000 01238nam a2200229Ia 4500
008 160627s1994||||xx |||||||||||||| ||und||
080 _aUNM Th-46
100 _aPadma, R.
_eauthor
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
999 _c48729
_d48729