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On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps
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Pages: 106
Authors: E. Delaygue
Categories: Mathematics
Type: BOOK - Published: 2017-02-20 - Publisher: American Mathematical Soc.

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Using Dwork's theory, the authors prove a broad generalization of his famous -adic formal congruences theorem. This enables them to prove certain -adic congruen
2017 MATRIX Annals
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​MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through in
Special Values of the Hypergeometric Series
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Type: BOOK - Published: 2017-07-13 - Publisher: American Mathematical Soc.

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In this paper, the author presents a new method for finding identities for hypergeoemtric series, such as the (Gauss) hypergeometric series, the generalized hyp
Induction, Bounding, Weak Combinatorial Principles, and the Homogeneous Model Theorem
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Goncharov and Peretyat'kin independently gave necessary and sufficient conditions for when a set of types of a complete theory is the type spectrum of some homo
The Stability of Cylindrical Pendant Drops
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The author considers the stability of certain liquid drops in a gravity field satisfying a mixed boundary condition. He also considers as special cases portions