The Nicolas and Robin inequalities with sums of two squares

Author:

Banks William D.,Hart Derrick N.,Moree Pieter,Wesley Nevans C.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference8 articles.

1. Choie Y.-J., Lichiardopol N., Moree P., Solé P.: On Robin’s criterion for the Riemann hypothesis. J. Théor Nombres Bord. 19, 351–366 (2007)

2. Gronwall T.H.: Some asymptotic expressions in the theory of numbers. Trans. Am. Math. Soc. 14, 113–122 (1913)

3. Lagarias J.C.: An elementary problem equivalent to the Riemann hypothesis. Am. Math. Mon. 109, 534–543 (2002)

4. Landau E.: Handbuch der Lehre von der Verteilung der Primzahlen. Teubner, Leipzig (1909)

5. Nicolas J.L.: Petites valeurs de la fonction d’Euler. J. Number Theory 17, 375–388 (1983)

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1. On Robin’s inequality;The Ramanujan Journal;2022-12-28

2. Large values of $n/\varphi (n)$ and $\sigma (n)/n$;Acta Arithmetica;2022

3. New results for witnesses of Robin’s criterion;MATH COMPUT;2021-09-04

4. Analogues of the Robin–Lagarias criteria for the Riemann hypothesis;International Journal of Number Theory;2020-09-30

5. A NEW UPPER BOUND FOR THE SUM OF DIVISORS FUNCTION;Bulletin of the Australian Mathematical Society;2017-08-14

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