On an Erdős–Straus type problem
By: Sagar Mandal
References
- Bradford, K. “A note on the Erdős–Straus conjecture.” Integers 21 (2021): Article A24. Cited on 6.
- Bradford, K., and E.J. Ionascu. “A geometric reduction of the Erdős–Straus conjecture.” Adv. Model. Optim. 17, no. 1 (2015): 41–54. Cited on 6.
- Croot, E.S., III. Unit Fractions. Ph.D. thesis, University of Georgia, 2000. Cited on 6.
- Elsholtz, C., and T. Tao. “Counting the number of solutions to the Erdős–Straus equation on unit fractions.” J. Aust. Math. Soc. 94, no. 1 (2013): 50–105. Cited on 6.
- Erdős, P. “Az 1/x1+···+1/xn=a/b egyenlet egész számú megoldásairól.” Mat. Lapok 1 (1950): 192–210. Cited on 6.
- Ionascu, E.J., and A. Wilson. “On the Erdős–Straus conjecture.” Rev. Roumaine Math. Pures Appl. 56, no. 1 (2011): 21–30. Cited on 6.
- Li, D. “On the equation 4/n=1/x+1/y+1/z.” J. Number Theory 13 (1981): 485–494. Cited on 6.
- Mordell, L.J. Diophantine Equations. London and New York: Academic Press, 1969. Cited on 6.
- Nielsen, P.P. “Odd perfect numbers, Diophantine equations, and upper bounds.” Math. Comp. 84, no. 295 (2015): 2549–2567. Cited on 14.
- Obláth, M.R. “Sur l’équation diophantienne 4/n=1/x1+1/x2+1/x3.” Mathesis 59 (1950): 308–316. Cited on 6.
- Rosati, L.A. “Sull’equazione diofantea 4/n=1/x1+1/x2+1/x3.” Boll. Unione Mat. Ital. 9, no. 1 (1954): 59–63. Cited on 6.
- Rosser, J.B., and L. Schoenfeld. “Approximate formulas for some functions of prime numbers.” Illinois J. Math. 6, no. 1 (1962): 64–94. Cited on 14.
- Sander, J.W. “On 4/n=1/x+1/y+1/z and Rosser’s sieve.” Acta Arith. 59, no. 2 (1991): 183–204. Cited on 6.
- Sander, J.W. “On 4/n=1/x+1/y+1/z and Iwaniec’ half dimensional sieve.” J. Number Theory 46 (1994): 123–136. Cited on 6.
- Sander, J.W. “Egyptian fractions and the Erdős–Straus conjecture.” Nieuw Arch. Wiskd. (4) 15 (1997): 43–50. Cited on 6.
- Terzi, D.G. “On a conjecture by Erdős–Straus.” Nordisk Tidskr. Informationsbehandling (BIT) 11 (1971): 212–216. Cited on 6.
- Vaughan, R.C. “On a problem of Erdős, Straus and Schinzel.” Mathematika 17, no. 2 (1970): 193–198. Cited on 6.
- Webb, W.A. “On 4/n=1/x+1/y+1/z.” Proc. Amer. Math. Soc. 25, no. 3 (1970): 578–584. Cited on 6.
- Yamamoto, K. “On the Diophantine equation 4/n=1/x+1/y+1/z.” Mem. Fac. Sci. Kyushu Univ. Ser. A 19, no. 1 (1965): 37–47. Cited on 6.
- Yang, X.Q. “A note on 4/n=1/x+1/y+1/z.” Proc. Amer. Math. Soc. 85, no. 4 (1982): 496–498. Cited on 6.
Language: English
Page range: 5 - 17
Submitted on: Sep 23, 2025
Accepted on: Apr 11, 2026
Published online: Jul 20, 2026
Published in print: Dec 1, 2026
Published by: Pedagogical University of Cracow
In partnership with: Paradigm Publishing Services
Keywords:
Related subjects:
© 2026 Sagar Mandal, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.