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MSRI-UP 2014: Arithmetic Aspects of Elementary Functions June 21, 2014 - August 03, 2014

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Aug 01, 2014
09:00 AM - 09:05 AM
  Opening Remarks
Victor H. Moll (Tulane University)
09:05 AM - 09:40 AM
  Sequences of p-adic valuations of polynomial functions: an analysis of non-p-regularity and erratic behavior
Alyssa Byrnes (Tulane University), Isabelle Nogues (Princeton University), Amber Yuan (University of Chicago)
09:45 AM - 10:20 AM
  Catalan numbers modulo 2α
David Cervantes Nava (SUNY College at Potsdam), Erica Musgrave (Saint Mary's College of California), Gianluca Pane (Brown University)
10:30 AM - 11:05 AM
  Arithmetic properties of infinite products
Hadrian Quan (University of Washington; University of Illinois at Urbana-Champaign), Fernando Roman (Kansas State University), Michole Washington (University of Michigan)
01:00 PM - 01:35 PM
  On p-adic valuations of generalized Fibonacci sequences
Joseph Chavoya (California State University), Al Lucero (The Rand Corporation), Sean Reynolds (University of Chicago)
01:45 PM - 02:20 PM
  On p-adic limits of combinatorial sequences
Alexandra Michel (Mills College), Andrew Miller (University of Massachusetts, Amherst), Robert Rennie (University of Illinois at Urbana-Champaign)
02:30 PM - 03:05 PM
  On the divisibility and valuations of the Franel numbers
Abraham Schulte (Northwestern University), Samantha VanSchalkwyk (Mount Holyoke College), Adela Yang (Bowdoin College)