Mr. Theophilus Agama

Researcher
Department of Mathematics, University of Ghana, Accra, Ghana

Highest Degree
M.Sc. in Mathematical Sciences from African Institute for Mathematical Science, South Africa

My URL
https://livedna.org/233.37202

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Biography

Theophilus Agama is a mathematical inventor, a problem solver and an independent researcher. He works primarily in algebra and allied areas including number theory, discrete mathematics, discrete geometry, analysis, algebra and combinatorics. In as much as he is a problem solver, he is also an ardent theory builder. He combines both of these skills in tackling unsolved problems in the field.

Area of Interest:

Mathematics
Algebra
Discrete Mathematics
Geometry
Probabilistic Combinatorics

Selected Publications

  1. Agama, T., 2023. On the topology of problems and their solutions. AfricArXiv Preprints, 10.14293/111.000/000058.v1.
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  2. Agama, T., 2023. An upper bound for the Erd\H{o}s unit distance problem in the plane. AfricArXiv Preprints. DOI: 10.14293/111.000/000056.v1.

  3. Alam, T., 2022. On the general Erd\H{o}s-Moser equation via the notion of olloids. AfricArXiv Preprints. DOI: 10.14293/111.000/000043.v1.

  4. Agama, T., 2022. The theory of the Collatz process and the method of dynamical balls. Gen. Math., 10.48550/arXiv.1910.13828.
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  5. Agama, T., 2022. The ehrhart volume conjecture is false in sufficiently higher dimensions in Rn Afr. Inst. Math. Sci., 10.14293/111.000/000027.v1.
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  6. Agama, T., 2022. On the theory of problems and their solution spaces. AfricArXiv Prepr., 10.14293/111.000/000051.v1.
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  7. Agama, T., 2022. On the number of points included in a plane figure with large pairwise distances : On the number of points included in a plane figure. AfricArXiv Prepr., 10.14293/111.000/000034.v1.
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  8. Agama, T., 2022. On the method of surgery and applications : surgery. AfricArXiv Prepr., 10.14293/111.000/000030.v1.
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  9. Agama, T., 2022. On odd perfect numbers. AfricArXiv Preprints. DOI: 10.14293/111.000/000046.v1.

  10. Agama, T., 2022. On a set avoiding solutions of the Erd\H{o}s-Straus equation : Erd\H{o}s-Straus equation. AfricArXiv Prepr., 10.14293/111.000/000045.v1.
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  11. Agama, T., 2022. On a related Thompson problem in $\mathbb{R}^k$. AfricArXiv Prepr., 10.14293/111.000/000039.v1.
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  12. Agama, T., 2022. On a conjecture of Erd\H{o}s on additive basis of large orders : On a conjecture of Erd\H{o}s. AfricArXiv Prepr., 10.14293/111.000/000050.v1.
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  13. Agama, T., 2022. On a certain inequality on addition chains. AfricArXiv Preprints. DOI: 10.14293/111.000/000040.v1.

  14. Agama, T., 2022. Multivariate expansivity theory and Pierce-Birkhoff conjecture. Classical Ana. ODEs., 10.48550/arXiv.2011.03523.
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  15. Agama, T., 2022. A proof of the twin prime conjecture. Gen. Math., 10.48550/arXiv.1707.03265.
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  16. Agama, T., 2022. On the flint hill series. Gen. Math., 10.48550/arXiv.2109.00295.
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  17. Agama, T., 2022. An extension of the Erdos-Turan additive base conjecture via generalized circles of partition. Mathematics, 10.48550/arXiv.1707.05679.
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  18. Agama, T. and B. Gensel, 2022. The asymptotic binary goldbach and lemoine conjectures. AfricArXiv Preprints, 10.14293/111.000/000052.v1.
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  19. Agama, T., 2021. The outer product and outer product space. Operators Matrices, 15: 1575-1580.
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  20. Agama, T., 2021. Simple close curve magnetization and application to bellman’s lost in the forest problem. Int. J. Pure Appl. Math. Res., 1: 48-54.
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  21. Agama, T., 2021. On the shortest addition chain of numbers of special forms. Math. Gen. Math., 10.48550/arXiv.2108.07720.
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  22. Agama, T., 2021. On the general no-three-in-line problem. Math. Comb., 10.48550/arXiv.2106.15621.
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  23. Agama, T., 2021. On the Gap sequence and Gilbreath's conjecture. Math. Comb., 10.48550/arXiv.2104.05258.
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  24. Agama, T., 2021. On a function modeling an l-step self avoiding walk. AKCE Int. J. Graphs Comb., 18: 158-165.
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  25. Agama, T., 2021. An inequality of multiple integral of s norm of vectors in Rn. Gener. Math. 10.48550/arXiv.2212.00071.
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  26. Agama, T. and B. Gensel, 2021. Studies in additive number theory by circles of partition. Gen. Math., 10.48550/arXiv.2012.01329.
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  27. Agama, T., M. Bortolamasim and A. Tapia, 2020. The prime pairs are equidistributed among the coset lattice congruence classes. Math. Number Theory, 10.48550/arXiv.2001.00163.
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  28. Agama, T., 2020. Ulam numbers have zero density. Math. Number Theory, 10.48550/arXiv.2007.02697.
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  29. Agama, T., 2020. The spanning method and the Lehmer totient problem. Math. Gen. Math., 10.48550/arXiv.2003.13055.
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  30. Agama, T., 2020. The prime index function. Indian J. Pure Appl. Math., 51: 1195-1202.
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  31. Agama, T., 2020. On the pointwise periodicity of multiplicative and additive functions. Math. Number Theory, 10.48550/arXiv.2005.13217.
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  32. Agama, T., 2020. On the distribution of addition chains. Math. Number Theory, 10.48550/arXiv.2004.05221.
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  33. Agama, T., 2020. On the Erdős-Turán additive base conjecture. Math. Gen. Math., 10.48550/arXiv.2010.11857.
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  34. Agama, T., 2020. On the Erdős distance problem. Math. Metric Geom., 10.48550/arXiv.2002.00502.
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  35. Agama, T., 2020. Complete sets. Indian J. Pure Appl. Math., 51: 817-824.
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  36. Agama, T., 2020. An improved lower bound of Heilbronn's triangle problem Math. Number Theory, 10.48550/arXiv.2006.05269.
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  37. Agama, T., 2019. The theory of the Collatz process and the method of dynamical balls. Gen. Math., 10.48550/arXiv.1910.13828.
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  38. Agama, T., 2019. The theory of ramification. Math. Number Theory, 10.48550/arXiv.1904.09835.
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  39. Agama, T., 2019. The area method and applications. Math. Gen. Math., 10.48550/arXiv.1903.09257.
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  40. Agama, T., 2019. The Compression method and applications. Math. Number Theory, 10.48550/arXiv.1912.08075.
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  41. Agama, T., 2019. Limited polynomials and sendov's conjecture. Math. Classical Anal. ODEs, 10.48550/arXiv.1903.01578.
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  42. Agama, T., 2019. Improved estimate for the prime counting function. Turk. J. Anal. Number Theory, 7: 1-4.
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  43. Agama, T., 2019. Expansivity theory and proof of Sendovs conjecture. Math. Rings Algebras, 10.48550/arXiv.1907.12825.
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  44. Agama, T., 2019. Distribution of boundary points of expansion and application to the lonely runner conjecture. Math. Comb., 10.48550/arXiv.1908.02153.
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  45. Agama, T., 2018. The diagonalization method and Brocard's problem. Math. Gen. Math., 10.48550/arXiv.1803.09155.
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  46. Agama, T., 2018. On a certain identity involving the Gamma function. Mathematics, 9: 1-5.
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  47. Agama, T., 2018. On the number of monic admissible polynomials in the ring Z[x]. Mathematics, 10.48550/arXiv.1807.10122.
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  48. Agama, T. and G. Kibiti, 2018. Balanced matrices. Math. Rings Algebras, 10.48550/arXiv.1810.07542.
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  49. Agama, T., 2017. On the proximity of multiplicative functions to the function counting prime factors with multiplicity. Math. Number Theory, 10.48550/arXiv.1706.08646.
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  50. Agama, T., 2017. A proof of the union-close set conjecture. Math. Gen. Math., 10.48550/arXiv.1711.02665.
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  51. Agama, T., 2017. A progress on the binary Goldbach conjecture. Math. Number Theory, 10.48550/arXiv.1706.09803.
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Member since December, 2021