Choie, YoungJu; Kumar, Rahul Arithmetic properties of the Herglotz-Zagier-Novikov function. (English) Zbl 07759060 Adv. Math. 433, Article ID 109315, 36 p. (2023). MSC: 11F67 11F99 30D05 33E20 PDFBibTeX XMLCite \textit{Y. Choie} and \textit{R. Kumar}, Adv. Math. 433, Article ID 109315, 36 p. (2023; Zbl 07759060) Full Text: DOI arXiv
Hoffstein, Jeff; Jung, Junehyuk; Lee, Min Non-vanishing of symmetric cube \(L\)-functions. (English) Zbl 07730989 J. Lond. Math. Soc., II. Ser. 107, No. 1, 153-188 (2023). Reviewer: Zhengyu Mao (Newark) MSC: 11F67 PDFBibTeX XMLCite \textit{J. Hoffstein} et al., J. Lond. Math. Soc., II. Ser. 107, No. 1, 153--188 (2023; Zbl 07730989) Full Text: DOI arXiv
Diamantis, Nikolaos; Strömberg, Fredrik Derivatives of \(L\)-series of weakly holomorphic cusp forms. (English) Zbl 1505.11074 Res. Math. Sci. 9, No. 4, Paper No. 64, 14 p. (2022). Reviewer: Ilker Inam (Bilecik) MSC: 11F37 11F67 11F11 11F27 PDFBibTeX XMLCite \textit{N. Diamantis} and \textit{F. Strömberg}, Res. Math. Sci. 9, No. 4, Paper No. 64, 14 p. (2022; Zbl 1505.11074) Full Text: DOI arXiv
Balkanova, Olga; Frolenkov, Dmitry; Risager, Morten S. Prime geodesics and averages of the Zagier \(L\)-series. (English) Zbl 1502.11095 Math. Proc. Camb. Philos. Soc. 172, No. 3, 705-728 (2022). Reviewer: Shin-ya Koyama (Yokohama) MSC: 11M36 11F72 11M41 PDFBibTeX XMLCite \textit{O. Balkanova} et al., Math. Proc. Camb. Philos. Soc. 172, No. 3, 705--728 (2022; Zbl 1502.11095) Full Text: DOI arXiv
Li, Wen-Ching Winnie; Long, Ling; Tu, Fang-Ting A whipple \(_7F_6\) formula revisited. (English) Zbl 1490.11050 Matematica 1, No. 2, 480-530 (2022). MSC: 11F11 33C20 11F80 11F67 11T24 PDFBibTeX XMLCite \textit{W.-C. W. Li} et al., Matematica 1, No. 2, 480--530 (2022; Zbl 1490.11050) Full Text: DOI arXiv
You, Yuanyi; Zhang, Yichao Rationality of the Petersson inner product of Cohen’s kernels. (English) Zbl 1499.11184 Int. J. Number Theory 18, No. 7, 1445-1463 (2022). MSC: 11F11 11F30 11F67 PDFBibTeX XMLCite \textit{Y. You} and \textit{Y. Zhang}, Int. J. Number Theory 18, No. 7, 1445--1463 (2022; Zbl 1499.11184) Full Text: DOI arXiv
Hoffstein, Jeff; Lee, Min; Nastasescu, Maria First moments of Rankin-Selberg convolutions of automorphic forms on \(\mathrm{GL}(2)\). (English) Zbl 1487.11048 Res. Number Theory 7, No. 4, Paper No. 60, 44 p. (2021). Reviewer: Thomas Oliver (Nottingham) MSC: 11F67 11M32 11M36 11F66 PDFBibTeX XMLCite \textit{J. Hoffstein} et al., Res. Number Theory 7, No. 4, Paper No. 60, 44 p. (2021; Zbl 1487.11048) Full Text: DOI arXiv
Balkanova, Olga The first moment of Maaß form symmetric square \(L\)-functions. (English) Zbl 1477.11092 Ramanujan J. 55, No. 2, 761-781 (2021). MSC: 11F67 11M06 11F66 11F72 PDFBibTeX XMLCite \textit{O. Balkanova}, Ramanujan J. 55, No. 2, 761--781 (2021; Zbl 1477.11092) Full Text: DOI arXiv
Balkanova, Olga; Frolenkov, Dmitry Moments of \(L\)-functions and the Liouville-Green method. (English) Zbl 1486.11071 J. Eur. Math. Soc. (JEMS) 23, No. 4, 1333-1380 (2021). MSC: 11F67 11F11 34E20 PDFBibTeX XMLCite \textit{O. Balkanova} and \textit{D. Frolenkov}, J. Eur. Math. Soc. (JEMS) 23, No. 4, 1333--1380 (2021; Zbl 1486.11071) Full Text: DOI arXiv
Balkanova, Olga; Frolenkov, Dmitry Non-vanishing of Maass form symmetric square \(L\)-functions. (English) Zbl 1469.11131 J. Math. Anal. Appl. 500, No. 2, Article ID 125148, 23 p. (2021). MSC: 11F67 11F66 11M06 33C05 PDFBibTeX XMLCite \textit{O. Balkanova} and \textit{D. Frolenkov}, J. Math. Anal. Appl. 500, No. 2, Article ID 125148, 23 p. (2021; Zbl 1469.11131) Full Text: DOI
Diamantis, Nikolaos; Rolen, Larry Eichler cohomology and zeros of polynomials associated to derivatives of \(L\)-functions. (English) Zbl 1472.11152 J. Reine Angew. Math. 770, 1-25 (2021). Reviewer: Solomon Friedberg (Chestnut Hill) MSC: 11F67 11F11 11F12 PDFBibTeX XMLCite \textit{N. Diamantis} and \textit{L. Rolen}, J. Reine Angew. Math. 770, 1--25 (2021; Zbl 1472.11152) Full Text: DOI arXiv
Broedel, Johannes; Kaderli, André Functional relations for elliptic polylogarithms. (English) Zbl 1519.39019 J. Phys. A, Math. Theor. 53, No. 24, Article ID 245201, 55 p. (2020). MSC: 39B32 11G55 11F67 PDFBibTeX XMLCite \textit{J. Broedel} and \textit{A. Kaderli}, J. Phys. A, Math. Theor. 53, No. 24, Article ID 245201, 55 p. (2020; Zbl 1519.39019) Full Text: DOI arXiv
Nelson, Paul D. Bounds for twisted symmetric square \(L\)-functions via half-integral weight periods. (English) Zbl 1457.11061 Forum Math. Sigma 8, Paper No. e44, 21 p. (2020). MSC: 11F67 11F27 11F37 58J51 PDFBibTeX XMLCite \textit{P. D. Nelson}, Forum Math. Sigma 8, Paper No. e44, 21 p. (2020; Zbl 1457.11061) Full Text: DOI arXiv
Frolenkov, Dmitry The cubic moment of automorphic \(L\)-functions in the weight aspect. (English) Zbl 1483.11100 J. Number Theory 207, 247-281 (2020). MSC: 11F67 11F11 33C20 PDFBibTeX XMLCite \textit{D. Frolenkov}, J. Number Theory 207, 247--281 (2020; Zbl 1483.11100) Full Text: DOI
Ito, Ryojun The special values of \(L\)-functions at \(s=1\) of theta products of weight 3. (English) Zbl 1472.11155 Res. Number Theory 5, No. 4, Paper No. 30, 8 p. (2019). MSC: 11F67 11F27 33C20 PDFBibTeX XMLCite \textit{R. Ito}, Res. Number Theory 5, No. 4, Paper No. 30, 8 p. (2019; Zbl 1472.11155) Full Text: DOI arXiv
Balkanova, Olga; Bhowmik, Gautami; Frolenkov, Dmitry; Raulf, Nicole A mean value result for a product of \(\mathrm{GL}(2)\) and \(\mathrm{GL}(3)\) \(L\)-functions. (English) Zbl 1443.11075 Mathematika 65, No. 3, 743-762 (2019). MSC: 11F67 11F66 11F11 PDFBibTeX XMLCite \textit{O. Balkanova} et al., Mathematika 65, No. 3, 743--762 (2019; Zbl 1443.11075) Full Text: DOI arXiv
Dilcher, Karl; Vignat, Christophe Infinite products involving Dirichlet characters and cyclotomic polynomials. (English) Zbl 1396.33002 Adv. Appl. Math. 100, 43-70 (2018). MSC: 33B15 11M32 PDFBibTeX XMLCite \textit{K. Dilcher} and \textit{C. Vignat}, Adv. Appl. Math. 100, 43--70 (2018; Zbl 1396.33002) Full Text: DOI arXiv
Liu, Shenhui On central \(L\)-derivative values of automorphic forms. (English) Zbl 1448.11097 Math. Z. 288, No. 3-4, 1327-1359 (2018). Reviewer: Nils Matthes (Oxford) MSC: 11F67 11F11 PDFBibTeX XMLCite \textit{S. Liu}, Math. Z. 288, No. 3--4, 1327--1359 (2018; Zbl 1448.11097) Full Text: DOI
Balkanova, Olga; Frolenkov, Dmitry Non-vanishing of automorphic \(L\)-functions of prime power level. (English) Zbl 1450.11046 Monatsh. Math. 185, No. 1, 17-41 (2018). MSC: 11F67 11F66 PDFBibTeX XMLCite \textit{O. Balkanova} and \textit{D. Frolenkov}, Monatsh. Math. 185, No. 1, 17--41 (2018; Zbl 1450.11046) Full Text: DOI arXiv
Bykovskii, Victor A.; Frolenkov, Dmitry A. Asymptotic formulae for the second moments of \(L\)-series of holomorphic cusp forms on the critical line. (English. Russian original) Zbl 1391.11096 Izv. Math. 81, No. 2, 239-268 (2017); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 5-34 (2017). Reviewer: Hirotaka Akatsuka (Otaru) MSC: 11M06 11F11 PDFBibTeX XMLCite \textit{V. A. Bykovskii} and \textit{D. A. Frolenkov}, Izv. Math. 81, No. 2, 239--268 (2017; Zbl 1391.11096); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 81, No. 2, 5--34 (2017) Full Text: DOI arXiv
Balkanova, Olga The shifted fourth moment of automorphic \(L\)-functions of prime power level. (English) Zbl 1354.11037 Acta Arith. 174, No. 2, 121-174 (2016). Reviewer: Valentin Blomer (Göttingen) MSC: 11F67 11F11 11M41 11M50 PDFBibTeX XMLCite \textit{O. Balkanova}, Acta Arith. 174, No. 2, 121--174 (2016; Zbl 1354.11037) Full Text: DOI arXiv
Lalín, Matilde; Samart, Detchat; Zudilin, Wadim Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. (English) Zbl 1337.11072 J. Lond. Math. Soc., II. Ser. 93, No. 2, 341-360 (2016). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11F67 11G05 11G16 19F27 33C75 33E05 PDFBibTeX XMLCite \textit{M. Lalín} et al., J. Lond. Math. Soc., II. Ser. 93, No. 2, 341--360 (2016; Zbl 1337.11072) Full Text: DOI arXiv
Bringmann, Kathrin; Rolen, Larry Half-integral weight Eichler integrals and quantum modular forms. (English) Zbl 1336.11039 J. Number Theory 161, 240-254 (2016). Reviewer: Stefan Kühnlein (Karlsruhe) MSC: 11F37 PDFBibTeX XMLCite \textit{K. Bringmann} and \textit{L. Rolen}, J. Number Theory 161, 240--254 (2016; Zbl 1336.11039) Full Text: DOI arXiv
Bailey, D. H.; Borwein, J. M. Crandall’s computation of the incomplete gamma function and the Hurwitz zeta function, with applications to Dirichlet \(L\)-series. (English) Zbl 1410.33013 Appl. Math. Comput. 268, 462-477 (2015). MSC: 33B30 11M41 40A25 11M35 PDFBibTeX XMLCite \textit{D. H. Bailey} and \textit{J. M. Borwein}, Appl. Math. Comput. 268, 462--477 (2015; Zbl 1410.33013) Full Text: DOI
Bringmann, Kathrin; Fricke, Karl-Heinz; Kent, Zachary A. Special \(L\)-values and periods of weakly holomorphic modular forms. (English) Zbl 1315.11034 Proc. Am. Math. Soc. 142, No. 10, 3425-3439 (2014). Reviewer: B. Z. Moroz (Bonn) MSC: 11F67 11F03 11F11 11F30 11F37 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Proc. Am. Math. Soc. 142, No. 10, 3425--3439 (2014; Zbl 1315.11034) Full Text: DOI
Bringmann, Kathrin; Diamantis, Nikolaos; Raum, Martin Mock period functions, sesquiharmonic Maass forms, and non-critical values of \(L\)-functions. (English) Zbl 1276.11076 Adv. Math. 233, No. 1, 115-134 (2013). MSC: 11F67 11F03 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Adv. Math. 233, No. 1, 115--134 (2013; Zbl 1276.11076) Full Text: DOI arXiv