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\relax \@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}Three important transforms : Mellin, Fourier and $\theta $ associated with the Riemann hypothesis}{12}} \@writefile{toc}{\contentsline {section}{\numberline {3}Quasi-fixed points of ${\cal F}$ and (RH)}{13}} \@writefile{toc}{\contentsline {section}{\numberline {4}From (RH)-quasi-fixed to (RH)-fixed points of ${\cal F}$}{24}} \@writefile{toc}{\contentsline {section}{\numberline {5}The Proof of the Riemann Hypothesis}{39}} \bibcite{[AAR]}{1} \bibcite{2}{2} \bibcite{3}{3} \bibcite{3a}{4} \bibcite{4}{5} \bibcite{5}{6} \bibcite{6}{7} \bibcite{7}{8} \bibcite{8}{9} \bibcite{9}{10} \bibcite{10}{11} \bibcite{10a}{12} \bibcite{11}{13} \bibcite{12}{14} \bibcite{13}{15} \bibcite{14}{16} \bibcite{14}{17} \bibcite{15}{18} \bibcite{16}{19} \bibcite{17}{20} \bibcite{17a}{21} \bibcite{17b}{22} \bibcite{18}{23} \bibcite{20}{24} \bibcite{21}{25} \bibcite{21a}{26} \bibcite{22}{27} \bibcite{22a}{28} \bibcite{23}{29} \bibcite{24}{30} \bibcite{25}{31} \bibcite{26}{32} \bibcite{27}{33} \bibcite{28}{34} \bibcite{29}{35} \bibcite{30}{36} \bibcite{31}{37} \bibcite{32}{38} \bibcite{33}{39} \bibcite{33a}{40} \bibcite{34}{41}