Balkanova, Olga; Frolenkov, Dmitry A Voronoi summation formula for non-holomorphic Maass forms of half-integral weight. (English) Zbl 07825576 Monatsh. Math. 203, No. 4, 733-764 (2024). MSC: 11F12 11L05 11M06 PDFBibTeX XMLCite \textit{O. Balkanova} and \textit{D. Frolenkov}, Monatsh. Math. 203, No. 4, 733--764 (2024; Zbl 07825576) Full Text: DOI
Banerjee, Debika; Baruch, Ehud Moshe; Bump, Daniel Voronoi summation formula for Gaussian integers. (English) Zbl 1497.11196 Ramanujan J. 57, No. 1, 253-274 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M06 11R04 11R42 11F30 PDFBibTeX XMLCite \textit{D. Banerjee} et al., Ramanujan J. 57, No. 1, 253--274 (2022; Zbl 1497.11196) Full Text: DOI
Corbett, Andrew Voronoï summation for \(\mathrm{GL}_n\): collusion between level and modulus. (English) Zbl 1490.11053 Am. J. Math. 143, No. 5, 1361-1395 (2021). Reviewer: Valentin Blomer (Bonn) MSC: 11F30 11F72 PDFBibTeX XMLCite \textit{A. Corbett}, Am. J. Math. 143, No. 5, 1361--1395 (2021; Zbl 1490.11053) Full Text: DOI arXiv
Van Order, Jeanine Dirichlet twists of \(\mathrm{GL}_n\)-automorphic \(L\)-functions and hyper-Kloosterman Dirichlet series. (English. French summary) Zbl 1494.11050 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 3, 633-703 (2021). Reviewer: Rongqing Ye (Louisville) MSC: 11F66 11F67 11M41 PDFBibTeX XMLCite \textit{J. Van Order}, Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 3, 633--703 (2021; Zbl 1494.11050) Full Text: DOI arXiv
Hou, Fei On exponential sums for coefficients of general \(L\)-functions. (English) Zbl 1483.11173 Int. J. Number Theory 17, No. 8, 1851-1872 (2021). MSC: 11L07 11F30 11F70 PDFBibTeX XMLCite \textit{F. Hou}, Int. J. Number Theory 17, No. 8, 1851--1872 (2021; Zbl 1483.11173) Full Text: DOI
Qi, Zhi Theory of fundamental Bessel functions of high rank. (English) Zbl 1464.33001 Memoirs of the American Mathematical Society 1303. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4325-2/pbk; 978-1-4704-6405-9/ebook). vii, 123 p. (2020). Reviewer: Thomas Ernst (Uppsala) MSC: 33-02 33E20 33E30 44A20 PDFBibTeX XMLCite \textit{Z. Qi}, Theory of fundamental Bessel functions of high rank. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1464.33001) Full Text: DOI arXiv
Wong, Tian An On the balanced Voronoï formula for \(\mathrm{GL}_N\). (English) Zbl 1465.11110 Funct. Approximatio, Comment. Math. 62, No. 1, 121-130 (2020). MSC: 11F30 11F70 11F72 PDFBibTeX XMLCite \textit{T. A. Wong}, Funct. Approximatio, Comment. Math. 62, No. 1, 121--130 (2020; Zbl 1465.11110) Full Text: DOI arXiv Euclid
Chandee, Vorrapan; Li, Xiannan The second moment of \(\mathrm{GL} (4) \times \mathrm{GL} (2)\) \(L\)-functions at special points. (English) Zbl 1458.11076 Adv. Math. 365, Article ID 107060, 39 p. (2020). Reviewer: Qiao Zhang (Fort Worth) MSC: 11F66 11F41 11F72 PDFBibTeX XMLCite \textit{V. Chandee} and \textit{X. Li}, Adv. Math. 365, Article ID 107060, 39 p. (2020; Zbl 1458.11076) Full Text: DOI arXiv
Blomer, Valentin; Li, Xiaoqing; Miller, Stephen D. A spectral reciprocity formula and non-vanishing for \(L\)-functions on \(\mathrm{GL}(4)\times\mathrm{GL}(2)\). (English) Zbl 1506.11078 J. Number Theory 205, 1-43 (2019). MSC: 11F67 11F66 11M41 11F72 PDFBibTeX XMLCite \textit{V. Blomer} et al., J. Number Theory 205, 1--43 (2019; Zbl 1506.11078) Full Text: DOI arXiv
Lou, Miao Averages of shifted convolution sums for arithmetic functions. (English) Zbl 1470.11089 Front. Math. China 14, No. 1, 123-134 (2019). MSC: 11F30 11N75 PDFBibTeX XMLCite \textit{M. Lou}, Front. Math. China 14, No. 1, 123--134 (2019; Zbl 1470.11089) Full Text: DOI
Jiang, Yujiao; Lü, Guangshi Shifted convolution sums for higher rank groups. (English) Zbl 1470.11072 Forum Math. 31, No. 2, 361-383 (2019). MSC: 11F11 11F27 11F30 11F37 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{G. Lü}, Forum Math. 31, No. 2, 361--383 (2019; Zbl 1470.11072) Full Text: DOI
Jääsaari, Jesse; Vesalainen, Esa V. On sums involving Fourier coefficients of Maass forms for \(\mathrm{SL}(3,\mathbb Z)\). (English) Zbl 1432.11111 Funct. Approximatio, Comment. Math. 57, No. 2, 255-275 (2017); corrections ibid. 62, No. 1, 59-62 (2020). MSC: 11L07 11F30 11F37 PDFBibTeX XMLCite \textit{J. Jääsaari} and \textit{E. V. Vesalainen}, Funct. Approximatio, Comment. Math. 57, No. 2, 255--275 (2017; Zbl 1432.11111) Full Text: DOI arXiv Euclid
Czarnecki, Kyle Resonance sums for Rankin-Selberg products of \(\mathrm{SL}_m(\mathbb{Z})\) Maass cusp forms. (English) Zbl 1408.11044 J. Number Theory 163, 359-374 (2016). MSC: 11F66 11L03 PDFBibTeX XMLCite \textit{K. Czarnecki}, J. Number Theory 163, 359--374 (2016; Zbl 1408.11044) Full Text: DOI
Zhou, Fan Voronoi summation formulae on \(\mathrm{GL}(n)\). (English) Zbl 1406.11044 J. Number Theory 162, 483-495 (2016). MSC: 11F30 11F55 PDFBibTeX XMLCite \textit{F. Zhou}, J. Number Theory 162, 483--495 (2016; Zbl 1406.11044) Full Text: DOI arXiv
Ren, Xiumin; Ye, Yangbo Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for \(\mathrm{GL}_m(\mathbb Z)\). (English) Zbl 1386.11069 Sci. China, Math. 58, No. 10, 2105-2124 (2015). MSC: 11F30 11L07 11F46 PDFBibTeX XMLCite \textit{X. Ren} and \textit{Y. Ye}, Sci. China, Math. 58, No. 10, 2105--2124 (2015; Zbl 1386.11069) Full Text: DOI arXiv
Ernvall-Hytönen, Anne-Maria; Jääsaari, Jesse; Vesalainen, Esa V. Resonances and \(\Omega\)-results for exponential sums related to Maass forms for \(\mathrm{SL}(n, \mathbb{Z})\). (English) Zbl 1357.11067 J. Number Theory 153, 135-157 (2015). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11L03 11F30 11F37 PDFBibTeX XMLCite \textit{A.-M. Ernvall-Hytönen} et al., J. Number Theory 153, 135--157 (2015; Zbl 1357.11067) Full Text: DOI arXiv
Kowalski, Emmanuel; Ricotta, Guillaume Fourier coefficients of \(\mathrm{GL}(N)\) automorphic forms in arithmetic progressions. (English) Zbl 1307.11051 Geom. Funct. Anal. 24, No. 4, 1229-1297 (2014). Reviewer: Min Ho Lee (Cedar Falls) MSC: 11F11 11F30 11T23 11L05 60F05 PDFBibTeX XMLCite \textit{E. Kowalski} and \textit{G. Ricotta}, Geom. Funct. Anal. 24, No. 4, 1229--1297 (2014; Zbl 1307.11051) Full Text: DOI arXiv