Hypergeometric functions over finite fields

"Building on the developments of many people including Evans, Greene, Katz, McCarthy, Ono, Roberts, and Rodriguez-Villegas, we consider period functions for hypergeometric type algebraic varieties over finite fields and consequently study hypergeometric functions over finite fields in a manner...

Ausführliche Beschreibung

Bibliographische Detailangaben

Hauptverfasser:	Fuselier, Jenny (VerfasserIn), Ling, Long 1962- (VerfasserIn), Ramakrishna, Ravi Kumar (VerfasserIn), Swisher, Holly (VerfasserIn), Tu, Fang-Ting (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Providence, RI American Mathematical Society 2022
Schriftenreihe:	Memoirs of the American Mathematical Society Volume 280, Number 1382 (fifth of 8 numbers)
Schlagworte:	Finite fields (Algebra) Hypergeometric functions Number theory > Finite fields and commutative rings (number-theoretic aspects) > Exponential sums Number theory > Finite fields and commutative rings (number-theoretic aspects) > Other character sums and Gauss sums Special functions > Hypergeometric functions > Classical hypergeometric functions, $_ Special functions > Hypergeometric functions > Generalized hypergeometric series, $_ Number theory > Discontinuous groups and automorphic forms > Galois representations Number theory > Algebraic number theory: local and $p$-adic fields > Zeta functions and $L$-functions
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