Article

# On the second smallest prime non-residue

Journal of Number Theory (Impact Factor: 0.52). 11/2010; DOI: 10.1016/j.jnt.2012.09.011

Source: arXiv

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- Mathematische Zeitschrift - MATH Z. 01/1931; 33(1):161-176.
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**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. · 0.51 Impact Factor - Transactions of The American Mathematical Society - TRANS AMER MATH SOC. 01/1927; 29(1):218-218.

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