On a pour est le premier coefficient de Fourier de forme de Maass correspondant à la valeur propre à laquelle le série de Hecke est attachée. Ce résultat fournit l’estimation nouvelle
We have for is the first Fourier coefficient of the Maass wave form corresponding to the eigenvalue to which the Hecke series is attached. This result yields the new bound
@article{JTNB_2001__13_2_453_0, author = {Ivi\'c, Aleksandar}, title = {On sums of {Hecke} series in short intervals}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {453--468}, publisher = {Universit\'e Bordeaux I}, volume = {13}, number = {2}, year = {2001}, mrnumber = {1879668}, zbl = {0994.11020}, language = {en}, url = {http://www.numdam.org/item/JTNB_2001__13_2_453_0/} }
Ivić, Aleksandar. On sums of Hecke series in short intervals. Journal de théorie des nombres de Bordeaux, Tome 13 (2001) no. 2, pp. 453-468. http://www.numdam.org/item/JTNB_2001__13_2_453_0/
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