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Research Output 2004 2018

  • 44 Citations
  • 4 h-Index
  • 14 Article
  • 1 Editorial
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Article
2018
Explicit Formula
Polynomials
Hecke Operators
Modular Forms
Coefficient

Log-algebraic identities on Drinfeld modules and special L-values

Chang, C. Y., ElGuindy, A. & Papanikolas, M. A., 1 Apr 2018, In : Journal of the London Mathematical Society. 97, 2, p. 125-144 20 p.

Research output: Contribution to journalArticle

Drinfeld Modules
Linear Forms
Transcendental
Polynomial ring
L-function
2016
1 Citation (Scopus)

On certain coefficients of Drinfeld-Goss eigenforms with power eigenvalues

ElGuindy, A. & Petrov, A., 1 Dec 2016, In : Research in Number Theory. 2, 1, 10.

Research output: Contribution to journalArticle

Eigenvalue
Hecke Operators
Difference Operator
Modular Forms
Coefficient
2015
1 Citation (Scopus)

On symmetric powers of τ-recurrent sequences and deformations of eisenstein series

ElGuindy, A. & Petrov, A., 2015, In : Proceedings of the American Mathematical Society. 143, 8, p. 3303-3318 16 p.

Research output: Contribution to journalArticle

Eisenstein Series
Modular Forms
Equality
Series
2014
7 Citations (Scopus)

Identities for Anderson generating functions for Drinfeld modules

ElGuindy, A. & Papanikolas, M. A., 2014, In : Monatshefte fur Mathematik. 173, 4, p. 471-493 23 p.

Research output: Contribution to journalArticle

Drinfeld Modules
Generating Function
Algebraic Independence
Transcendence
Series
1 Citation (Scopus)

Legendre Drinfeld modules and universal supersingular polynomials

ElGuindy, A., 2014, In : International Journal of Number Theory. 10, 5, p. 1277-1289 13 p.

Research output: Contribution to journalArticle

Drinfeld Modules
Legendre
Polynomial
Elliptic Curves
Normal Form

On the atkin polynomials

ElGuindy, A. & Ismail, M. E. H., 2014, In : Pacific Journal of Mathematics. 272, 1, p. 111-130 20 p.

Research output: Contribution to journalArticle

Orthogonal Polynomials
Polynomial
Associated Polynomials
Jacobi Polynomials
9 Citations (Scopus)

Unimodularity of zeros of period polynomials of Hecke eigenforms

ElGuindy, A. & Raji, W., 2014, In : Bulletin of the London Mathematical Society. 46, 3, p. 528-536 9 p.

Research output: Contribution to journalArticle

Period Function
Unit circle
Polynomial
Zero
2013
6 Citations (Scopus)

Explicit formulas for Drinfeld modules and their periods

ElGuindy, A. & Papanikolas, M. A., Jun 2013, In : Journal of Number Theory. 133, 6, p. 1864-1886 23 p.

Research output: Contribution to journalArticle

Drinfeld Modules
Logarithm
Explicit Formula
Series Expansion
Generalise
2 Citations (Scopus)

Functional definitions for q-analogues of Eulerian functions and applications

ElGuindy, A. & Mansour, Z., 2013, In : Aequationes Mathematicae. 85, 1-2, p. 69-110 42 p.

Research output: Contribution to journalArticle

Q-gamma Function
Q-analogue
Functional equation
Quotient
Beta function
4 Citations (Scopus)

Hasse invariants for the Clausen elliptic curves

ElGuindy, A. & Ono, K., 2013, In : Ramanujan Journal. 31, 1-2, p. 3-13 11 p.

Research output: Contribution to journalArticle

Truncation
Elliptic Curves
Gauss Hypergeometric Function
Invariant
Hypergeometric Functions
2010
2 Citations (Scopus)

Gauss's 2F1 hypergeometric function and the congruent number elliptic curve

ElGuindy, A. & Ono, K., 2010, In : Acta Arithmetica. 144, 3, p. 231-239 9 p.

Research output: Contribution to journalArticle

Legendre Curve
Congruent numbers
Gauss Hypergeometric Function
Hypergeometric Functions
Elliptic Curves
2009
8 Citations (Scopus)

Fourier expansions with modular form coefficients

ElGuindy, A., Dec 2009, In : International Journal of Number Theory. 5, 8, p. 1433-1446 14 p.

Research output: Contribution to journalArticle

Fourier Expansion
Modular Forms
Coefficient
Modular Curves
Meromorphic
2004
3 Citations (Scopus)

Weierstrass points on X0(pM) and supersingular j-invariants

ElGuindy, A., Aug 2004, In : Journal of the London Mathematical Society. 70, 1, p. 1-22 22 p.

Research output: Contribution to journalArticle

Weierstrass Point
p.m.
Invariant
Modulo
Wronskian