Motivic coaction on generalized hypergeometric functions

Thesis

This thesis deals with the motivic coaction and single-valued map for hypergeometric functions. It is known that hypergeometric functions have series expansions whose coefficients can be expressed in terms of multiple zeta values and multiple polylogarithms, the classical Beta function being a motivating example. Multiple zeta values are examples of periods, complex numbers that can be expressed as algebraically defined integrals, and exhibit an action under the motivic Galois group, leadi...

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Authors: Kamlesh, D

• DOI: 10.5287/ora-jxeqqdx8k
• Type of award: DPhil
• Level of award: Doctoral
• Awarding institution: University of Oxford
• Language: English
• Keywords: motivic coaction; Drinfeld associator; configuration space integrals; Feynman integrals; single-valued map; multiple zeta values; periods; multiple polylogarithms; hypergeometric functions; string amplitudes
• Subjects: Special functions; Mathematics; Number theory; Mathematical physics