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Stephan Garcia

WM Keck Distinguished Service Professor and Professor of Mathematics

Pomona College

United States

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About

Stephan Garcia is the WM Keck Distinguished Service Professor and Professor of Mathematics at Pomona College, USA. His research focuses on numerical semigroups, matrix equations, and operator theory, as evidenced by his recent publications. His work examines the mathematical properties of matrices and polynomials, contributing insights into both theoretical and applied mathematics.

Articles (21)

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Collaborators (4)

Frederic Latremoliere

Full Professor (tenured)

University of Denver

UNITED STATES

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Jeffrey Lagarias

Professor

University of Michigan

UNITED STATES

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Florian Luca

Professor

Stellenbosch University

SOUTH AFRICA

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Ethan Lee

Lecturer in Computational Mathematics

UWE, Bristol

UNITED KINGDOM

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Stephan Garcia

Research Interests

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About

Articles (21)

Numerical semigroups from rational matrices III: semigroups of matricial dimension two and a counterexample to the lonely element conjecture

NUMERICAL SEMIGROUPS FROM RATIONAL MATRICES II: MATRICIAL DIMENSION DOES NOT EXCEED MULTIPLICITY

The Matrix Equation X 3 + Y 3 = 2 Z 3

Norms on complex matrices induced by random vectors II: extension of weakly unitarily invariant norms

The strongly Leibniz property and the Gromov–Hausdorff propinquity

A WORD FROM…

Norms on complex matrices induced by random vectors

SYMMETRIC AND ANTISYMMETRIC TENSOR PRODUCTS FOR THE FUNCTION-THEORETIC OPERATOR THEORIST

The error term in the truncated Perron formula for the logarithm of an L-function

AN EFFECTIVE ANALYTIC FORMULA FOR THE NUMBER OF DISTINCT IRREDUCIBLE FACTORS OF A POLYNOMIAL

Explicit estimates for Artin L-functions: Duke's short-sum theorem and Dedekind zeta residues

FROBENIUS––RIEFFEL NORMS ON FINITE–DIMENSIONAL C*–ALGEBRAS

Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups

Composites in the Ulam Spiral

FACTORIZATION LENGTH DISTRIBUTION for AFFINE SEMIGROUPS III: MODULAR EQUIDISTRIBUTION for NUMERICAL SEMIGROUPS with ARBITRARILY MANY GENERATORS

Factorization length distribution for affine semigroups II: Asymptotic behavior for numerical semigroups with arbitrarily many generators

Multidimensional Schinzel-type theorems for multiplicative functions near prime tuples

Weighted means of B-splines, positivity of divided differences, and complete homogeneous symmetric polynomials

Block Matrices in Linear Algebra

Primitive root bias for twin primes II: Schinzel-type theorems for totient quotients and the sum-of-divisors function

The Bateman–Horn conjecture: Heuristic, history, and applications

Collaborators (4)

Frederic Latremoliere

Jeffrey Lagarias

Florian Luca

Ethan Lee

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