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Research Output 2004 2018

  • 44 Citations
  • 4 h-Index
  • 14 Article
  • 1 Editorial
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
2006

Missouri Journal of Mathematical Sciences: Editorial

Goodman, T., Agrawal, O. P., Assem, I., Baeth, N., Di Benedetto, F., Benedict, J., Betti, R., Clark, S., Das, K., Dence, J. B., Dwilewicz, R., Dragomir, S. S., ElGuindy, A., Fahoome, G., Frontini, M., Groza, G., Hannah, J., Howard, J., Howie, J., Howington, E. & 23 others, Jones, D., Lanski, C., Le, V., McKee, R., Moreto, A., Nanyes, O., Redmond, D., Reynolds, B., Richardson, K., Robertson, L. D., Roe, R., Rose, D., Schultz, P., Shonhiwa, T., Smith, N. O., Srivastava, A., Thatcher, S., Veldsman, S., Haohao, W., Lianwen, W., Washington, L., Williams, K. & Yousef, M., Sep 2006, In : Missouri Journal of Mathematical Sciences. 18, 3

Research output: Contribution to journalEditorial

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