIGMA 20 (2024), 079, 14 pages
Multiple elliptic integrals and differential equations2403.07298v1 · John M. Campbell, M. Lawrence Glasser, Yajun Zhou2024 · 0 citationsarXiv
On a Ramanujan-type series associated with the Heegner number 1632402.08485v1 · John M. Campbell2024 · 0 citationsarXiv
Applications of the icosahedral equation for the Rogers-Ramanujan continued fraction2402.02546v1 · John M. Campbell2024 · 0 citationsarXiv
Proofs of conjectures on Ramanujan-type series of level 32310.05112v1 · John M. Campbell2023 · 0 citationsarXiv
A generalization of immanants based on partition algebra characters2309.16647v1 · John M. Campbell2023 · 3 citationsCan. Math. Bull. 67 (2024) 1001-1010
On two-term hypergeometric recursions with free lower parameters2305.00626v2 · John M. Campbell, Paul Levrie2023 · 4 citationsarXiv
New Clebsch-Gordan-type integrals involving threefold products of complete elliptic integrals2302.05819v1 · John M. Campbell2023 · 2 citationsarXiv
A lift of West's stack-sorting map to partition diagrams2301.00926v1 · John M. Campbell2023 · 1 citationPacific J. Math. 324 (2023) 227-248
Applications of a class of transformations of complex sequences2212.13305v1 · John M. Campbell2022 · 1 citationarXiv
On a problem involving the squares of odd harmonic numbers2206.05026v2 · John M. Campbell, Paul Levrie, Ce Xu et al.2022 · 7 citationsRama .J. Math. 2023
Generalizations and variants of Knuth's old sum2205.05905v1 · Arjun K. Rathie, John M. Campbell2022 · 1 citationarXiv
On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier-Legendre expansions1710.03221v4 · John M. Campbell, Jacopo D'Aurizio, Jonathan Sondow2017 · 35 citationsarXiv
An Integral Representation of Kekulé Numbers, and Double Integrals Related to Smarandache Sequences1105.3399v1 · John M. Campbell2011 · 0 citationsarXiv
Ramanujan-Type Series Related to Clausen's Product1010.1941v3 · John M. Campbell2010 · 0 citationsarXiv
Double Series Involving Binomial Coefficients and the Sine Integral1009.0236v2 · John M. Campbell2010 · 0 citationsarXiv
A Cosine Integral Series Representation of the Euler-Mascheroni Constant1008.4379v2 · John M. Campbell2010 · 0 citationsarXiv
Career total: 96 works. 42 are in this corpus.
Profile built from the corpus for this byline.
Author records are still filling in while the Hub is in alpha. If this is your page, you'll be able to claim it soon. Spot a mistake? Tell us.