For more information about this meeting, contact Becky Halpenny.
| Title: | "Representation of Integers by a Family of Cubic Forms in Seven Variavbles" |
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| Seminar: | Ph.D. Thesis Defense |
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| Speaker: | Manoj Verma, Adviser: Robert C. Vaughan, Penn State |
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| Abstract Link: | http:// |
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| Abstract: |
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| We derive asymptotic formulas for the number of
representations of zero inside a box and the number of representations
of a large positive integer inside a box of suitable dimensions by
cubic forms that can be written as $L_1(x_1,x_2, x_3)Q_1(x_1,x_2, x_3)
+L_2 (x_4,x_5, x_6)Q_2 (x_4,x_5, x_6) + a_7x_7^3$
where $L_1$ and $L_2$ are linear forms, $Q_1$ and $Q_2$ are quadratic
forms and $a_7$ is a non-zero integer, under certain conditions on the
coefficients. |
Room Reservation Information
| Room Number: | 322 Sackett Building |
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| Date: | 01 / 31 / 2013 |
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| Time: | 09:30am - 11:00am |
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