000 | 01238nam a2200229Ia 4500 | ||
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008 | 160627s1994||||xx |||||||||||||| ||und|| | ||
080 | _aUNM Th-46 | ||
100 |
_aPadma, R. _eauthor |
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245 | _aMean Value Theorems of Dirichlet Series | ||
260 | _c1994 | ||
300 | _aiv; 102p. | ||
502 | _a1994 | ||
502 | _bPh.D | ||
502 | _cUniversity of Madras | ||
520 | 3 | _aIn this thesis the researcher has proved the 'Mean Value theorems for a class of Dirichlet series' following Ramachandra's method. This method gives simple proof of known results, and infact gives an improvement of Good's result. This thesis consists of two chapters. An approximate functional equation for a class of Dirichlet series is derived; Ramachandra's proof of the Theorem of Montgomery and Vaughan is explained; Proof of the Main theorem and derivations of the results are given; Mean value theorems for two derivatives also is proved; And a brief survey of Zero density estimates is described. | |
650 | 1 | 4 | _aMathematics |
653 | 1 | 0 | _aDirichlet Series |
720 | 1 |
_aBalasubramanian, R. _eThesis advisor [ths] |
|
856 | _uhttp://www.imsc.res.in/xmlui/handle/123456789/70 | ||
942 |
_2THESIS24 _cTHESIS |
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999 |
_c48729 _d48729 |