@article{64181,
  abstract     = {{<p>
                    Let
                    <inline-formula content-type="math/mathml">
                      <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G">
                        <mml:semantics>
                          <mml:mi>G</mml:mi>
                          <mml:annotation encoding="application/x-tex">G</mml:annotation>
                        </mml:semantics>
                      </mml:math>
                    </inline-formula>
                    be a finite abelian
                    <inline-formula content-type="math/mathml">
                      <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p">
                        <mml:semantics>
                          <mml:mi>p</mml:mi>
                          <mml:annotation encoding="application/x-tex">p</mml:annotation>
                        </mml:semantics>
                      </mml:math>
                    </inline-formula>
                    -group. We count étale
                    <inline-formula content-type="math/mathml">
                      <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper G">
                        <mml:semantics>
                          <mml:mi>G</mml:mi>
                          <mml:annotation encoding="application/x-tex">G</mml:annotation>
                        </mml:semantics>
                      </mml:math>
                    </inline-formula>
                    -extensions of global rational function fields
                    <inline-formula content-type="math/mathml">
                      <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper F Subscript q Baseline left-parenthesis upper T right-parenthesis">
                        <mml:semantics>
                          <mml:mrow>
                            <mml:msub>
                              <mml:mrow class="MJX-TeXAtom-ORD">
                                <mml:mi mathvariant="double-struck">F</mml:mi>
                              </mml:mrow>
                              <mml:mi>q</mml:mi>
                            </mml:msub>
                            <mml:mo stretchy="false">(</mml:mo>
                            <mml:mi>T</mml:mi>
                            <mml:mo stretchy="false">)</mml:mo>
                          </mml:mrow>
                          <mml:annotation encoding="application/x-tex">\mathbb F_q(T)</mml:annotation>
                        </mml:semantics>
                      </mml:math>
                    </inline-formula>
                    of characteristic
                    <inline-formula content-type="math/mathml">
                      <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="p">
                        <mml:semantics>
                          <mml:mi>p</mml:mi>
                          <mml:annotation encoding="application/x-tex">p</mml:annotation>
                        </mml:semantics>
                      </mml:math>
                    </inline-formula>
                    by the degree of what we call their Artin–Schreier conductor. The corresponding (ordinary) generating function turns out to be rational. This gives an exact answer to the counting problem, and seems to beg for a geometric interpretation.
                  </p>
                  <p>This is in contrast with the generating functions for the ordinary conductor (from class field theory) and the discriminant, which in general have no meromorphic continuation to the entire complex plane.</p>}},
  author       = {{Gundlach, Fabian}},
  issn         = {{1088-6826}},
  journal      = {{Proceedings of the American Mathematical Society}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Counting abelian extensions by Artin–Schreier conductor}}},
  doi          = {{10.1090/proc/17440}},
  year         = {{2025}},
}

@article{63258,
  abstract     = {{<p>This manuscript studies a no-flux initial-boundary value problem for a four-component chemotaxis system that has been proposed as a model for the response of cytotoxic T-lymphocytes to a solid tumor. In contrast to classical Keller-Segel type situations focusing on two-component interplay of chemotaxing populations with a signal directly secreted by themselves, the presently considered system accounts for a certain indirect mechanism of attractant evolution. Despite the presence of a zero-order exciting nonlinearity of quadratic type that forms a core mathematical feature of the model, the manuscript asserts the global existence of classical solutions for initial data of arbitrary size in three-dimensional domains.</p>}},
  author       = {{Tao, Youshan and Winkler, Michael}},
  issn         = {{0002-9939}},
  journal      = {{Proceedings of the American Mathematical Society}},
  number       = {{10}},
  pages        = {{4325--4341}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Global smooth solutions in a chemotaxis system modeling immune response to a solid tumor}}},
  doi          = {{10.1090/proc/16867}},
  volume       = {{152}},
  year         = {{2024}},
}

@article{34839,
  abstract     = {{We describe the relations among the ℓ-torsion conjecture, a conjecture of Malle giving an upper bound for the number of extensions, and the discriminant multiplicity conjecture. We prove that the latter two conjectures are equivalent in some sense. Altogether, the three conjectures are equivalent for the class of solvable groups. We then prove the ℓ-torsion conjecture for ℓ-groups and the other two conjectures for nilpotent groups.}},
  author       = {{Klüners, Jürgen and Wang, Jiuya}},
  issn         = {{0002-9939}},
  journal      = {{Proceedings of the American Mathematical Society}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{7}},
  pages        = {{2793--2805}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{ℓ-torsion bounds for the class group of number fields with an ℓ-group as Galois group}}},
  doi          = {{10.1090/proc/15882}},
  volume       = {{150}},
  year         = {{2022}},
}

@article{37659,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0002-9939}},
  journal      = {{Proceedings of the American Mathematical Society}},
  keywords     = {{Applied Mathematics, General Mathematics}},
  number       = {{3}},
  pages        = {{1151--1163}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Positive intertwiners for Bessel functions of type B}}},
  doi          = {{10.1090/proc/15312}},
  volume       = {{149}},
  year         = {{2021}},
}

@article{40666,
  author       = {{Rösler, Margit and Voit, Michael}},
  issn         = {{0002-9939}},
  journal      = {{Proceedings of the American Mathematical Society}},
  number       = {{1}},
  pages        = {{183–194}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{An uncertainty principle for Hankel transforms}}},
  volume       = {{127}},
  year         = {{1999}},
}