# Meeting Details

Title: "Representation of Integers by a Family of Cubic Forms in Seven Variavbles" Ph.D. Thesis Defense Manoj Verma, Adviser: Robert C. Vaughan, Penn State http:// 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 01 / 31 / 2013 09:30am - 11:00am