<i>p</i>-Adic Aspects of Modular Forms

Baskar Balasubramanyam; Haruzo Hida; A. Raghuram; Jacques Tilouine

doi:10.1142/9761

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p-Adic Aspects of Modular Forms

Baskar Balasubramanyam Haruzo Hida A. Raghuram Jacques Tilouine

Year: 2015 WORLD SCIENTIFIC eBooks Publisher: World Scientific

DOI: 10.1142/9761

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Abstract

In this short note we partially answer a question of Fukaya and Kato by constructing a q-expansion with coefficients in a non-commutative Iwasawa algebra whose constant term is a non-commutative p-adic zeta function. The author is supported by EPSRC First Grant EP/L021986/1

Keywords:

Commutative property Pure mathematics Mathematics Modular form Constant (computer programming) Algebra over a field Modular design Function (biology) Term (time) Commutative ring Riemann zeta function Computer science Physics Programming language Quantum mechanics

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Advanced Algebra and Geometry

Physical Sciences → Mathematics → Mathematical Physics

Algebraic Geometry and Number Theory

Physical Sciences → Mathematics → Geometry and Topology

Advanced Mathematical Identities

Physical Sciences → Mathematics → Algebra and Number Theory

p-Adic Aspects of Modular Forms

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