Sums of three squares along arithmetic progressions
UNT Graduate Algebra Group
Speaker: Ethan MalmerDate: November 26, 2019
Location: GAB 439A
Abstract: Let r(n) be the number of triples (x,y,z) such that x^2+y^2+z^2=n. Let g be a positive integer, and let A mod M be any congruence class containing a squarefree integer. We will generalize a result from Cho using ideal class groups and class numbers. That is, there are infinitely many squarefree positive integers n equivalent to A mod M for which g divides r(n).
Fall 2019 Schedule
September 3 | Invariants of Landweber-Stong reflection groups modulo Frobenius powers | Chelsea Drescher |
September 17 | Group theory qual practice | Thomas Calkin |
September 24 | Introduction to deformation theory | Naomi Krawzik |
October 8 | Classification of graded Hecke algebras | Naomi Krawzik |
October 15 | Classification of graded Hecke algebras | Naomi Krawzik |
October 22 | Group theory qual practice | Dillon Hanson, Naomi Krawzik, Colin Lawson |
October 29 | Invariant differential forms | Dillon Hanson |
November 5 | An introduction to Hochshild cohomology and deformations | Colin Lawson |
November 26 | Sums of three squares along arithmetic progressions | Ethan Malmer |
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