For more information about this meeting, contact Becky Halpenny.

Title: | "Representation of Integers by a Family of Cubic Forms in Seven Variavbles" |

Seminar: | Ph.D. Thesis Defense |

Speaker: | Manoj Verma, Adviser: Robert C. Vaughan, Penn State |

Abstract Link: | http:// |

Abstract: |

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 |

Date: | 01 / 31 / 2013 |

Time: | 09:30am - 11:00am |