The estimations of lower order in terms of the sequences and for an entire Dirichlet series , have been obtained, namely :
One of these estimations improves considerably the estimations earlier obtained by Rahman (Quart. J. Math. Oxford, (2), 7, 96-99 (1956)) and Juneja and Singh (Math. Ann., 184(1969), 25-29 ).
Des estimations de l’ordre inférieur d’une série de Dirichlet
ont été obtenues en fonction des suites et .
Ces estimations améliorent considérablement celles obtenues précédemment par Rahman (Quart. J. Math. Oxford, (2), 7, 96-99 (1956)), Juneja et Singh (Math. Ann., 184 (1969), 25-29 ).
@article{AIF_1974__24_1_123_0, author = {Jain, P. K. and Jain, D. R.}, title = {On the lower order $(R)$ of an entire {Dirichlet} series}, journal = {Annales de l'Institut Fourier}, pages = {123--129}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {24}, number = {1}, year = {1974}, doi = {10.5802/aif.494}, zbl = {0273.30021}, mrnumber = {50 #7520}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.494/} }
TY - JOUR AU - Jain, P. K. AU - Jain, D. R. TI - On the lower order $(R)$ of an entire Dirichlet series JO - Annales de l'Institut Fourier PY - 1974 SP - 123 EP - 129 VL - 24 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.494/ UR - https://zbmath.org/?q=an%3A0273.30021 UR - https://www.ams.org/mathscinet-getitem?mr=50 #7520 UR - https://doi.org/10.5802/aif.494 DO - 10.5802/aif.494 LA - en ID - AIF_1974__24_1_123_0 ER -
Jain, P. K.; Jain, D. R. On the lower order $(R)$ of an entire Dirichlet series. Annales de l'Institut Fourier, Volume 24 (1974) no. 1, pp. 123-129. doi : 10.5802/aif.494. https://aif.centre-mersenne.org/articles/10.5802/aif.494/
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