Article

# On the second smallest prime non-residue

11/2010; DOI: 10.1016/j.jnt.2012.09.011

Source: arXiv

- Citations (8)
- Cited In (0)

- Mathematische Zeitschrift - MATH Z. 01/1931; 33(1):161-176.
- [Show abstract] [Hide abstract]

**ABSTRACT:**In [2] E. Dobrowolski and K.S. Williams considered a problem of obtaining estimates for the sum n=a+1 a+N f(n),for a certain class of functions f. One specific application of their result is a new method for estimating character sums. In particular, they obtain a form of the Plya-Vinogradov inequality with the constant 1/(2 log 2). In this note we improve their estimates and obtain, in particular, a form of the Plya-Vinogradov inequality with the constant 1/(3 log 3). A nice feature of our estimate is that it is obtained by a very simple argument.The Ramanujan Journal 02/2001; 5(1):65-71. · 0.49 Impact Factor - Transactions of The American Mathematical Society - TRANS AMER MATH SOC. 01/1927; 29(1):218-218.

Data provided are for informational purposes only. Although carefully collected, accuracy cannot be guaranteed. The impact factor represents a rough estimation of the journal's impact factor and does not reflect the actual current impact factor. Publisher conditions are provided by RoMEO. Differing provisions from the publisher's actual policy or licence agreement may be applicable.