Revised:
Accepted:
Published online:
Mayank Pandey 1
@article{CRMATH_2022__360_G5_419_0, author = {Mayank Pandey}, title = {Moment estimates for the exponential sum with higher divisor functions}, journal = {Comptes Rendus. Math\'ematique}, pages = {419--424}, publisher = {Acad\'emie des sciences, Paris}, volume = {360}, year = {2022}, doi = {10.5802/crmath.45}, language = {en}, }
Mayank Pandey. Moment estimates for the exponential sum with higher divisor functions. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 419-424. doi : 10.5802/crmath.45. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.45/
[1] norm of the Dirichlet Kernel Math StackExchange. https://math.stackexchange.com/questions/2031547 (version from 11-27-2016)
[2] Analytic number theory, Colloquium Publications, 53, American Mathematical Society, 2004, xi+615 pages | Zbl
[3] On exponential sums involving the Ramanujan function, Proc. Indian Acad. Sci., Math. Sci., Volume 97 (1987) no. 1-3, pp. 157-166 | DOI | MR
[4] Moment estimates for exponential sums over -free numbers, Int. J. Number Theory, Volume 9 (2013) no. 3, pp. 607-619 | DOI | MR | Zbl
[5] Correlations of the von Mangoldt and higher divisor functions I. Long shift ranges (2017) (https://arxiv.org/abs/1707.01315)
[6] On the Distribution of Generating Functions, Bull. Lond. Math. Soc., Volume 30 (1998) no. 2, pp. 113-122 | DOI | MR
Cited by Sources:
Comments - Policy