Difference between revisions of "NTS ABSTRACT"

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| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Arunabha Biswas'''
 
| bgcolor="#F0A0A0" align="center" style="font-size:125%" | '''Arunabha Biswas'''
 
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| bgcolor="#BCD2EE"  align="center" | Limiting values of higher Mahler Measure and cyclotomic polynomials.
 
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| bgcolor="#BCD2EE"  |  We consider the k-higher Mahler measure m_k(P) of a Laurent polynomial P as the integral of log^k |P| over the complex unit circle. In number theory, Lehmer's conjecture and the appearance of higher Mahler measures in L-functions are the main sources of motivation for studying various properties of m_k(P). Beyond number theory, Mahler measure has connections with topological entropies of dynamical systems and polynomial knot invariants. In this talk I shall present (1) an explicit formula for the value of |m_k(P)|/k! as k approaches infinity, (2) some asymptotic results regarding m_k(P) and (3) a scheme to approximate special values of a class of L-functions.
  
 
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Revision as of 12:30, 31 August 2016

Return to NTS Spring 2016

Sep 8

Arunabha Biswas
Limiting values of higher Mahler Measure and cyclotomic polynomials.
We consider the k-higher Mahler measure m_k(P) of a Laurent polynomial P as the integral of log^k |P| over the complex unit circle. In number theory, Lehmer's conjecture and the appearance of higher Mahler measures in L-functions are the main sources of motivation for studying various properties of m_k(P). Beyond number theory, Mahler measure has connections with topological entropies of dynamical systems and polynomial knot invariants. In this talk I shall present (1) an explicit formula for the value of |m_k(P)|/k! as k approaches infinity, (2) some asymptotic results regarding m_k(P) and (3) a scheme to approximate special values of a class of L-functions.


Sep 15


Sep 22

Alex Smith
title coming soon
abstract coming soon


Sep 29

Steve Lester
title coming soon
abstract coming soon


Oct 6

Nicole Looper
title coming soon
abstract coming soon


Oct 13

Ling Long
title coming soon
abstract coming soon


Oct 20

Jack Klys
title coming soon
abstract coming soon


Oct 27

William Duke


Nov 3


Nov 10


Nov 17


Dec 1


Dec 8


Dec 15

Efrat Bank
Primes in short intervals on curves over finite fields
abstract coming soon