Humbert Surfaces and Applications David Gruenewald ´ eRISCS-ESIL, Universit´

Source URL: echidna.maths.usyd.edu.au

• Mathematical analysis
• Mathematics
• Complex analysis
• Elliptic functions
• Riemann surfaces
• Moduli theory
• Theta function
• Modular form
• Moduli space
• Humbert surface
• Theta constant

Elliptic Curves Zeta Function Schoof’s Algorithm Point Counting Elliptic and Hyperelliptic Curves

Source URL: homes.esat.kuleuven.be

Deterministic wallets End Deterministic wallets Gregory Maxwell et. al.

Source URL: www.cs.technion.ac.il

• Public-key cryptography
• Elliptic Curve DSA
• Hash function
• Key
• Wallet
• Cryptographic nonce
• SHA-2
• Cryptography
• Bitcoin
• Peer-to-peer computing

CLASSICAL AND ELLIPTIC POLYLOGARITHMS AND SPECIAL VALUES OF L-SERIES Don Zagier and Herbert Gangl1 The Dirichlet class number formula expresses the residue at s = 1 of the Dedekind zeta function ζF (s) of an arbitrary a

Source URL: people.mpim-bonn.mpg.de

A GENERALIZED JACOBI THETA FUNCTION AND QUASIMODULAR FORMS Masanobu Kaneko and Don Zagier In this note we give a direct proof using the theory of modular forms of a beautiful

Source URL: people.mpim-bonn.mpg.de

• Mathematics
• Elliptic functions
• Q-analogs
• Analytic number theory
• Theta function
• Letter
• Mock modular form
• Symbol
• Mathematical analysis
• Complex analysis
• Modular forms

Introduction Related Works Proposal Hashing Conclusion How to Hash into Elliptic Curves Thomas Icart

Source URL: www.iacr.org

• Analytic number theory
• Elliptic curve
• Group theory
• Mathematics
• Hash function
• Cryptographic hash function
• Information retrieval
• Artificial intelligence
• Boneh/Franklin scheme
• Cryptography
• Search algorithms
• Hashing

Verified Indifferentiable Hashing into Elliptic Curves Gilles Barthe1 , Benjamin Gr´egoire2 , Sylvain Heraud2 , Federico Olmedo1, and Santiago Zanella-B´eguelin3 1

Source URL: certicrypt.gforge.inria.fr

• Functions and mappings
• Model theory
• Digital signal processing
• Dirac delta function
• Fourier analysis
• Interpretation
• Characteristic function
• Distribution
• Function
• Mathematical analysis
• Mathematics
• Generalized functions

Hash Function Requirements for Schnorr Signatures Gregory Neven1,2 , Nigel P. Smart3 , and Bogdan Warinschi3 1 IBM Research – Zurich, Switzerland

Source URL: www.neven.org

• Forking lemma
• Random oracle
• Preimage attack
• Digital signature
• Collision resistance
• Elliptic Curve DSA
• Standard model
• MD5
• Birthday attack
• Cryptography
• Cryptographic hash functions
• Schnorr signature

Elliptic surfaces with applications towards elliptic curves over function fields Bartosz Naskrecki, Universit¨at Bayreuth During the talk I would like to describe the interplay between elliptic curves over function fiel

Source URL: www.mathematik.uni-muenchen.de

Representation Theory and Arithmetic * Although some of the books of Hermann Weyl, especially those dealing with algebraic matters, are notoriously difficult, the papers on geometry and analysis were often models of eas

Source URL: www.sunsite.ubc.ca

• Automorphic forms
• Algebraic geometry
• Analytic number theory
• Langlands program
• Homological algebra
• Shimura variety
• Automorphic L-function
• Orthogonal group
• Elliptic curve
• Abstract algebra
• Mathematics
• Mathematical analysis