Timeline for Evolution of partial sum of a sequence of induced Dirichlet characters
Current License: CC BY-SA 3.0
4 events
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Mar 6, 2016 at 19:42 | comment | added | Bertrand | @Koukoulopoulos the only lower bound I found for this sequence of $Max$ is a constant (because the character are induced). For primitive character the $Max$ of partial sum increases with modulus (and lower bound depending on modulus exists) but for induced characters, what can we say ? | |
Mar 6, 2016 at 19:26 | comment | added | Bertrand | Dear Dimitris thanks for your help, you have shown that the upper bound can be improved, but is there an increasing lower bound ? I am intereseted to find in this sequence of character an infinite number having their $Max|(S(x,y)|$ lower than a fixed constant, do you think it is possible or realistic ? or the $Max$ is converging to infinity ? | |
Mar 3, 2016 at 23:09 | history | edited | Dimitris Koukoulopoulos | CC BY-SA 3.0 |
added 218 characters in body
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Mar 3, 2016 at 22:19 | history | answered | Dimitris Koukoulopoulos | CC BY-SA 3.0 |