no. 2
On the mean values of an entire function represented by Dirichlet series
Annales de l'Institut Fourier, Tome 21 (1971) no. 2, pp. 31-34.

Pour des fonctions entières définies par des séries de Dirichlet, on démontre un théorème relatif à leurs valeurs moyennes, qui généralise des résultats de Kamthan, Juneya et Awasthi.

For entire functions defined by absolutely convergent Dirichlet series, a theorem on their mean values is established which include the results of Kamthan, Juneja and Awasthi.

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     title = {On the mean values of an entire function represented by {Dirichlet} series},
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Bajpai, S. K. On the mean values of an entire function represented by Dirichlet series. Annales de l'Institut Fourier, Tome 21 (1971) no. 2, pp. 31-34. doi : 10.5802/aif.371. http://www.numdam.org/articles/10.5802/aif.371/

[1] A. G. Azpeitia, On the maximum modulus and the maximum term of an entire Dirichlet series, Proc Amer. Math. Soc., 12 (1961), 717-721. | MR | Zbl

[2] E. Hille, Analytic function theory volume II ; Blaisdell Pub. Comp., 1962. | MR | Zbl

[3] P. K. Kamthan, On the mean values of entire functions represented by Dirichlet series ; Acta. Math. Acad. Sci. Hung., 15 (1964), 133-136. | MR | Zbl

[4] P. K. Kamthan, On the mean values of entire function represented by Dirichlet series, ibidem, 16 (1965), 89-92. | MR | Zbl

[5] P. K. Kamthan, On entire functions represented by Dirichlet series (IV) ; Ann. Inst. Fourier, Grenoble 16 (1966), 209-223. | Numdam | MR | Zbl

[6] O. P. Juneja, On the mean values of an entire function and its derivatives represented by Dirichlet series, Ann. Polon. Math., 18 (1966), 307-313. | MR | Zbl

[7] O. P. Juneja and K. N. Awasthi, On the mean values of an entire function and its derivatives represented by Dirichlet series II, Ann. Polon. Math., 22 (1969), 89-96. | MR | Zbl

[8] S. Mandelbrojt, Dirichlet series, Rice Inst. Pamph, 31, 4 (1944). | MR | Zbl

[9] K. Sugimura, Ubertragung einiger Satze aus der Theorie der ganzen Functionen auf Dirichletsche Reihen, Math. Z., 29 (1928-1929), 264-277. | JFM

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