Article
On an Arithmetic Function Connected With the Distribution of Supersingular Fermat Varieties
Authors
Abstract
For an integer m > 2, let δ(m) denote the asymptotic density of primes for which some power is congruent to −1 modulo m. This arithmetic function has a deep algebraic background as indicated in the title. The task ofthis paper is to obtain a precise asymptotic formula for the sum δ(m), 2<m≤x where x is a large real variable. Furthermore, an analogous result for higher power moments of δ(m) is established.
Keywords
Fermat curve, Jacobian variety, Euler totient function, primes.
Citation
Nowak, W. G. (2007). On an arithmetic function connected with the distribution of supersingular fermat varieties. Uniform Distribution Theory, 2(1), 11–21.
W. G. Nowak, “On an arithmetic function connected with the distribution of supersingular fermat varieties,” Uniform Distribution Theory, vol. 2, no. 1, pp. 11–21, 2007.
Nowak WG. On an arithmetic function connected with the distribution of supersingular fermat varieties. Uniform Distribution Theory. 2007;2(1):11–21.
Nowak, W. G. (2007), ‘On an arithmetic function connected with the distribution of supersingular fermat varieties’, Uniform Distribution Theory, 2(1), pp. 11–21.
Nowak, Werner Georg. “On an Arithmetic Function Connected with the Distribution of Supersingular Fermat Varieties.” Uniform Distribution Theory, vol. 2, no. 1, 2007, pp. 11–21.
Nowak, Werner Georg. “On an Arithmetic Function Connected with the Distribution of Supersingular Fermat Varieties.” Uniform Distribution Theory 2, no. 1 (2007): 11–21.
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Published by: Engineering Journals
